E. Candès, Y. Eldar, D. Needell, and P. Randall, “Compressed sensing with coherent and redundant dictionaries,” Appl. Comput. Harmon. Anal. 31, 59–73 (2011).

[CrossRef]

J. Bowley and L. Rebollo-Neira, “Sparsity and something else: an approach to encrypted image folding,” IEEE Signal Process. Lett. 18, 189–192 (2011).

[CrossRef]

R. Baraniuk, “More is less: signal processing and the data deluge,” Science 331, 717–719 (2011).

[CrossRef]

Z. Xu and E. Y. Lam, “Image reconstruction using spectroscopic and hyperspectral information for compressive terahertz imaging,” J. Opt. Soc. Am. A 27, 1638–1646 (2010).

[CrossRef]

J. Wright, Yi Ma, J. Mairal, G. Sapiro, T. S. Huang, and S. Yan, “Sparse representation for computer vision and pattern recognition,” Proc. IEEE 98, 1031–1044 (2010).

[CrossRef]

L. Rebollo-Neira and Z. Xu, “Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval,” Signal Process. 90, 2308–2313 (2010).

[CrossRef]

E. Candès and M. Wakin, “An introduction to compressive sampling,” IEEE Signal Process. Mag. 25(2), 21–30 (2008).

[CrossRef]

J. Romberg, “Imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 14–20 (2008).

[CrossRef]

J. Mairal, M. Eldar, and G. Sapiro, “Sparse representation for color image restoration,” IEEE Trans. Image Process. 17, 53–69 (2008).

[CrossRef]

J. Bobin, J.-L. Stack, and R. Ottensamer, “Compressed sensing in astronomy,,” IEEE J. Sel. Top. Signal Process. 2, 718–726 (2008).

[CrossRef]

S. Fischer, G. Cristóbal, and R. Redondo, “Sparse overcomplete Gabor wavelet representation based on local competitions,” IEEE Trans. Image Process. 15, 265–272 (2006).

[CrossRef]

M. Andrle and L. Rebollo-Neira, “A swapping-based refinement of orthogonal matching pursuit strategies,” Signal Process. 86, 480–495 (2006).

[CrossRef]

M. Andrle and L. Rebollo-Neira, “Cardinal B-spline dictionaries on a compact interval,” Appl. Comput. Harmon. Anal. 18, 336–346 (2005).

[CrossRef]

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: from error visibility to structural similarity,” IEEE Trans. Image Process. 13, 600–612 (2004).

[CrossRef]

L. Rebollo-Neira and D. Lowe, “Optimized orthogonal matching pursuit approach,” IEEE Signal Process. Lett. 9, 137–140 (2002).

[CrossRef]

S. S. Chen, D. L. Donoho, and M. A. Saunders, “Atomic decomposition by basis pursuit,” SIAM J. Sci. Comput. 20, 33–61 (1998).

[CrossRef]

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

[CrossRef]

L. K. Jones, “On a conjecture of Huber concerning the convergence of projection pursuit regression,” Ann. Statist. 15, 880–882 (1987).

[CrossRef]

M. Andrle and L. Rebollo-Neira, “A swapping-based refinement of orthogonal matching pursuit strategies,” Signal Process. 86, 480–495 (2006).

[CrossRef]

M. Andrle and L. Rebollo-Neira, “Cardinal B-spline dictionaries on a compact interval,” Appl. Comput. Harmon. Anal. 18, 336–346 (2005).

[CrossRef]

R. Baraniuk, “More is less: signal processing and the data deluge,” Science 331, 717–719 (2011).

[CrossRef]

J. Bobin, J.-L. Stack, and R. Ottensamer, “Compressed sensing in astronomy,,” IEEE J. Sel. Top. Signal Process. 2, 718–726 (2008).

[CrossRef]

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: from error visibility to structural similarity,” IEEE Trans. Image Process. 13, 600–612 (2004).

[CrossRef]

L. Rebollo-Neira, J. Bowley, A. Constantinides, and A. Plastino, “Self contained encrypted image folding,” Phys. A 391, 5858–5870 (2012).

[CrossRef]

J. Bowley and L. Rebollo-Neira, “Sparsity and something else: an approach to encrypted image folding,” IEEE Signal Process. Lett. 18, 189–192 (2011).

