M. Levoy, R. Ng, A. Adams, M. Footer, and M. Horowitz, “Light field microscopy,” in ACM Trans. Graph. (Proc. SIGGRAPH) (2006), Vol. 25.

J. Ragan-Kelley, C. Barnes, A. Adams, S. Paris, F. Durand, and S. Amarasinghe, “Halide: a language and compiler for optimizing parallelism, locality, and recomputation in image processing pipelines,” in ACM SIGPLAN Notices (2013), Vol. 48, pp. 519–530.

M. V. Afonso, J. M. Bioucas-Dias, and M. A. T. Figueiredo, “Fast image recovery using variable splitting and constrained optimization,” IEEE Trans. Image Process. 19, 2345–2356 (2010).

[Crossref]

M. S. C. Almeida and M. Figueiredo, “Deconvolving images with unknown boundaries using the alternating direction method of multipliers,” IEEE Trans. Image Process. 22, 3074–3086 (2013).

[Crossref]

J. Ragan-Kelley, C. Barnes, A. Adams, S. Paris, F. Durand, and S. Amarasinghe, “Halide: a language and compiler for optimizing parallelism, locality, and recomputation in image processing pipelines,” in ACM SIGPLAN Notices (2013), Vol. 48, pp. 519–530.

N. C. Pégard, H.-Y. Liu, N. Antipa, M. Gerlock, H. Adesnik, and L. Waller, “Compressive light-field microscopy for 3D neural activity recording,” Optica 3, 517–524 (2016).

[Crossref]

N. Antipa, S. Necula, R. Ng, and L. Waller, “Single-shot diffuser-encoded light field imaging,” in IEEE International Conference on Computational Photography (ICCP) (2016), pp. 1–11.

G. Kuo, N. Antipa, R. Ng, and L. Waller, “DiffuserCam: diffuser-based lensless cameras,” in Computational Optical Sensing and Imaging (Optical Society of America, 2017), paper CTu3B–2.

M. S. Asif, A. Ayremlou, A. Veeraraghavan, R. Baraniuk, and A. Sankaranarayanan, “Flatcam: replacing lenses with masks and computation,” in IEEE International Conference on Computer Vision Workshop (ICCVW) (IEEE, 2015), pp. 663–666.

M. S. Asif, A. Ayremlou, A. Veeraraghavan, R. Baraniuk, and A. Sankaranarayanan, “Flatcam: replacing lenses with masks and computation,” in IEEE International Conference on Computer Vision Workshop (ICCVW) (IEEE, 2015), pp. 663–666.

M. S. Asif, A. Ayremlou, A. Veeraraghavan, R. Baraniuk, and A. Sankaranarayanan, “Flatcam: replacing lenses with masks and computation,” in IEEE International Conference on Computer Vision Workshop (ICCVW) (IEEE, 2015), pp. 663–666.

M. F. Duarte, M. A. Davenport, D. Takbar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).

[Crossref]

J. Ragan-Kelley, C. Barnes, A. Adams, S. Paris, F. Durand, and S. Amarasinghe, “Halide: a language and compiler for optimizing parallelism, locality, and recomputation in image processing pipelines,” in ACM SIGPLAN Notices (2013), Vol. 48, pp. 519–530.

A. Beck and M. Teboulle, “Fast gradient-based algorithms for constrained total variation image denoising and deblurring problems,” IEEE Trans. Image Process. 18, 2419–2434 (2009).

[Crossref]

M. V. Afonso, J. M. Bioucas-Dias, and M. A. T. Figueiredo, “Fast image recovery using variable splitting and constrained optimization,” IEEE Trans. Image Process. 19, 2345–2356 (2010).

[Crossref]

S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, “Distributed optimization and statistical learning via the alternating direction method of multipliers,” Found. Trends Mach. Learn. 3, 1–122 (2010).

[Crossref]

R. Ng, M. Levoy, M. Bredif, G. Duval, M. Horowitz, and P. Hanrahan, “Light field photography with a hand-held plenoptic camera,” , Stanford University, 2005), pp. 3418–3421.

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

[Crossref]

A. Liutkus, D. Martina, S. Popoff, G. Chardon, O. Katz, G. Lerosey, S. Gigan, L. Daudet, and I. Carron, “Imaging with nature: compressive imaging using a multiply scattering medium,” Sci. Rep. 4, 5552 (2014).

[Crossref]

A. Liutkus, D. Martina, S. Popoff, G. Chardon, O. Katz, G. Lerosey, S. Gigan, L. Daudet, and I. Carron, “Imaging with nature: compressive imaging using a multiply scattering medium,” Sci. Rep. 4, 5552 (2014).

