Abstract

Compressive sensing is a powerful tool to efficiently acquire and reconstruct an image even in diffuse optical tomography (DOT) applications. In this work, a time-resolved DOT system based on structured light illumination, compressive detection, and multiple view acquisition has been proposed and experimentally validated on a biological tissue-mimicking phantom. The experimental scheme is based on two digital micromirror devices for illumination and detection modulation, in combination with a time-resolved single element detector. We fully validated the method and demonstrated both the imaging and tomographic capabilities of the system, providing state-of-the-art reconstruction quality.

© 2017 Optical Society of America

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Corrections

17 July 2017: A correction was made to the figure order and the figure callouts.

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References

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2017 (1)

F. Rousset, N. Ducros, A. Farina, G. Valentini, C. D’Andrea, and F. Peyrin, IEEE Trans. Comput. Imaging 3, 36 (2017).

2016 (2)

S. K. V. Sekar, A. D. Mora, I. Bargigia, E. Martinenghi, C. Lindner, P. Farzam, M. Pagliazzi, T. Durduran, P. Taroni, A. Pifferi, and A. Farina, IEEE J. Sel. Top. Quantum Electron. 22, 406 (2016).
[Crossref]

N. Huynh, E. Zhang, M. Betcke, S. Arridge, P. Beard, and B. Cox, Optica 3, 26 (2016).

2015 (1)

2014 (4)

2013 (2)

N. Ducros, A. Bassi, G. Valentini, G. Canti, S. Arridge, and C. D’Andrea, J. Biomed. Opt. 18, 20503 (2013).
[Crossref]

V. Venugopal and X. Intes, J. Biomed. Opt. 18, 036006 (2013).
[Crossref]

2011 (1)

2010 (1)

2008 (4)

M. Duarte, M. Davenport, D. Takhar, J. Laska, T. S. T. Sun, K. Kelly, and R. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[Crossref]

D. R. Leff, O. J. Warren, L. C. Enfield, A. Gibson, T. Athanasiou, D. K. Patten, J. Hebden, G. Z. Yang, and A. Darzi, Breast Cancer Res. Treat. 108, 9 (2008).
[Crossref]

S. D. Konecky, G. Y. Panasyuk, K. Lee, V. Markel, A. G. Yodh, and J. C. Schotland, Opt. Express 16, 5048 (2008).
[Crossref]

A. Bassi, C. D’Andrea, G. Valentini, R. Cubeddu, and S. Arridge, Opt. Lett. 33, 2836 (2008).
[Crossref]

2006 (1)

2005 (2)

D. J. Cuccia, F. Bevilacqua, A. J. Durkin, and B. J. Tromberg, Opt. Lett. 30, 1354 (2005).
[Crossref]

M. Schweiger, S. R. Arridge, and I. Nissilä, Phys. Med. Biol. 50, 2365 (2005).
[Crossref]

2004 (1)

S. R. Cherry, Phys. Med. Biol. 49, R13 (2004).
[Crossref]

1995 (1)

1981 (1)

T. Beer, Am. J. Phys. 49, 466 (1981).
[Crossref]

Andersson-Engels, S.

Andrés, P.

Arridge, S.

Arridge, S. R.

M. Schweiger, S. R. Arridge, and I. Nissilä, Phys. Med. Biol. 50, 2365 (2005).
[Crossref]

S. R. Arridge and M. Schweiger, Appl. Opt. 34, 8026 (1995).
[Crossref]

Athanasiou, T.

D. R. Leff, O. J. Warren, L. C. Enfield, A. Gibson, T. Athanasiou, D. K. Patten, J. Hebden, G. Z. Yang, and A. Darzi, Breast Cancer Res. Treat. 108, 9 (2008).
[Crossref]

Bangerth, W.

Baraniuk, R.

M. Duarte, M. Davenport, D. Takhar, J. Laska, T. S. T. Sun, K. Kelly, and R. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[Crossref]

Bargigia, I.

S. K. V. Sekar, A. D. Mora, I. Bargigia, E. Martinenghi, C. Lindner, P. Farzam, M. Pagliazzi, T. Durduran, P. Taroni, A. Pifferi, and A. Farina, IEEE J. Sel. Top. Quantum Electron. 22, 406 (2016).
[Crossref]

Baribeau, F.