[CrossRef]

E. Candès, Y. Eldar, D. Needell, and P. Randall, “Compressed sensing with coherent and redundant dictionaries,” Appl. Comput. Harmon. Anal. 31, 59–73 (2011).

[CrossRef]

E. Candès and M. Wakin, “An introduction to compressive sampling,” IEEE Signal Process. Mag. 25(2), 21–30 (2008).

[CrossRef]

S. S. Chen, D. L. Donoho, and M. A. Saunders, “Atomic decomposition by basis pursuit,” SIAM J. Sci. Comput. 20, 33–61 (1998).

[CrossRef]

L. Rebollo-Neira, J. Bowley, A. Constantinides, and A. Plastino, “Self contained encrypted image folding,” Phys. A 391, 5858–5870 (2012).

[CrossRef]

S. Fischer, G. Cristóbal, and R. Redondo, “Sparse overcomplete Gabor wavelet representation based on local competitions,” IEEE Trans. Image Process. 15, 265–272 (2006).

[CrossRef]

I. Daubechies, Ten Lectures on Wavelets (SIAM, 1992).

C. de Boor, A Practical Guide to Splines Applied Mathematical Sciences, Vol. 27 (Springer-Verlag, 1978).

S. S. Chen, D. L. Donoho, and M. A. Saunders, “Atomic decomposition by basis pursuit,” SIAM J. Sci. Comput. 20, 33–61 (1998).

[CrossRef]

J. Mairal, M. Eldar, and G. Sapiro, “Sparse representation for color image restoration,” IEEE Trans. Image Process. 17, 53–69 (2008).

[CrossRef]

E. Candès, Y. Eldar, D. Needell, and P. Randall, “Compressed sensing with coherent and redundant dictionaries,” Appl. Comput. Harmon. Anal. 31, 59–73 (2011).

[CrossRef]

J.-L. Starck, F. Murtagh, and J. M. Fadili, Sparse Image and Signal Processing (Cambridge University, 2010).

S. Fischer, G. Cristóbal, and R. Redondo, “Sparse overcomplete Gabor wavelet representation based on local competitions,” IEEE Trans. Image Process. 15, 265–272 (2006).

[CrossRef]

J. Wright, Yi Ma, J. Mairal, G. Sapiro, T. S. Huang, and S. Yan, “Sparse representation for computer vision and pattern recognition,” Proc. IEEE 98, 1031–1044 (2010).

[CrossRef]

L. K. Jones, “On a conjecture of Huber concerning the convergence of projection pursuit regression,” Ann. Statist. 15, 880–882 (1987).

[CrossRef]

Y. C. Pati, R. Rezaiifar, and P. S. Krishnaprasad, “Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition,” in Proceedings of 27th Asilomar Conference on Signals, Systems and Computers (IEEE, 1993), pp. 40–44.

L. Rebollo-Neira and D. Lowe, “Optimized orthogonal matching pursuit approach,” IEEE Signal Process. Lett. 9, 137–140 (2002).

[CrossRef]

J. Wright, Yi Ma, J. Mairal, G. Sapiro, T. S. Huang, and S. Yan, “Sparse representation for computer vision and pattern recognition,” Proc. IEEE 98, 1031–1044 (2010).

[CrossRef]

J. Wright, Yi Ma, J. Mairal, G. Sapiro, T. S. Huang, and S. Yan, “Sparse representation for computer vision and pattern recognition,” Proc. IEEE 98, 1031–1044 (2010).

[CrossRef]

J. Mairal, M. Eldar, and G. Sapiro, “Sparse representation for color image restoration,” IEEE Trans. Image Process. 17, 53–69 (2008).

[CrossRef]

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

[CrossRef]

J.-L. Starck, F. Murtagh, and J. M. Fadili, Sparse Image and Signal Processing (Cambridge University, 2010).

E. Candès, Y. Eldar, D. Needell, and P. Randall, “Compressed sensing with coherent and redundant dictionaries,” Appl. Comput. Harmon. Anal. 31, 59–73 (2011).

[CrossRef]

J. Bobin, J.-L. Stack, and R. Ottensamer, “Compressed sensing in astronomy,,” IEEE J. Sel. Top. Signal Process. 2, 718–726 (2008).

[CrossRef]

Y. C. Pati, R. Rezaiifar, and P. S. Krishnaprasad, “Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition,” in Proceedings of 27th Asilomar Conference on Signals, Systems and Computers (IEEE, 1993), pp. 40–44.