[Crossref]

S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, “Distributed optimization and statistical learning via the alternating direction method of multipliers,” Found. Trends Mach. Learn. 3, 1–122 (2010).

[Crossref]

A. Liutkus, D. Martina, S. Popoff, G. Chardon, O. Katz, G. Lerosey, S. Gigan, L. Daudet, and I. Carron, “Imaging with nature: compressive imaging using a multiply scattering medium,” Sci. Rep. 4, 5552 (2014).

[Crossref]

M. F. Duarte, M. A. Davenport, D. Takbar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).

[Crossref]

W. Denk, J. Strickler, and W. Webb, “Two-photon laser scanning fluorescence microscopy,” Science 248, 73–76 (1990).

[Crossref]

M. F. Duarte, M. A. Davenport, D. Takbar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).

[Crossref]

J. Ragan-Kelley, C. Barnes, A. Adams, S. Paris, F. Durand, and S. Amarasinghe, “Halide: a language and compiler for optimizing parallelism, locality, and recomputation in image processing pipelines,” in ACM SIGPLAN Notices (2013), Vol. 48, pp. 519–530.

R. Ng, M. Levoy, M. Bredif, G. Duval, M. Horowitz, and P. Hanrahan, “Light field photography with a hand-held plenoptic camera,” , Stanford University, 2005), pp. 3418–3421.

S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, “Distributed optimization and statistical learning via the alternating direction method of multipliers,” Found. Trends Mach. Learn. 3, 1–122 (2010).

[Crossref]

E. Edrei and G. Scarcelli, “Memory-effect based deconvolution microscopy for super-resolution imaging through scattering media,” Sci. Rep. 6, 33558 (2016).

[Crossref]

P. R. Gill, J. Tringali, A. Schneider, S. Kabir, D. G. Stork, E. Erickson, and M. Kellam, “Thermal escher sensors: pixel-efficient lensless imagers based on tiled optics,” in Computational Optical Sensing and Imaging (Optical Society of America, 2017), paper CTu3B–3.

L. I. Rudin, S. Osher, and E. Fatemi, “Nonlinear total variation based noise removal algorithms,” Physica D 60, 259–268 (1992).

[Crossref]

H. Faulkner and J. Rodenburg, “Movable aperture lensless transmission microscopy: a novel phase retrieval algorithm,” Phys. Rev. Lett. 93, 023903 (2004).

[Crossref]

S. Feng, C. Kane, P. A. Lee, and A. D. Stone, “Correlations and fluctuations of coherent wave transmission through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).

[Crossref]

R. Fergus, A. Torralba, and W. T. Freeman, “Random lens imaging,” (Massachusetts Institute of Technology, 2006).

A. Matakos, S. Ramani, and J. A. Fessler, “Accelerated edge-preserving image restoration without boundary artifacts,” IEEE Trans. Image Process. 22, 2019–2029 (2013).

[Crossref]

M. S. C. Almeida and M. Figueiredo, “Deconvolving images with unknown boundaries using the alternating direction method of multipliers,” IEEE Trans. Image Process. 22, 3074–3086 (2013).

[Crossref]

M. V. Afonso, J. M. Bioucas-Dias, and M. A. T. Figueiredo, “Fast image recovery using variable splitting and constrained optimization,” IEEE Trans. Image Process. 19, 2345–2356 (2010).

[Crossref]

O. Katz, P. Heidmann, M. Fink, and S. Gigan, “Non-invasive single-shot imaging through scattering layers and around corners via speckle correlations,” Nat. Photonics 8, 784–790 (2014).

[Crossref]

M. Levoy, R. Ng, A. Adams, M. Footer, and M. Horowitz, “Light field microscopy,” in ACM Trans. Graph. (Proc. SIGGRAPH) (2006), Vol. 25.

R. Fergus, A. Torralba, and W. T. Freeman, “Random lens imaging,” (Massachusetts Institute of Technology, 2006).

A. Liutkus, D. Martina, S. Popoff, G. Chardon, O. Katz, G. Lerosey, S. Gigan, L. Daudet, and I. Carron, “Imaging with nature: compressive imaging using a multiply scattering medium,” Sci. Rep. 4, 5552 (2014).

[Crossref]

O. Katz, P. Heidmann, M. Fink, and S. Gigan, “Non-invasive single-shot imaging through scattering layers and around corners via speckle correlations,” Nat. Photonics 8, 784–790 (2014).

