Abstract

This work describes numerical methods for the joint reconstruction and segmentation of spectral images taken by compressive sensing coded aperture snapshot spectral imagers (CASSI). In a snapshot, a CASSI captures a two-dimensional (2D) array of measurements that is an encoded representation of both spectral information and 2D spatial information of a scene, resulting in significant savings in acquisition time and data storage. The reconstruction process decodes the 2D measurements to render a three- dimensional spatio-spectral estimate of the scene and is therefore an indispensable component of the spectral imager. In this study, we seek a particular form of the compressed sensing solution that as sumes spectrally homogeneous segments in the two spatial dimensions, and greatly reduces the number of unknowns, often turning the underdetermined reconstruction problem into one that is over determined. Numerical tests are reported on both simulated and real data representing compressed measurements.

© 2011 Optical Society of America

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F. Li, M. Ng, and R. Plemmons, “Coupled segmentation and denoising/deblurring models for hyperspectral material identification,” in Numerical Linear Algebra with Applications (Wiley, 2010).

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P. Gader, A. Zare, R. Close, and G. Tuell, “Co-registered hyperspectral and LiDAR Long Beach, Mississippi data collection,” University of Florida, University of Missouri, and Optech International (2010).

C. Cull, K. Choi, D. Brady, and T. Oliver, “Identification of fluorescent beads using a coded aperture snapshot spectral imager,” Appl. Opt. 49, B59–B70 (2010).
[CrossRef] [PubMed]

D. Kittle, K. Choi, A. Wagadarikar, and D. Brady, “Multiframe image estimation for coded aperture snapshot spectral imagers,” Appl. Opt. 49, 6824–6833 (2010).
[CrossRef] [PubMed]

2008

2007

M. Gehm, R. John, D. Brady, R. Willett, and T. Schulz, “Single-shot compressive spectral imaging with a dual-disperser architecture,” Opt. Express 15, 14013–14027 (2007).
[CrossRef] [PubMed]

R. Ramlau and W. Ring, “A Mumford-Shah level-set approach for the inversion and segmentation of x-ray tomography data,” J. Comput. Phys. 221, 539–557 (2007).
[CrossRef]

R. Maleh, A. Gilbert, and M. Strauss, “Sparse gradient image reconstruction done faster,” in IEEE International Conference on Image Processing, 2007. ICIP 2007 (IEEE, 2007), Vol.  2. pp. 77–80.

J. Bioucas-Dias and M. Figueiredo, “A new TwIST: two-step iterative shrinkage/thresholding algorithms for image restoration,” IEEE Trans. Image Process. 16, 2992–3004(2007).
[CrossRef] [PubMed]

2006

E. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory 52, 489–509(2006).
[CrossRef]

D. Donoho, “Compressed sensing,” IEEE Trans. Inf. Theory 52, 1289–1306 (2006).
[CrossRef]

2005

J. Ball and L. Bruce, “Level set segmentation of remotely sensed hyperspectral images,” in Proceedings of the 2005 IEEE International Geoscience and Remote Sensing Symposium (IEEE, 2005), pp. 5638–5642.
[CrossRef]

2004

A. Chambolle, “An algorithm for total variation minimization and applications,” J. Mathematical Imaging and Vision 20, 89–97 (2004).
[CrossRef]

K. Jorgensen, J. Africano, K. Hamada, E. Stansbery, P. Sydney, and P. Kervin, “Physical properties of orbital debris from spectroscopic observations,” Adv. Space Res. 34, 1021–1025 (2004).
[CrossRef]

J. Tropp, “Greed is good: algorithmic results for sparse approximation,” IEEE Trans. Inf. Theory 50, 2231–2242 (2004).
[CrossRef]

2003

D. Donoho and M. Elad, “Optimally sparse representation in general (nonorthogonal) dictionaries via l1 minimization,” Proc. Natl. Acad. Sci. USA 100, 2197–2202 (2003).
[CrossRef]

2002

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

2001

T. Chan and L. Vese, “Active contours without edges,” IEEE Trans. Image Process. 10, 266–277 (2001).
[CrossRef]

2000

1997

1994

1993

S. Mallat and Z. Zhang, “Matching pursuits with time-frequency dictionaries,” IEEE Trans. Signal Process. 41, 3397–3415 (1993).
[CrossRef]

Y. Pati, R. Rezaiifar, and P. Krishnaprasad, “Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition,” in 1993 Conference Record of The Twenty-Seventh Asilomar Conference on Signals, Systems and Computers (IEEE, 1993), pp. 40–44.