L. Rebollo-Neira, J. Bowley, A. Constantinides, and A. Plastino, “Self contained encrypted image folding,” Phys. A 391, 5858–5870 (2012).

[CrossRef]

E. Candès, Y. Eldar, D. Needell, and P. Randall, “Compressed sensing with coherent and redundant dictionaries,” Appl. Comput. Harmon. Anal. 31, 59–73 (2011).

[CrossRef]

L. Rebollo-Neira, J. Bowley, A. Constantinides, and A. Plastino, “Self contained encrypted image folding,” Phys. A 391, 5858–5870 (2012).

[CrossRef]

J. Bowley and L. Rebollo-Neira, “Sparsity and something else: an approach to encrypted image folding,” IEEE Signal Process. Lett. 18, 189–192 (2011).

[CrossRef]

L. Rebollo-Neira and Z. Xu, “Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval,” Signal Process. 90, 2308–2313 (2010).

[CrossRef]

M. Andrle and L. Rebollo-Neira, “A swapping-based refinement of orthogonal matching pursuit strategies,” Signal Process. 86, 480–495 (2006).

[CrossRef]

M. Andrle and L. Rebollo-Neira, “Cardinal B-spline dictionaries on a compact interval,” Appl. Comput. Harmon. Anal. 18, 336–346 (2005).

[CrossRef]

L. Rebollo-Neira and D. Lowe, “Optimized orthogonal matching pursuit approach,” IEEE Signal Process. Lett. 9, 137–140 (2002).

[CrossRef]

S. Fischer, G. Cristóbal, and R. Redondo, “Sparse overcomplete Gabor wavelet representation based on local competitions,” IEEE Trans. Image Process. 15, 265–272 (2006).

[CrossRef]

Y. C. Pati, R. Rezaiifar, and P. S. Krishnaprasad, “Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition,” in Proceedings of 27th Asilomar Conference on Signals, Systems and Computers (IEEE, 1993), pp. 40–44.

J. Romberg, “Imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 14–20 (2008).

[CrossRef]

J. Wright, Yi Ma, J. Mairal, G. Sapiro, T. S. Huang, and S. Yan, “Sparse representation for computer vision and pattern recognition,” Proc. IEEE 98, 1031–1044 (2010).

[CrossRef]

J. Mairal, M. Eldar, and G. Sapiro, “Sparse representation for color image restoration,” IEEE Trans. Image Process. 17, 53–69 (2008).

[CrossRef]

S. S. Chen, D. L. Donoho, and M. A. Saunders, “Atomic decomposition by basis pursuit,” SIAM J. Sci. Comput. 20, 33–61 (1998).

[CrossRef]

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: from error visibility to structural similarity,” IEEE Trans. Image Process. 13, 600–612 (2004).

[CrossRef]

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: from error visibility to structural similarity,” IEEE Trans. Image Process. 13, 600–612 (2004).

[CrossRef]

J. Bobin, J.-L. Stack, and R. Ottensamer, “Compressed sensing in astronomy,,” IEEE J. Sel. Top. Signal Process. 2, 718–726 (2008).

[CrossRef]

J.-L. Starck, F. Murtagh, and J. M. Fadili, Sparse Image and Signal Processing (Cambridge University, 2010).

E. Candès and M. Wakin, “An introduction to compressive sampling,” IEEE Signal Process. Mag. 25(2), 21–30 (2008).

[CrossRef]

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: from error visibility to structural similarity,” IEEE Trans. Image Process. 13, 600–612 (2004).

[CrossRef]

J. Wright, Yi Ma, J. Mairal, G. Sapiro, T. S. Huang, and S. Yan, “Sparse representation for computer vision and pattern recognition,” Proc. IEEE 98, 1031–1044 (2010).

[CrossRef]

J. Wright, Yi Ma, J. Mairal, G. Sapiro, T. S. Huang, and S. Yan, “Sparse representation for computer vision and pattern recognition,” Proc. IEEE 98, 1031–1044 (2010).

[CrossRef]

R. Young, An Introduction to Nonharmonic Fourier Series(Academic, 1980).

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

[CrossRef]

L. K. Jones, “On a conjecture of Huber concerning the convergence of projection pursuit regression,” Ann. Statist. 15, 880–882 (1987).