Bassi, A.

Beard, P.

Beer, T.

T. Beer, Am. J. Phys. 49, 466 (1981).
[Crossref]

Bénazech-Lavoué, M.

Bérubé-Lauzière, Y.

Betcke, M.

Bevilacqua, F.

Bodnar, O.

Botwicz, M.

Bouchard, J.-P.

Canti, G.

N. Ducros, A. Bassi, G. Valentini, G. Canti, S. Arridge, and C. D’Andrea, J. Biomed. Opt. 18, 20503 (2013).
[Crossref]

Chen, J.

Cherry, S. R.

S. R. Cherry, Phys. Med. Biol. 49, R13 (2004).
[Crossref]

Clemente, P.

Cox, B.

Cubeddu, R.

Cuccia, D. J.

Culver, J. P.

A. T. Eggebrecht, S. L. Ferradal, A. Robichaux-Viehoever, M. S. Hassanpour, H. Dehghani, A. Z. Snyder, T. Hershey, and J. P. Culver, Nat. Photonics 8, 448 (2014).
[Crossref]

D’Andrea, C.

F. Rousset, N. Ducros, A. Farina, G. Valentini, C. D’Andrea, and F. Peyrin, IEEE Trans. Comput. Imaging 3, 36 (2017).

N. Ducros, A. Bassi, G. Valentini, G. Canti, S. Arridge, and C. D’Andrea, J. Biomed. Opt. 18, 20503 (2013).
[Crossref]

N. Ducros, A. Bassi, G. Valentini, M. Schweiger, S. Arridge, and C. D’Andrea, Opt. Lett. 36, 1377 (2011).
[Crossref]

A. Bassi, C. D’Andrea, G. Valentini, R. Cubeddu, and S. Arridge, Opt. Lett. 33, 2836 (2008).
[Crossref]

Darzi, A.

D. R. Leff, O. J. Warren, L. C. Enfield, A. Gibson, T. Athanasiou, D. K. Patten, J. Hebden, G. Z. Yang, and A. Darzi, Breast Cancer Res. Treat. 108, 9 (2008).
[Crossref]

Davenport, M.

M. Duarte, M. Davenport, D. Takhar, J. Laska, T. S. T. Sun, K. Kelly, and R. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[Crossref]

Dehghani, H.

A. T. Eggebrecht, S. L. Ferradal, A. Robichaux-Viehoever, M. S. Hassanpour, H. Dehghani, A. Z. Snyder, T. Hershey, and J. P. Culver, Nat. Photonics 8, 448 (2014).
[Crossref]

Di Ninni, P.

Duarte, M.

M. Duarte, M. Davenport, D. Takhar, J. Laska, T. S. T. Sun, K. Kelly, and R. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[Crossref]

Ducros, N.

F. Rousset, N. Ducros, A. Farina, G. Valentini, C. D’Andrea, and F. Peyrin, IEEE Trans. Comput. Imaging 3, 36 (2017).

N. Ducros, A. Bassi, G. Valentini, G. Canti, S. Arridge, and C. D’Andrea, J. Biomed. Opt. 18, 20503 (2013).
[Crossref]

N. Ducros, A. Bassi, G. Valentini, M. Schweiger, S. Arridge, and C. D’Andrea, Opt. Lett. 36, 1377 (2011).
[Crossref]

Durán, V.

Durduran, T.

Durkin, A. J.

Eggebrecht, A. T.

A. T. Eggebrecht, S. L. Ferradal, A. Robichaux-Viehoever, M. S. Hassanpour, H. Dehghani, A. Z. Snyder, T. Hershey, and J. P. Culver, Nat. Photonics 8, 448 (2014).
[Crossref]

Elster, C.

Enfield, L. C.

D. R. Leff, O. J. Warren, L. C. Enfield, A. Gibson, T. Athanasiou, D. K. Patten, J. Hebden, G. Z. Yang, and A. Darzi, Breast Cancer Res. Treat. 108, 9 (2008).
[Crossref]

Farina, A.

Farzam, P.