1988

J. Kent and K. Mardia, “Spatial classification using fuzzy membership models,” IEEE Trans. Pattern Anal. Machine Intell. 10, 659–671 (1988).
[CrossRef]

1983

S. Deans, The Radon Transform and Some of Its Applications (Wiley, 1983).

Abiad, R.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Africano, J.

K. Jorgensen, J. Africano, K. Hamada, E. Stansbery, P. Sydney, and P. Kervin, “Physical properties of orbital debris from spectroscopic observations,” Adv. Space Res. 34, 1021–1025 (2004).
[CrossRef]

Amato, D.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

An, M.

Andersson-Engels, S.

Appleby, M.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Aswchwanden, M.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Ball, J.

J. Ball and L. Bruce, “Level set segmentation of remotely sensed hyperspectral images,” in Proceedings of the 2005 IEEE International Geoscience and Remote Sensing Symposium (IEEE, 2005), pp. 5638–5642.
[CrossRef]

Banks, I. S.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Barrington-Leigh, C. P.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Benz, A.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Berg, P.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Bester, M.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Bevilacqua, F.

Bioucas-Dias, J.

J. Bioucas-Dias and M. Figueiredo, “A new TwIST: two-step iterative shrinkage/thresholding algorithms for image restoration,” IEEE Trans. Image Process. 16, 2992–3004(2007).
[CrossRef] [PubMed]

Boyle, R.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Brady, D.

Brodzik, A.

Brown, J. C.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Bruce, L.

J. Ball and L. Bruce, “Level set segmentation of remotely sensed hyperspectral images,” in Proceedings of the 2005 IEEE International Geoscience and Remote Sensing Symposium (IEEE, 2005), pp. 5638–5642.
[CrossRef]

Campbell, R. D.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Candès, E.

E. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory 52, 489–509(2006).
[CrossRef]

Canfield, R. C.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Carin, L.

Z. Xing, Department of Electrical and Computer Engineering, Duke University, Durham, NC, M. Zhou, A. Castrodad, G. Sapiro, and L. Carin, are preparing a manuscript to be called “Dictionary learning for noisy and incomplete hyperspectral images.”

Castrodad, A.

Z. Xing, Department of Electrical and Computer Engineering, Duke University, Durham, NC, M. Zhou, A. Castrodad, G. Sapiro, and L. Carin, are preparing a manuscript to be called “Dictionary learning for noisy and incomplete hyperspectral images.”

Chambolle, A.

A. Chambolle, “An algorithm for total variation minimization and applications,” J. Mathematical Imaging and Vision 20, 89–97 (2004).
[CrossRef]

Chan, T.

T. Chan and L. Vese, “Active contours without edges,” IEEE Trans. Image Process. 10, 266–277 (2001).
[CrossRef]

Choi, K.

Clark, D.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Close, R.

P. Gader, A. Zare, R. Close, and G. Tuell, “Co-registered hyperspectral and LiDAR Long Beach, Mississippi data collection,” University of Florida, University of Missouri, and Optech International (2010).

Conway, A.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Cork, C.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Crannell, C.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Crubb, J.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Csillaghy, A.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Cull, C.

Curtis, D. W.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Dam, J.

Deans, S.

S. Deans, The Radon Transform and Some of Its Applications (Wiley, 1983).

Dennis, B. R.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Donoho, D.

D. Donoho, “Compressed sensing,” IEEE Trans. Inf. Theory 52, 1289–1306 (2006).
[CrossRef]

D. Donoho and M. Elad, “Optimally sparse representation in general (nonorthogonal) dictionaries via l1 minimization,” Proc. Natl. Acad. Sci. USA 100, 2197–2202 (2003).
[CrossRef]

Elad, M.

D. Donoho and M. Elad, “Optimally sparse representation in general (nonorthogonal) dictionaries via l1 minimization,” Proc. Natl. Acad. Sci. USA 100, 2197–2202 (2003).
[CrossRef]

Emslie, A. G.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Figueiredo, M.