[CrossRef]

E. Candès, Y. Eldar, D. Needell, and P. Randall, “Compressed sensing with coherent and redundant dictionaries,” Appl. Comput. Harmon. Anal. 31, 59–73 (2011).

[CrossRef]

M. Andrle and L. Rebollo-Neira, “Cardinal B-spline dictionaries on a compact interval,” Appl. Comput. Harmon. Anal. 18, 336–346 (2005).

[CrossRef]

J. Bobin, J.-L. Stack, and R. Ottensamer, “Compressed sensing in astronomy,,” IEEE J. Sel. Top. Signal Process. 2, 718–726 (2008).

[CrossRef]

J. Bowley and L. Rebollo-Neira, “Sparsity and something else: an approach to encrypted image folding,” IEEE Signal Process. Lett. 18, 189–192 (2011).

[CrossRef]

L. Rebollo-Neira and D. Lowe, “Optimized orthogonal matching pursuit approach,” IEEE Signal Process. Lett. 9, 137–140 (2002).

[CrossRef]

E. Candès and M. Wakin, “An introduction to compressive sampling,” IEEE Signal Process. Mag. 25(2), 21–30 (2008).

[CrossRef]

J. Romberg, “Imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 14–20 (2008).

[CrossRef]

S. Fischer, G. Cristóbal, and R. Redondo, “Sparse overcomplete Gabor wavelet representation based on local competitions,” IEEE Trans. Image Process. 15, 265–272 (2006).

[CrossRef]

J. Mairal, M. Eldar, and G. Sapiro, “Sparse representation for color image restoration,” IEEE Trans. Image Process. 17, 53–69 (2008).

[CrossRef]

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: from error visibility to structural similarity,” IEEE Trans. Image Process. 13, 600–612 (2004).

[CrossRef]

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

[CrossRef]

L. P. Yaroslavsky, G. Shabat, B. G. Salomon, I. A. Ideses, and B. Fishbain, “Nonuniform sampling, image recovery from sparse data and the discrete sampling theorem,” J. Opt. Soc. Am. A 26, 566–575 (2009).

[CrossRef]

Z. Xu and E. Y. Lam, “Image reconstruction using spectroscopic and hyperspectral information for compressive terahertz imaging,” J. Opt. Soc. Am. A 27, 1638–1646 (2010).

[CrossRef]

A. Fannjiang and H.-C. Tseng, “Compressive imaging of subwavelength structures: periodic rough surfaces,” J. Opt. Soc. Am. A 29, 617–626 (2012).

[CrossRef]

L. Rebollo-Neira, J. Bowley, A. Constantinides, and A. Plastino, “Self contained encrypted image folding,” Phys. A 391, 5858–5870 (2012).

[CrossRef]

J. Wright, Yi Ma, J. Mairal, G. Sapiro, T. S. Huang, and S. Yan, “Sparse representation for computer vision and pattern recognition,” Proc. IEEE 98, 1031–1044 (2010).

[CrossRef]

R. Baraniuk, “More is less: signal processing and the data deluge,” Science 331, 717–719 (2011).

[CrossRef]

S. S. Chen, D. L. Donoho, and M. A. Saunders, “Atomic decomposition by basis pursuit,” SIAM J. Sci. Comput. 20, 33–61 (1998).

[CrossRef]

M. Andrle and L. Rebollo-Neira, “A swapping-based refinement of orthogonal matching pursuit strategies,” Signal Process. 86, 480–495 (2006).

[CrossRef]

L. Rebollo-Neira and Z. Xu, “Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval,” Signal Process. 90, 2308–2313 (2010).

[CrossRef]

C. de Boor, A Practical Guide to Splines Applied Mathematical Sciences, Vol. 27 (Springer-Verlag, 1978).

http://www.nonlinear-approx/info .

I. Daubechies, Ten Lectures on Wavelets (SIAM, 1992).

Y. C. Pati, R. Rezaiifar, and P. S. Krishnaprasad, “Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition,” in Proceedings of 27th Asilomar Conference on Signals, Systems and Computers (IEEE, 1993), pp. 40–44.

http://http://www.eso.org/public/ .

http://hubblesite.org/ .

R. Young, An Introduction to Nonharmonic Fourier Series(Academic, 1980).

J.-L. Starck, F. Murtagh, and J. M. Fadili, Sparse Image and Signal Processing (Cambridge University, 2010).