[Crossref]

D. G. Stork and P. R. Gill, “Optical, mathematical, and computational foundations of lensless ultra-miniature diffractive imagers and sensors,” Int. J. Adv. Syst. Meas. 7, 201–208 (2014).

P. R. Gill, J. Tringali, A. Schneider, S. Kabir, D. G. Stork, E. Erickson, and M. Kellam, “Thermal escher sensors: pixel-efficient lensless imagers based on tiled optics,” in Computational Optical Sensing and Imaging (Optical Society of America, 2017), paper CTu3B–3.

R. Ng, M. Levoy, M. Bredif, G. Duval, M. Horowitz, and P. Hanrahan, “Light field photography with a hand-held plenoptic camera,” , Stanford University, 2005), pp. 3418–3421.

O. Katz, P. Heidmann, M. Fink, and S. Gigan, “Non-invasive single-shot imaging through scattering layers and around corners via speckle correlations,” Nat. Photonics 8, 784–790 (2014).

[Crossref]

T. F. Holekamp, D. Turaga, and T. E. Holy, “Fast three-dimensional fluorescence imaging of activity in neural populations by objective-coupled planar illumination microscopy,” Neuron 57, 661–672 (2008).

[Crossref]

T. F. Holekamp, D. Turaga, and T. E. Holy, “Fast three-dimensional fluorescence imaging of activity in neural populations by objective-coupled planar illumination microscopy,” Neuron 57, 661–672 (2008).

[Crossref]

D. Brady, K. Choi, D. Marks, R. Horisaki, and S. Lim, “Compressive holography,” Opt. Express 17, 13040–13049 (2009).

[Crossref]

R. Horisaki, S. Irie, Y. Ogura, and J. Tanida, “Three-dimensional information acquisition using a compound imaging system,” Opt. Rev. 14, 347–350 (2007).

[Crossref]

R. Ng, M. Levoy, M. Bredif, G. Duval, M. Horowitz, and P. Hanrahan, “Light field photography with a hand-held plenoptic camera,” , Stanford University, 2005), pp. 3418–3421.

M. Levoy, R. Ng, A. Adams, M. Footer, and M. Horowitz, “Light field microscopy,” in ACM Trans. Graph. (Proc. SIGGRAPH) (2006), Vol. 25.

K. Tajima, T. Shimano, Y. Nakamura, M. Sao, and T. Hoshizawa, “Lensless light-field imaging with multi-phased Fresnel zone aperture,” in IEEE International Conference on Computational Photography (ICCP) (2017), pp. 76–82.

J. Tanida, T. Kumagai, K. Yamada, S. Miyatake, K. Ishida, T. Morimoto, N. Kondou, D. Miyazaki, and Y. Ichioka, “Thin observation module by bound optics: concept and experimental verification,” Appl. Opt. 40, 1806–1813 (2001).

[Crossref]

R. Horisaki, S. Irie, Y. Ogura, and J. Tanida, “Three-dimensional information acquisition using a compound imaging system,” Opt. Rev. 14, 347–350 (2007).

[Crossref]

J. Tanida, T. Kumagai, K. Yamada, S. Miyatake, K. Ishida, T. Morimoto, N. Kondou, D. Miyazaki, and Y. Ichioka, “Thin observation module by bound optics: concept and experimental verification,” Appl. Opt. 40, 1806–1813 (2001).

[Crossref]

P. R. Gill, J. Tringali, A. Schneider, S. Kabir, D. G. Stork, E. Erickson, and M. Kellam, “Thermal escher sensors: pixel-efficient lensless imagers based on tiled optics,” in Computational Optical Sensing and Imaging (Optical Society of America, 2017), paper CTu3B–3.

S. Feng, C. Kane, P. A. Lee, and A. D. Stone, “Correlations and fluctuations of coherent wave transmission through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).

[Crossref]

O. Katz, P. Heidmann, M. Fink, and S. Gigan, “Non-invasive single-shot imaging through scattering layers and around corners via speckle correlations,” Nat. Photonics 8, 784–790 (2014).

[Crossref]

A. Liutkus, D. Martina, S. Popoff, G. Chardon, O. Katz, G. Lerosey, S. Gigan, L. Daudet, and I. Carron, “Imaging with nature: compressive imaging using a multiply scattering medium,” Sci. Rep. 4, 5552 (2014).

[Crossref]

P. R. Gill, J. Tringali, A. Schneider, S. Kabir, D. G. Stork, E. Erickson, and M. Kellam, “Thermal escher sensors: pixel-efficient lensless imagers based on tiled optics,” in Computational Optical Sensing and Imaging (Optical Society of America, 2017), paper CTu3B–3.