J. Bioucas-Dias and M. Figueiredo, “A new TwIST: two-step iterative shrinkage/thresholding algorithms for image restoration,” IEEE Trans. Image Process. 16, 2992–3004(2007).
[CrossRef] [PubMed]

Fivian, F.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Gader, P.

P. Gader, A. Zare, R. Close, and G. Tuell, “Co-registered hyperspectral and LiDAR Long Beach, Mississippi data collection,” University of Florida, University of Missouri, and Optech International (2010).

Gehm, M.

Gilbert, A.

R. Maleh, A. Gilbert, and M. Strauss, “Sparse gradient image reconstruction done faster,” in IEEE International Conference on Image Processing, 2007. ICIP 2007 (IEEE, 2007), Vol.  2. pp. 77–80.

Hamada, K.

K. Jorgensen, J. Africano, K. Hamada, E. Stansbery, P. Sydney, and P. Kervin, “Physical properties of orbital debris from spectroscopic observations,” Adv. Space Res. 34, 1021–1025 (2004).
[CrossRef]

Harvey, P. R.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Hashii, M.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Henneck, R.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Holman, G. D.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Hoyt, C.

Hudson, H.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Hurford, G. J.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Jackson, R.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

John, R.

Johns-Krull, C.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Jordan, J.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
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Jorgensen, K.

K. Jorgensen, J. Africano, K. Hamada, E. Stansbery, P. Sydney, and P. Kervin, “Physical properties of orbital debris from spectroscopic observations,” Adv. Space Res. 34, 1021–1025 (2004).
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Kent, J.

J. Kent and K. Mardia, “Spatial classification using fuzzy membership models,” IEEE Trans. Pattern Anal. Machine Intell. 10, 659–671 (1988).
[CrossRef]

Kervin, P.

K. Jorgensen, J. Africano, K. Hamada, E. Stansbery, P. Sydney, and P. Kervin, “Physical properties of orbital debris from spectroscopic observations,” Adv. Space Res. 34, 1021–1025 (2004).
[CrossRef]

Kittle, D.

Kosugi, T.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Krishnaprasad, P.

Y. Pati, R. Rezaiifar, and P. Krishnaprasad, “Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition,” in 1993 Conference Record of The Twenty-Seventh Asilomar Conference on Signals, Systems and Computers (IEEE, 1993), pp. 40–44.

Krucker, S.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Landis, D.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Lewis, M.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
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Li, F.

F. Li, M. Ng, and R. Plemmons, “Coupled segmentation and denoising/deblurring models for hyperspectral material identification,” in Numerical Linear Algebra with Applications (Wiley, 2010).

F. Li, M. Ng, R. Plemmons, S. Prasad, and Q. Zhang, “Hyperspectral image segmentation, deblurring, and spectral analysis for material identification,” Proc. SPIE 7701, 770103(2010).

Lin, R. P.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Madden, N.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
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Maksimovic, R.

R. Maksimovic, S. Stankovic, and D. Milovanovic, “Computed tomography image analyzer: 3D reconstruction and segmentation applying active contour models–′snakes′,” Int. J. Med. Inform. 58, 29–37 (2000).
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Maleh, R.

R. Maleh, A. Gilbert, and M. Strauss, “Sparse gradient image reconstruction done faster,” in IEEE International Conference on Image Processing, 2007. ICIP 2007 (IEEE, 2007), Vol.  2. pp. 77–80.

Mallat, S.

S. Mallat and Z. Zhang, “Matching pursuits with time-frequency dictionaries,” IEEE Trans. Signal Process. 41, 3397–3415 (1993).
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Malone, D.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Mardia, K.

J. Kent and K. Mardia, “Spatial classification using fuzzy membership models,” IEEE Trans. Pattern Anal. Machine Intell. 10, 659–671 (1988).
[CrossRef]

Matranga, M.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

McHedlishvili, A.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

McTiernan, J.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Metcalf, T.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Milovanovic, D.

R. Maksimovic, S. Stankovic, and D. Milovanovic, “Computed tomography image analyzer: 3D reconstruction and segmentation applying active contour models–′snakes′,” Int. J. Med. Inform. 58, 29–37 (2000).
[CrossRef] [PubMed]

Ming, P.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Mooney, J.