S. K. V. Sekar, A. D. Mora, I. Bargigia, E. Martinenghi, C. Lindner, P. Farzam, M. Pagliazzi, T. Durduran, P. Taroni, A. Pifferi, and A. Farina, IEEE J. Sel. Top. Quantum Electron. 22, 406 (2016).
[Crossref]

Ferradal, S. L.

A. T. Eggebrecht, S. L. Ferradal, A. Robichaux-Viehoever, M. S. Hassanpour, H. Dehghani, A. Z. Snyder, T. Hershey, and J. P. Culver, Nat. Photonics 8, 448 (2014).
[Crossref]

Foschum, F.

Gallant, P.

Gibson, A.

D. R. Leff, O. J. Warren, L. C. Enfield, A. Gibson, T. Athanasiou, D. K. Patten, J. Hebden, G. Z. Yang, and A. Darzi, Breast Cancer Res. Treat. 108, 9 (2008).
[Crossref]

Hassanpour, M. S.

A. T. Eggebrecht, S. L. Ferradal, A. Robichaux-Viehoever, M. S. Hassanpour, H. Dehghani, A. Z. Snyder, T. Hershey, and J. P. Culver, Nat. Photonics 8, 448 (2014).
[Crossref]

Hebden, J.

D. R. Leff, O. J. Warren, L. C. Enfield, A. Gibson, T. Athanasiou, D. K. Patten, J. Hebden, G. Z. Yang, and A. Darzi, Breast Cancer Res. Treat. 108, 9 (2008).
[Crossref]

Hershey, T.

A. T. Eggebrecht, S. L. Ferradal, A. Robichaux-Viehoever, M. S. Hassanpour, H. Dehghani, A. Z. Snyder, T. Hershey, and J. P. Culver, Nat. Photonics 8, 448 (2014).
[Crossref]

Ho, H.-C.

Huynh, N.

Intes, X.

Irles, E.

Joshi, A.

Kacprzak, M.

Kelly, K.

M. Duarte, M. Davenport, D. Takhar, J. Laska, T. S. T. Sun, K. Kelly, and R. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[Crossref]

Khoptyar, D.

Kienle, A.

Klauenberg, K.

Konecky, S. D.

Lancis, J.

Laska, J.

M. Duarte, M. Davenport, D. Takhar, J. Laska, T. S. T. Sun, K. Kelly, and R. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[Crossref]

Leclair, S.

Lee, K.

Leff, D. R.

D. R. Leff, O. J. Warren, L. C. Enfield, A. Gibson, T. Athanasiou, D. K. Patten, J. Hebden, G. Z. Yang, and A. Darzi, Breast Cancer Res. Treat. 108, 9 (2008).
[Crossref]

Lesage, F.

Liebert, A.

Lindner, C.

S. K. V. Sekar, A. D. Mora, I. Bargigia, E. Martinenghi, C. Lindner, P. Farzam, M. Pagliazzi, T. Durduran, P. Taroni, A. Pifferi, and A. Farina, IEEE J. Sel. Top. Quantum Electron. 22, 406 (2016).
[Crossref]

Markel, V.

Martelli, F.

Martinenghi, E.

S. K. V. Sekar, A. D. Mora, I. Bargigia, E. Martinenghi, C. Lindner, P. Farzam, M. Pagliazzi, T. Durduran, P. Taroni, A. Pifferi, and A. Farina, IEEE J. Sel. Top. Quantum Electron. 22, 406 (2016).
[Crossref]

Mazurenka, M.

Mermut, O.

Milej, D.

Mora, A. D.

S. K. V. Sekar, A. D. Mora, I. Bargigia, E. Martinenghi, C. Lindner, P. Farzam, M. Pagliazzi, T. Durduran, P. Taroni, A. Pifferi, and A. Farina, IEEE J. Sel. Top. Quantum Electron. 22, 406 (2016).
[Crossref]

Nissilä, I.

M. Schweiger, S. R. Arridge, and I. Nissilä, Phys. Med. Biol. 50, 2365 (2005).
[Crossref]

Noiseux, I.

Pagliazzi, M.

S. K. V. Sekar, A. D. Mora, I. Bargigia, E. Martinenghi, C. Lindner, P. Farzam, M. Pagliazzi, T. Durduran, P. Taroni, A. Pifferi, and A. Farina, IEEE J. Sel. Top. Quantum Electron. 22, 406 (2016).
[Crossref]

Panasyuk, G. Y.