M. F. Duarte, M. A. Davenport, D. Takbar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).

[Crossref]

J. Tanida, T. Kumagai, K. Yamada, S. Miyatake, K. Ishida, T. Morimoto, N. Kondou, D. Miyazaki, and Y. Ichioka, “Thin observation module by bound optics: concept and experimental verification,” Appl. Opt. 40, 1806–1813 (2001).

[Crossref]

F. Krahmer, S. Mendelson, and H. Rauhut, “Suprema of chaos processes and the restricted isometry property,” Commun. Pur. Appl. Math. 67, 1877–1904 (2014).

[Crossref]

J. Tanida, T. Kumagai, K. Yamada, S. Miyatake, K. Ishida, T. Morimoto, N. Kondou, D. Miyazaki, and Y. Ichioka, “Thin observation module by bound optics: concept and experimental verification,” Appl. Opt. 40, 1806–1813 (2001).

[Crossref]

G. Kuo, N. Antipa, R. Ng, and L. Waller, “DiffuserCam: diffuser-based lensless cameras,” in Computational Optical Sensing and Imaging (Optical Society of America, 2017), paper CTu3B–2.

M. F. Duarte, M. A. Davenport, D. Takbar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).

[Crossref]

K. Lee and Y. Park, “Exploiting the speckle-correlation scattering matrix for a compact reference-free holographic image sensor,” Nat. Commun. 7, 13359 (2016).

[Crossref]

S. Feng, C. Kane, P. A. Lee, and A. D. Stone, “Correlations and fluctuations of coherent wave transmission through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).

[Crossref]

A. Liutkus, D. Martina, S. Popoff, G. Chardon, O. Katz, G. Lerosey, S. Gigan, L. Daudet, and I. Carron, “Imaging with nature: compressive imaging using a multiply scattering medium,” Sci. Rep. 4, 5552 (2014).

[Crossref]

M. Broxton, L. Grosenick, S. Yang, N. Cohen, A. Andalman, K. Deisseroth, and M. Levoy, “Wave optics theory and 3-D deconvolution for the light field microscope,” Opt. Express 21, 25418–25439 (2013).

[Crossref]

M. Levoy, R. Ng, A. Adams, M. Footer, and M. Horowitz, “Light field microscopy,” in ACM Trans. Graph. (Proc. SIGGRAPH) (2006), Vol. 25.

R. Ng, M. Levoy, M. Bredif, G. Duval, M. Horowitz, and P. Hanrahan, “Light field photography with a hand-held plenoptic camera,” , Stanford University, 2005), pp. 3418–3421.

N. C. Pégard, H.-Y. Liu, N. Antipa, M. Gerlock, H. Adesnik, and L. Waller, “Compressive light-field microscopy for 3D neural activity recording,” Optica 3, 517–524 (2016).

[Crossref]

H.-Y. Liu, E. Jonas, L. Tian, J. Zhong, B. Recht, and L. Waller, “3D imaging in volumetric scattering media using phase-space measurements,” Opt. Express 23, 14461–14471 (2015).

[Crossref]

A. Liutkus, D. Martina, S. Popoff, G. Chardon, O. Katz, G. Lerosey, S. Gigan, L. Daudet, and I. Carron, “Imaging with nature: compressive imaging using a multiply scattering medium,” Sci. Rep. 4, 5552 (2014).

[Crossref]

A. Liutkus, D. Martina, S. Popoff, G. Chardon, O. Katz, G. Lerosey, S. Gigan, L. Daudet, and I. Carron, “Imaging with nature: compressive imaging using a multiply scattering medium,” Sci. Rep. 4, 5552 (2014).

[Crossref]

A. Matakos, S. Ramani, and J. A. Fessler, “Accelerated edge-preserving image restoration without boundary artifacts,” IEEE Trans. Image Process. 22, 2019–2029 (2013).

[Crossref]

F. Krahmer, S. Mendelson, and H. Rauhut, “Suprema of chaos processes and the restricted isometry property,” Commun. Pur. Appl. Math. 67, 1877–1904 (2014).

[Crossref]

J. Tanida, T. Kumagai, K. Yamada, S. Miyatake, K. Ishida, T. Morimoto, N. Kondou, D. Miyazaki, and Y. Ichioka, “Thin observation module by bound optics: concept and experimental verification,” Appl. Opt. 40, 1806–1813 (2001).

[Crossref]

J. Tanida, T. Kumagai, K. Yamada, S. Miyatake, K. Ishida, T. Morimoto, N. Kondou, D. Miyazaki, and Y. Ichioka, “Thin observation module by bound optics: concept and experimental verification,” Appl. Opt. 40, 1806–1813 (2001).