Morris, H.

Ng, M.

F. Li, M. Ng, and R. Plemmons, “Coupled segmentation and denoising/deblurring models for hyperspectral material identification,” in Numerical Linear Algebra with Applications (Wiley, 2010).

F. Li, M. Ng, R. Plemmons, S. Prasad, and Q. Zhang, “Hyperspectral image segmentation, deblurring, and spectral analysis for material identification,” Proc. SPIE 7701, 770103(2010).

Oliver, T.

Orwig, L.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Pankow, D.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Pati, Y.

Y. Pati, R. Rezaiifar, and P. Krishnaprasad, “Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition,” in 1993 Conference Record of The Twenty-Seventh Asilomar Conference on Signals, Systems and Computers (IEEE, 1993), pp. 40–44.

Pauca, V.

Pham, T.

Plemmons, R.

F. Li, M. Ng, R. Plemmons, S. Prasad, and Q. Zhang, “Hyperspectral image segmentation, deblurring, and spectral analysis for material identification,” Proc. SPIE 7701, 770103(2010).

F. Li, M. Ng, and R. Plemmons, “Coupled segmentation and denoising/deblurring models for hyperspectral material identification,” in Numerical Linear Algebra with Applications (Wiley, 2010).

Q. Zhang, H. Wang, R. Plemmons, and V. Pauca, “Tensor methods for hyperspectral data analysis: a space object material identification study,” J. Opt. Soc. Am. A 25, 3001–3012(2008).
[CrossRef]

Prasad, S.

F. Li, M. Ng, R. Plemmons, S. Prasad, and Q. Zhang, “Hyperspectral image segmentation, deblurring, and spectral analysis for material identification,” Proc. SPIE 7701, 770103(2010).

Pratt, R.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Preble, J.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Quinn, T.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Ramaty, R.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Ramlau, R.

R. Ramlau and W. Ring, “A Mumford-Shah level-set approach for the inversion and segmentation of x-ray tomography data,” J. Comput. Phys. 221, 539–557 (2007).
[CrossRef]

Raudorf, T.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Rezaiifar, R.

Y. Pati, R. Rezaiifar, and P. Krishnaprasad, “Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition,” in 1993 Conference Record of The Twenty-Seventh Asilomar Conference on Signals, Systems and Computers (IEEE, 1993), pp. 40–44.

Ring, W.

R. Ramlau and W. Ring, “A Mumford-Shah level-set approach for the inversion and segmentation of x-ray tomography data,” J. Comput. Phys. 221, 539–557 (2007).
[CrossRef]

Romberg, J.

E. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory 52, 489–509(2006).
[CrossRef]

Sapiro, G.

Z. Xing, Department of Electrical and Computer Engineering, Duke University, Durham, NC, M. Zhou, A. Castrodad, G. Sapiro, and L. Carin, are preparing a manuscript to be called “Dictionary learning for noisy and incomplete hyperspectral images.”

Schmahl, E.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Schulz, T.

Schwartz, R.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Shirey, K.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Slassi-Sennou, S.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Smith, D. M.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Snow, F.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Spott, T.

Stankovic, S.

R. Maksimovic, S. Stankovic, and D. Milovanovic, “Computed tomography image analyzer: 3D reconstruction and segmentation applying active contour models–′snakes′,” Int. J. Med. Inform. 58, 29–37 (2000).
[CrossRef] [PubMed]

Stansbery, E.

K. Jorgensen, J. Africano, K. Hamada, E. Stansbery, P. Sydney, and P. Kervin, “Physical properties of orbital debris from spectroscopic observations,” Adv. Space Res. 34, 1021–1025 (2004).
[CrossRef]

Sterling, R.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Strauss, M.

R. Maleh, A. Gilbert, and M. Strauss, “Sparse gradient image reconstruction done faster,” in IEEE International Conference on Image Processing, 2007. ICIP 2007 (IEEE, 2007), Vol.  2. pp. 77–80.

Sydney, P.