Patten, D. K.

D. R. Leff, O. J. Warren, L. C. Enfield, A. Gibson, T. Athanasiou, D. K. Patten, J. Hebden, G. Z. Yang, and A. Darzi, Breast Cancer Res. Treat. 108, 9 (2008).
[Crossref]

Peyrin, F.

F. Rousset, N. Ducros, A. Farina, G. Valentini, C. D’Andrea, and F. Peyrin, IEEE Trans. Comput. Imaging 3, 36 (2017).

Pian, Q.

Pifferi, A.

Robichaux-Viehoever, A.

A. T. Eggebrecht, S. L. Ferradal, A. Robichaux-Viehoever, M. S. Hassanpour, H. Dehghani, A. Z. Snyder, T. Hershey, and J. P. Culver, Nat. Photonics 8, 448 (2014).
[Crossref]

Rousset, F.

F. Rousset, N. Ducros, A. Farina, G. Valentini, C. D’Andrea, and F. Peyrin, IEEE Trans. Comput. Imaging 3, 36 (2017).

Sawosz, P.

Schotland, J. C.

Schweiger, M.

M. Schweiger and S. Arridge, J. Biomed. Opt. 19, 040801 (2014).
[Crossref]

N. Ducros, A. Bassi, G. Valentini, M. Schweiger, S. Arridge, and C. D’Andrea, Opt. Lett. 36, 1377 (2011).
[Crossref]

M. Schweiger, S. R. Arridge, and I. Nissilä, Phys. Med. Biol. 50, 2365 (2005).
[Crossref]

S. R. Arridge and M. Schweiger, Appl. Opt. 34, 8026 (1995).
[Crossref]

Sekar, S. K. V.

S. K. V. Sekar, A. D. Mora, I. Bargigia, E. Martinenghi, C. Lindner, P. Farzam, M. Pagliazzi, T. Durduran, P. Taroni, A. Pifferi, and A. Farina, IEEE J. Sel. Top. Quantum Electron. 22, 406 (2016).
[Crossref]

Sevick-Muraca, E. M.

Snyder, A. Z.

A. T. Eggebrecht, S. L. Ferradal, A. Robichaux-Viehoever, M. S. Hassanpour, H. Dehghani, A. Z. Snyder, T. Hershey, and J. P. Culver, Nat. Photonics 8, 448 (2014).
[Crossref]

Soldevila, F.

Spinelli, L.

Subash, A. A.

Sun, T. S. T.

M. Duarte, M. Davenport, D. Takhar, J. Laska, T. S. T. Sun, K. Kelly, and R. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[Crossref]

Tajahuerce, E.

Takhar, D.

M. Duarte, M. Davenport, D. Takhar, J. Laska, T. S. T. Sun, K. Kelly, and R. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[Crossref]

Taroni, P.

S. K. V. Sekar, A. D. Mora, I. Bargigia, E. Martinenghi, C. Lindner, P. Farzam, M. Pagliazzi, T. Durduran, P. Taroni, A. Pifferi, and A. Farina, IEEE J. Sel. Top. Quantum Electron. 22, 406 (2016).
[Crossref]

Torricelli, A.

Tromberg, B. J.

Valentini, G.

F. Rousset, N. Ducros, A. Farina, G. Valentini, C. D’Andrea, and F. Peyrin, IEEE Trans. Comput. Imaging 3, 36 (2017).

N. Ducros, A. Bassi, G. Valentini, G. Canti, S. Arridge, and C. D’Andrea, J. Biomed. Opt. 18, 20503 (2013).
[Crossref]

N. Ducros, A. Bassi, G. Valentini, M. Schweiger, S. Arridge, and C. D’Andrea, Opt. Lett. 36, 1377 (2011).
[Crossref]

A. Bassi, C. D’Andrea, G. Valentini, R. Cubeddu, and S. Arridge, Opt. Lett. 33, 2836 (2008).
[Crossref]

Venugopal, V.

Wabnitz, H.

Warren, O. J.

D. R. Leff, O. J. Warren, L. C. Enfield, A. Gibson, T. Athanasiou, D. K. Patten, J. Hebden, G. Z. Yang, and A. Darzi, Breast Cancer Res. Treat. 108, 9 (2008).
[Crossref]

Weigel, U.