[Crossref]

J. Tanida, T. Kumagai, K. Yamada, S. Miyatake, K. Ishida, T. Morimoto, N. Kondou, D. Miyazaki, and Y. Ichioka, “Thin observation module by bound optics: concept and experimental verification,” Appl. Opt. 40, 1806–1813 (2001).

[Crossref]

A. Singh, D. Naik, G. Pedrini, M. Takeda, and W. Osten, “Exploiting scattering media for exploring 3D objects,” Light Sci. Appl. 6, e16219 (2017).

[Crossref]

A. Singh, D. Naik, G. Pedrini, M. Takeda, and W. Osten, “Looking through a diffuser and around an opaque surface: a holographic approach,” Opt. Express 22, 7694–7701 (2014).

[Crossref]

K. Tajima, T. Shimano, Y. Nakamura, M. Sao, and T. Hoshizawa, “Lensless light-field imaging with multi-phased Fresnel zone aperture,” in IEEE International Conference on Computational Photography (ICCP) (2017), pp. 76–82.

N. Antipa, S. Necula, R. Ng, and L. Waller, “Single-shot diffuser-encoded light field imaging,” in IEEE International Conference on Computational Photography (ICCP) (2016), pp. 1–11.

N. Antipa, S. Necula, R. Ng, and L. Waller, “Single-shot diffuser-encoded light field imaging,” in IEEE International Conference on Computational Photography (ICCP) (2016), pp. 1–11.

M. Levoy, R. Ng, A. Adams, M. Footer, and M. Horowitz, “Light field microscopy,” in ACM Trans. Graph. (Proc. SIGGRAPH) (2006), Vol. 25.

R. Ng, M. Levoy, M. Bredif, G. Duval, M. Horowitz, and P. Hanrahan, “Light field photography with a hand-held plenoptic camera,” , Stanford University, 2005), pp. 3418–3421.

G. Kuo, N. Antipa, R. Ng, and L. Waller, “DiffuserCam: diffuser-based lensless cameras,” in Computational Optical Sensing and Imaging (Optical Society of America, 2017), paper CTu3B–2.

J. Nocedal and S. J. Wright, Numerical Optimization (Springer, 2006).

R. Horisaki, S. Irie, Y. Ogura, and J. Tanida, “Three-dimensional information acquisition using a compound imaging system,” Opt. Rev. 14, 347–350 (2007).

[Crossref]

L. I. Rudin, S. Osher, and E. Fatemi, “Nonlinear total variation based noise removal algorithms,” Physica D 60, 259–268 (1992).

[Crossref]

A. Singh, G. Pedrini, M. Takeda, and W. Osten, “Scatter-plate microscope for lensless microscopy with diffraction limited resolution,” Sci. Rep. 7, 10687 (2017).

[Crossref]

A. Singh, D. Naik, G. Pedrini, M. Takeda, and W. Osten, “Exploiting scattering media for exploring 3D objects,” Light Sci. Appl. 6, e16219 (2017).

[Crossref]

A. Singh, D. Naik, G. Pedrini, M. Takeda, and W. Osten, “Looking through a diffuser and around an opaque surface: a holographic approach,” Opt. Express 22, 7694–7701 (2014).

[Crossref]

S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, “Distributed optimization and statistical learning via the alternating direction method of multipliers,” Found. Trends Mach. Learn. 3, 1–122 (2010).

[Crossref]

J. Ragan-Kelley, C. Barnes, A. Adams, S. Paris, F. Durand, and S. Amarasinghe, “Halide: a language and compiler for optimizing parallelism, locality, and recomputation in image processing pipelines,” in ACM SIGPLAN Notices (2013), Vol. 48, pp. 519–530.

K. Lee and Y. Park, “Exploiting the speckle-correlation scattering matrix for a compact reference-free holographic image sensor,” Nat. Commun. 7, 13359 (2016).

[Crossref]

A. Singh, D. Naik, G. Pedrini, M. Takeda, and W. Osten, “Exploiting scattering media for exploring 3D objects,” Light Sci. Appl. 6, e16219 (2017).

[Crossref]

A. Singh, G. Pedrini, M. Takeda, and W. Osten, “Scatter-plate microscope for lensless microscopy with diffraction limited resolution,” Sci. Rep. 7, 10687 (2017).

[Crossref]

A. Singh, D. Naik, G. Pedrini, M. Takeda, and W. Osten, “Looking through a diffuser and around an opaque surface: a holographic approach,” Opt. Express 22, 7694–7701 (2014).