K. Jorgensen, J. Africano, K. Hamada, E. Stansbery, P. Sydney, and P. Kervin, “Physical properties of orbital debris from spectroscopic observations,” Adv. Space Res. 34, 1021–1025 (2004).
[CrossRef]

Tao, T.

E. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory 52, 489–509(2006).
[CrossRef]

Thomsen, K.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Tolbert, A. K,

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Treado, P.

Tromberg, B.

Tropp, J.

J. Tropp, “Greed is good: algorithmic results for sparse approximation,” IEEE Trans. Inf. Theory 50, 2231–2242 (2004).
[CrossRef]

Tuell, G.

P. Gader, A. Zare, R. Close, and G. Tuell, “Co-registered hyperspectral and LiDAR Long Beach, Mississippi data collection,” University of Florida, University of Missouri, and Optech International (2010).

Turin, P.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Van Beek, H. F.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

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T. Chan and L. Vese, “Active contours without edges,” IEEE Trans. Image Process. 10, 266–277 (2001).
[CrossRef]

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R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

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Wang, H.

Wanner, R.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

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Xing, Z.

Z. Xing, Department of Electrical and Computer Engineering, Duke University, Durham, NC, M. Zhou, A. Castrodad, G. Sapiro, and L. Carin, are preparing a manuscript to be called “Dictionary learning for noisy and incomplete hyperspectral images.”

Zare, A.

P. Gader, A. Zare, R. Close, and G. Tuell, “Co-registered hyperspectral and LiDAR Long Beach, Mississippi data collection,” University of Florida, University of Missouri, and Optech International (2010).

Zarro, D.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
[CrossRef]

Zehnder, A.

R. P. Lin, B. R. Dennis, G. J. Hurford, D. M. Smith, A. Zehnder, P. R. Harvey, D. W. Curtis, D. Pankow, P. Turin, M. Bester, A. Csillaghy, M. Lewis, N. Madden, H. F. Van Beek, M. Appleby, T. Raudorf, J. McTiernan, R. Ramaty, E. Schmahl, R. Schwartz, S. Krucker, R. Abiad, T. Quinn,P. Berg, M. Hashii, R. Sterling, R. Jackson, R. Pratt, R. D. Campbell, D. Malone, D. Landis, C. P. Barrington-Leigh, S. Slassi-Sennou, C. Cork, D. Clark, D. Amato, L. Orwig, R. Boyle, I. S. Banks, K. Shirey, A. K, Tolbert, D. Zarro, F. Snow, K. Thomsen, R. Henneck, A. McHedlishvili, P. Ming, F. Fivian, J. Jordan, R. Wanner, J. Crubb, J. Preble, M. Matranga, A. Benz, H. Hudson, R. C. Canfield, G. D. Holman, C. Crannell, T. Kosugi, A. G. Emslie, N. Vilmer, J. C. Brown, C. Johns-Krull, M. Aswchwanden, T. Metcalf, and A. Conway, “The Reuven Ramaty high-energy solar spectroscopic imager (RHESSI),” Sol. Phys. 210, 3–32(2002).
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F. Li, M. Ng, R. Plemmons, S. Prasad, and Q. Zhang, “Hyperspectral image segmentation, deblurring, and spectral analysis for material identification,” Proc. SPIE 7701, 770103(2010).

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Z. Xing, Department of Electrical and Computer Engineering, Duke University, Durham, NC, M. Zhou, A. Castrodad, G. Sapiro, and L. Carin, are preparing a manuscript to be called “Dictionary learning for noisy and incomplete hyperspectral images.”

Adv. Space Res.

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Figures (16)

Fig. 1
Fig. 1

(a) Segmented bottom cylinder area using the original C-V model. (b) Segmented same area using the generalized C-V model.

Fig. 2
Fig. 2

Segmentation of a DD-CASSI image (a) using the original TV algorithm and (b) using the modified TV with known s i ( λ ) .

Fig. 3
Fig. 3

First 25 iterations of the estimation of membership functions from left to right and top to bottom.

Fig. 4
Fig. 4

Estimated spectral signatures in blue are compared with the true ones in red.

Fig. 5
Fig. 5

Joint estimation of membership functions u i in (a) and spectral signatures, s i in (b) in the presence of noise ( SNR = 21 dB ).