Yang, G. Z.

D. R. Leff, O. J. Warren, L. C. Enfield, A. Gibson, T. Athanasiou, D. K. Patten, J. Hebden, G. Z. Yang, and A. Darzi, Breast Cancer Res. Treat. 108, 9 (2008).
[Crossref]

Yao, R.

Yodh, A. G.

Zaccanti, G.

Zhang, E.

Zhao, L.

Zolek, N.

Am. J. Phys. (1)

T. Beer, Am. J. Phys. 49, 466 (1981).
[Crossref]

Appl. Opt. (1)

Biomed. Opt. Express (1)

Breast Cancer Res. Treat. (1)

D. R. Leff, O. J. Warren, L. C. Enfield, A. Gibson, T. Athanasiou, D. K. Patten, J. Hebden, G. Z. Yang, and A. Darzi, Breast Cancer Res. Treat. 108, 9 (2008).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (1)

S. K. V. Sekar, A. D. Mora, I. Bargigia, E. Martinenghi, C. Lindner, P. Farzam, M. Pagliazzi, T. Durduran, P. Taroni, A. Pifferi, and A. Farina, IEEE J. Sel. Top. Quantum Electron. 22, 406 (2016).
[Crossref]

IEEE Signal Process. Mag. (1)

M. Duarte, M. Davenport, D. Takhar, J. Laska, T. S. T. Sun, K. Kelly, and R. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[Crossref]

IEEE Trans. Comput. Imaging (1)

F. Rousset, N. Ducros, A. Farina, G. Valentini, C. D’Andrea, and F. Peyrin, IEEE Trans. Comput. Imaging 3, 36 (2017).

J. Biomed. Opt. (3)

M. Schweiger and S. Arridge, J. Biomed. Opt. 19, 040801 (2014).
[Crossref]

N. Ducros, A. Bassi, G. Valentini, G. Canti, S. Arridge, and C. D’Andrea, J. Biomed. Opt. 18, 20503 (2013).
[Crossref]

V. Venugopal and X. Intes, J. Biomed. Opt. 18, 036006 (2013).
[Crossref]

Nat. Photonics (1)

A. T. Eggebrecht, S. L. Ferradal, A. Robichaux-Viehoever, M. S. Hassanpour, H. Dehghani, A. Z. Snyder, T. Hershey, and J. P. Culver, Nat. Photonics 8, 448 (2014).
[Crossref]

Opt. Express (3)

Opt. Lett. (5)

Optica (1)

Phys. Med. Biol. (2)

S. R. Cherry, Phys. Med. Biol. 49, R13 (2004).
[Crossref]

M. Schweiger, S. R. Arridge, and I. Nissilä, Phys. Med. Biol. 50, 2365 (2005).
[Crossref]

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Figures (4)

Fig. 1.
Fig. 1. Experimental setup.

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Fig. 2.
Fig. 2. Comparison between CCD and SPC images outcoming from the homogeneous (first row) and heterogeneous (second row) phantoms. First column: image measured with the CCD. Second column: image measured by the SPC using 16 × 16 WH patterns for a single view. Third column: RMSE as a function of WH order for eight views.

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Fig. 3.
Fig. 3. Relative contrast for different rotation views (columns) in the case of modulated illumination (first row), modulated detection (second row), and CCD images by using uniform square illumination (third row). Images in rows 1 and 2 were obtained by a WH inverse transform.

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Fig. 4.
Fig. 4. Reconstruction of μ a using an early gate. Slices are shown from z = 19    mm (top of the cylinder) to z = 4    mm with a step of 1 mm. The z = 0    mm plane is at the middle of the cylinder. Panels (a), (c), and (e) show reconstructions (values are in mm − 1 ) for Exp 1, Exp 2, Exp 3, respectively. Panels (b), (d), and (f) show the normalized profiles of the absorption perturbations along line Γ connecting the centers of the two inclusions on the plane at z = 13    mm .

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Tables (1)

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Table 1. COM Coordinates in Millimeters

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Ψ ( x ) = 1 2 ∑ n [ y n − f n ( x ) f 0 n ( x ) ] 2 + τ R ( x ) ,

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