[Crossref]

S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, “Distributed optimization and statistical learning via the alternating direction method of multipliers,” Found. Trends Mach. Learn. 3, 1–122 (2010).

[Crossref]

A. Stylianou and R. Pless, “Sparklegeometry: glitter imaging for 3D point tracking,” in Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition Workshops (2016), pp. 10–17.

A. Liutkus, D. Martina, S. Popoff, G. Chardon, O. Katz, G. Lerosey, S. Gigan, L. Daudet, and I. Carron, “Imaging with nature: compressive imaging using a multiply scattering medium,” Sci. Rep. 4, 5552 (2014).

[Crossref]

J. Ragan-Kelley, C. Barnes, A. Adams, S. Paris, F. Durand, and S. Amarasinghe, “Halide: a language and compiler for optimizing parallelism, locality, and recomputation in image processing pipelines,” in ACM SIGPLAN Notices (2013), Vol. 48, pp. 519–530.

A. Matakos, S. Ramani, and J. A. Fessler, “Accelerated edge-preserving image restoration without boundary artifacts,” IEEE Trans. Image Process. 22, 2019–2029 (2013).

[Crossref]

F. Krahmer, S. Mendelson, and H. Rauhut, “Suprema of chaos processes and the restricted isometry property,” Commun. Pur. Appl. Math. 67, 1877–1904 (2014).

[Crossref]

H. Faulkner and J. Rodenburg, “Movable aperture lensless transmission microscopy: a novel phase retrieval algorithm,” Phys. Rev. Lett. 93, 023903 (2004).

[Crossref]

L. I. Rudin, S. Osher, and E. Fatemi, “Nonlinear total variation based noise removal algorithms,” Physica D 60, 259–268 (1992).

[Crossref]

M. S. Asif, A. Ayremlou, A. Veeraraghavan, R. Baraniuk, and A. Sankaranarayanan, “Flatcam: replacing lenses with masks and computation,” in IEEE International Conference on Computer Vision Workshop (ICCVW) (IEEE, 2015), pp. 663–666.

K. Tajima, T. Shimano, Y. Nakamura, M. Sao, and T. Hoshizawa, “Lensless light-field imaging with multi-phased Fresnel zone aperture,” in IEEE International Conference on Computational Photography (ICCP) (2017), pp. 76–82.

E. Edrei and G. Scarcelli, “Memory-effect based deconvolution microscopy for super-resolution imaging through scattering media,” Sci. Rep. 6, 33558 (2016).

[Crossref]

P. R. Gill, J. Tringali, A. Schneider, S. Kabir, D. G. Stork, E. Erickson, and M. Kellam, “Thermal escher sensors: pixel-efficient lensless imagers based on tiled optics,” in Computational Optical Sensing and Imaging (Optical Society of America, 2017), paper CTu3B–3.

K. Tajima, T. Shimano, Y. Nakamura, M. Sao, and T. Hoshizawa, “Lensless light-field imaging with multi-phased Fresnel zone aperture,” in IEEE International Conference on Computational Photography (ICCP) (2017), pp. 76–82.

A. Singh, G. Pedrini, M. Takeda, and W. Osten, “Scatter-plate microscope for lensless microscopy with diffraction limited resolution,” Sci. Rep. 7, 10687 (2017).

[Crossref]

A. Singh, D. Naik, G. Pedrini, M. Takeda, and W. Osten, “Exploiting scattering media for exploring 3D objects,” Light Sci. Appl. 6, e16219 (2017).

[Crossref]

A. Singh, D. Naik, G. Pedrini, M. Takeda, and W. Osten, “Looking through a diffuser and around an opaque surface: a holographic approach,” Opt. Express 22, 7694–7701 (2014).

[Crossref]

S. Feng, C. Kane, P. A. Lee, and A. D. Stone, “Correlations and fluctuations of coherent wave transmission through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).

[Crossref]

D. G. Stork and P. R. Gill, “Optical, mathematical, and computational foundations of lensless ultra-miniature diffractive imagers and sensors,” Int. J. Adv. Syst. Meas. 7, 201–208 (2014).

P. R. Gill, J. Tringali, A. Schneider, S. Kabir, D. G. Stork, E. Erickson, and M. Kellam, “Thermal escher sensors: pixel-efficient lensless imagers based on tiled optics,” in Computational Optical Sensing and Imaging (Optical Society of America, 2017), paper CTu3B–3.

W. Denk, J. Strickler, and W. Webb, “Two-photon laser scanning fluorescence microscopy,” Science 248, 73–76 (1990).

[Crossref]

A. Stylianou and R. Pless, “Sparklegeometry: glitter imaging for 3D point tracking,” in Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition Workshops (2016), pp. 10–17.