Fig. 6
Fig. 6

Left image shows a Google map of the area while the right image shows one band of the simulated DD-CASSI image.

Fig. 7
Fig. 7

Estimated spectra of the segmented areas.

Fig. 8
Fig. 8

Segmentation map estimated from the DD-CASSI image.

Fig. 9
Fig. 9

(a) DD-CASSI image of the beads. (b) The estimated membership function map. (c) The beads spectral signatures from [27]. (d) The pseudocolored reconstructed image using TV minimization [27] with the spectral signatures of the marked beads in (c).

Fig. 10
Fig. 10

Top left image is a slice of the simulated hyperspectral cube, the top middle is the simulated SD-CASSI image, the top right is the spectral signature applied to all pixels in the square to the left, the bottom left is a slice of the reconstructed cube, and the bottom middle is the reconstructed spectral signature.

Fig. 11
Fig. 11

Top left image is a slice of the simulated hyperspectral cube, the top middle is the simulated SD-CASSI image, the top right are two spectral signatures applied to pixels in two rectangles to the left, the bottom left is a slice of the reconstructed cube, and the bottom middle are the reconstructed spectral signatures.

Fig. 12
Fig. 12

Comparison of three reconstruction methods using a single frame observation and known s i ( λ ) . Only the middle 40 rows of the original scene is used here.

Fig. 13
Fig. 13

(a) Relationship between the probability of a successful reconstruction and the number of observed frames for the three reconstruction methods. (b) Computation time of each method per iteration of ALS.

Fig. 14
Fig. 14

(a) Estimated membership function map in 20 iterations. (b) The estimated spectral signatures in blue compared to the original in red.

Fig. 15
Fig. 15

(a) Imaged color chart object. (b) The original SD-CASSI image with the reconstructed area in the red rectangle box. (c) The reconstructed segments.

Fig. 16
Fig. 16

(a) Reconstructed spectra compared with the reference by an Ocean Optics spectrometer. (b) The reconstructed spectra compared with reconstruction using the TwIST.

Equations (53)

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min f p , subject to     H f = g ,
min f , Φ Φ f p , subject to     H f = g .
min f H f g 2 2 .
f ( x , y , λ ) = i = 1 L u i ( x , y ) s i ( λ ) ,
f ^ = i = 1 L u i s i T ,
H f = H S u = H U s .
H f = i = 1 L H S i u i = i = 1 L H U i s i .
f = ( f 111 , , f 11 n 3 , f 121 , , f 12 n 3 , , f n 1 n 2 1 , , f n 1 n 2 n 3 ) T .
u ( n + 1 ) = arg min u H s ( n ) u g 2 2 , subject to     E u = 1 ,
s ( n + 1 ) = arg min s H u ( n + 1 ) s g 2 2 , subject to     s > 0 ,
min u i = 1 L G u i 1 , subject to     H s u = g     and     E u = 1 ,
F u = H s u g 2 2 + α u i = 1 L G u i 1 ,
H s ( n ) u ( n + 1 ) g 2 2 H u ( n + 1 ) s ( n + 1 ) g 2 2 H s ( n + 1 ) u ( n + 2 ) g 2 2 ,
H s ( n ) u ( n + 1 ) = H S ( n ) u ( n + 1 ) = H U ( n + 1 ) s ( n ) = H u ( n + 1 ) s ( n ) .
H s ( n ) u ( n + 1 ) g 2 2 = H u ( n + 1 ) s ( n ) g 2 2 H u ( n + 1 ) s ( n + 1 ) g 2 2 .
H u ( n + 1 ) s ( n + 1 ) g 2 2 = H s ( n + 1 ) u ( n + 1 ) g 2 2 H s ( n + 1 ) u ( n + 2 ) g 2 2 .
F = H f g 2 2 + α u i = 1 L G u i 1 + α s i = 1 L s i 2 2 ,
u ( n + 1 ) = arg min u H s ( n ) u g 2 2 + α u i = 1 L G u i 1 , subject to     E u ( n + 1 ) = 1 ,
s ( n + 1 ) = arg min s H u ( n + 1 ) s g 2 2 + α s i = 1 L s i 2 2 , subject to     s > 0 .
F u ( n ) = H s ( n ) u ( n + 1 ) g 2 2 + α u i = 1 L G u i ( n + 1 ) 1 + α s i = 1 L s i ( n ) 2 2 ,
F s ( n ) = H u ( n + 1 ) s ( n + 1 ) g 2 2 + α u i = 1 L G u i ( n + 1 ) 1 + α s i = 1 L s i ( n + 1 ) 2 2 .
F u ( n ) F s ( n ) .
F s ( n ) F u ( n + 1 ) .
A = { ( u , s ) | u i BV ( Ω ) , u i 0 , i = 1 L u i = 1 , s 0 } ,
F = Ω [ H ( f ) g ] 2 d x d y + α u i = 1 L Ω | u i | d x d y + α s i = 1 L Λ s i 2 ( λ ) d λ ,
F ( u ( n ) , s ( n ) ) M .
α u i = 1 L Ω | u i ( n ) | d x d y M .
u i ( n ) u i *     strongly in     L 1 ( Ω ) , u i ( n ) u i *     a . e . ( x , y ) Ω , u i ( n ) u i *     in the sense of measure .
Ω | u i * | d x d y lim inf n Ω | u i ( n ) | d x d y .
s ( n ) = P + [ ( H u ( n ) T H u ( n ) + α s I ) 1 ( H u ( n ) T g ) ] .
s ( n ) s * .
Ω [ H ( f * ) g ] 2 d x d y + i s i * ( λ ) d λ lim inf n Ω [ H ( f ( n ) ) g ] 2 d x d y + i s i ( n ) ( λ ) d λ ,
F ( u * , s * ) lim inf n F ( u ( n ) , s ( n ) ) ,
g i j = k f i j k c i , j k ,
H S i u i = Λ i u i ,
H s u g 2 2 = i = 1 L H S i u i i = 1 L Diag ( g ) u i 2 2 = i = 1 L ( Λ i Diag ( g ) ) u i 2 2 = i = 1 L Λ i Diag ( g ) 2 2 u i 2 .
F ( ϕ , c 1 , c 2 ) = μ Ω δ ( ϕ ) | ϕ | + ν Ω H ( ϕ ) + α 1 Ω ( u 0 c 1 ) 2 H ( ϕ ) + α 2 Ω ( u 0 c 2 ) 2 ( 1 H ( ϕ ) ) ,
H ( ϕ ) = { 1 ϕ 0 , 0 ϕ < 0 .
F ( ϕ , c 1 , c 2 ) = μ Ω δ ( ϕ ) | ϕ | + ν Ω u i + α 1 Ω ( g ˜ i g ) 2 u i + α 2 Ω ( g ˜ i g c 2 ) 2 ( 1 u i ) ,
H ( f ) = H ( i u i ( x , y ) s i ( λ ) ) = i H ( s i ( λ ) ) u i ( x , y ) ,
H ( f ) g = i [ H ( s i ( λ ) ) g ( x , y ) ] u i ( x , y ) .
i Ω | u i | d x d y + α u i Ω ( g c i ) 2 u i 2 d x d y .
i Ω | u i | d x d y + α u i Ω [ g ˜ i g ] 2 u i 2 d x d y .
u = P Z 2 [ ( H s T * H s ) 1 ( H s T g ) ] ,
u = min { max { ( H s T * H s ) 1 ( H s T g ) , 0 } , 1 } .
α E u 1 2 2 .
F TV = 1 2 H s u g 2 2 + α u 2 v u 2 2 + G v 1 ,
p ( n + 1 ) = p ( n ) + ϕ ( div p ( n ) α u u ( n ) ) 1 + ϕ ( div p ( n ) α u u ( n ) ) , v ( n + 1 ) = u ( n ) 1 α u div p ( n + 1 ) , u ( n + 1 ) = ( H s T H s + α u I ) 1 ( H s T g + α u v ( n + 1 ) ) ,
min u ^ u ^ 1 , subject to     H s G 1 u ^ = g ,
u i ( x , y ) = { 1 u i ( x , y ) u j ( x , y ) ,     j i 0 otherwise . .
ϵ = f f 0 2 2 f 0 2 2 ,
SNR = 20 log 10 ( σ signal σ noise ) .
g i j = k = 1 n 3 c i , j + k f i , j + k , k ,

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