M. F. Duarte, M. A. Davenport, D. Takbar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).

[Crossref]

K. Tajima, T. Shimano, Y. Nakamura, M. Sao, and T. Hoshizawa, “Lensless light-field imaging with multi-phased Fresnel zone aperture,” in IEEE International Conference on Computational Photography (ICCP) (2017), pp. 76–82.

M. F. Duarte, M. A. Davenport, D. Takbar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).

[Crossref]

A. Singh, G. Pedrini, M. Takeda, and W. Osten, “Scatter-plate microscope for lensless microscopy with diffraction limited resolution,” Sci. Rep. 7, 10687 (2017).

[Crossref]

A. Singh, D. Naik, G. Pedrini, M. Takeda, and W. Osten, “Exploiting scattering media for exploring 3D objects,” Light Sci. Appl. 6, e16219 (2017).

[Crossref]

A. Singh, D. Naik, G. Pedrini, M. Takeda, and W. Osten, “Looking through a diffuser and around an opaque surface: a holographic approach,” Opt. Express 22, 7694–7701 (2014).

[Crossref]

R. Horisaki, S. Irie, Y. Ogura, and J. Tanida, “Three-dimensional information acquisition using a compound imaging system,” Opt. Rev. 14, 347–350 (2007).

[Crossref]

J. Tanida, T. Kumagai, K. Yamada, S. Miyatake, K. Ishida, T. Morimoto, N. Kondou, D. Miyazaki, and Y. Ichioka, “Thin observation module by bound optics: concept and experimental verification,” Appl. Opt. 40, 1806–1813 (2001).

[Crossref]

A. Beck and M. Teboulle, “Fast gradient-based algorithms for constrained total variation image denoising and deblurring problems,” IEEE Trans. Image Process. 18, 2419–2434 (2009).

[Crossref]

R. Fergus, A. Torralba, and W. T. Freeman, “Random lens imaging,” (Massachusetts Institute of Technology, 2006).

P. R. Gill, J. Tringali, A. Schneider, S. Kabir, D. G. Stork, E. Erickson, and M. Kellam, “Thermal escher sensors: pixel-efficient lensless imagers based on tiled optics,” in Computational Optical Sensing and Imaging (Optical Society of America, 2017), paper CTu3B–3.

T. F. Holekamp, D. Turaga, and T. E. Holy, “Fast three-dimensional fluorescence imaging of activity in neural populations by objective-coupled planar illumination microscopy,” Neuron 57, 661–672 (2008).

[Crossref]

M. S. Asif, A. Ayremlou, A. Veeraraghavan, R. Baraniuk, and A. Sankaranarayanan, “Flatcam: replacing lenses with masks and computation,” in IEEE International Conference on Computer Vision Workshop (ICCVW) (IEEE, 2015), pp. 663–666.

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

[Crossref]

N. C. Pégard, H.-Y. Liu, N. Antipa, M. Gerlock, H. Adesnik, and L. Waller, “Compressive light-field microscopy for 3D neural activity recording,” Optica 3, 517–524 (2016).

[Crossref]

H.-Y. Liu, E. Jonas, L. Tian, J. Zhong, B. Recht, and L. Waller, “3D imaging in volumetric scattering media using phase-space measurements,” Opt. Express 23, 14461–14471 (2015).

[Crossref]

N. Antipa, S. Necula, R. Ng, and L. Waller, “Single-shot diffuser-encoded light field imaging,” in IEEE International Conference on Computational Photography (ICCP) (2016), pp. 1–11.

G. Kuo, N. Antipa, R. Ng, and L. Waller, “DiffuserCam: diffuser-based lensless cameras,” in Computational Optical Sensing and Imaging (Optical Society of America, 2017), paper CTu3B–2.

Y. Wang, J. Yang, W. Yin, and Y. Zhang, “A new alternating minimization algorithm for total variation image reconstruction,” SIAM J. Imag. Sci. 1, 248–272 (2008).

[Crossref]

W. Denk, J. Strickler, and W. Webb, “Two-photon laser scanning fluorescence microscopy,” Science 248, 73–76 (1990).

[Crossref]

J. Nocedal and S. J. Wright, Numerical Optimization (Springer, 2006).

J. Tanida, T. Kumagai, K. Yamada, S. Miyatake, K. Ishida, T. Morimoto, N. Kondou, D. Miyazaki, and Y. Ichioka, “Thin observation module by bound optics: concept and experimental verification,” Appl. Opt. 40, 1806–1813 (2001).

[Crossref]

Y. Wang, J. Yang, W. Yin, and Y. Zhang, “A new alternating minimization algorithm for total variation image reconstruction,” SIAM J. Imag. Sci. 1, 248–272 (2008).

[Crossref]

Y. Wang, J. Yang, W. Yin, and Y. Zhang, “A new alternating minimization algorithm for total variation image reconstruction,” SIAM J. Imag. Sci. 1, 248–272 (2008).

[Crossref]

Y. Wang, J. Yang, W. Yin, and Y. Zhang, “A new alternating minimization algorithm for total variation image reconstruction,” SIAM J. Imag. Sci. 1, 248–272 (2008).

[Crossref]

J. Tanida, T. Kumagai, K. Yamada, S. Miyatake, K. Ishida, T. Morimoto, N. Kondou, D. Miyazaki, and Y. Ichioka, “Thin observation module by bound optics: concept and experimental verification,” Appl. Opt. 40, 1806–1813 (2001).

[Crossref]

F. Krahmer, S. Mendelson, and H. Rauhut, “Suprema of chaos processes and the restricted isometry property,” Commun. Pur. Appl. Math. 67, 1877–1904 (2014).

[Crossref]

S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, “Distributed optimization and statistical learning via the alternating direction method of multipliers,” Found. Trends Mach. Learn. 3, 1–122 (2010).

[Crossref]

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

[Crossref]

M. F. Duarte, M. A. Davenport, D. Takbar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25(2), 83–91 (2008).

[Crossref]

M. S. C. Almeida and M. Figueiredo, “Deconvolving images with unknown boundaries using the alternating direction method of multipliers,” IEEE Trans. Image Process. 22, 3074–3086 (2013).

[Crossref]

A. Matakos, S. Ramani, and J. A. Fessler, “Accelerated edge-preserving image restoration without boundary artifacts,” IEEE Trans. Image Process. 22, 2019–2029 (2013).

[Crossref]

M. V. Afonso, J. M. Bioucas-Dias, and M. A. T. Figueiredo, “Fast image recovery using variable splitting and constrained optimization,” IEEE Trans. Image Process. 19, 2345–2356 (2010).

[Crossref]

A. Beck and M. Teboulle, “Fast gradient-based algorithms for constrained total variation image denoising and deblurring problems,” IEEE Trans. Image Process. 18, 2419–2434 (2009).

[Crossref]

D. G. Stork and P. R. Gill, “Optical, mathematical, and computational foundations of lensless ultra-miniature diffractive imagers and sensors,” Int. J. Adv. Syst. Meas. 7, 201–208 (2014).

A. Singh, D. Naik, G. Pedrini, M. Takeda, and W. Osten, “Exploiting scattering media for exploring 3D objects,” Light Sci. Appl. 6, e16219 (2017).

[Crossref]

K. Lee and Y. Park, “Exploiting the speckle-correlation scattering matrix for a compact reference-free holographic image sensor,” Nat. Commun. 7, 13359 (2016).

[Crossref]

O. Katz, P. Heidmann, M. Fink, and S. Gigan, “Non-invasive single-shot imaging through scattering layers and around corners via speckle correlations,” Nat. Photonics 8, 784–790 (2014).

[Crossref]

T. F. Holekamp, D. Turaga, and T. E. Holy, “Fast three-dimensional fluorescence imaging of activity in neural populations by objective-coupled planar illumination microscopy,” Neuron 57, 661–672 (2008).

[Crossref]

M. Broxton, L. Grosenick, S. Yang, N. Cohen, A. Andalman, K. Deisseroth, and M. Levoy, “Wave optics theory and 3-D deconvolution for the light field microscope,” Opt. Express 21, 25418–25439 (2013).

[Crossref]

H.-Y. Liu, E. Jonas, L. Tian, J. Zhong, B. Recht, and L. Waller, “3D imaging in volumetric scattering media using phase-space measurements,” Opt. Express 23, 14461–14471 (2015).

[Crossref]

W. Harm, C. Roider, A. Jesacher, S. Bernet, and M. Ritsch-Marte, “Lensless imaging through thin diffusive media,” Opt. Express 22, 22146–22156 (2014).

[Crossref]

W. Chi and N. George, “Optical imaging with phase-coded aperture,” Opt. Express 19, 4294–4300 (2011).

[Crossref]

A. Singh, D. Naik, G. Pedrini, M. Takeda, and W. Osten, “Looking through a diffuser and around an opaque surface: a holographic approach,” Opt. Express 22, 7694–7701 (2014).

[Crossref]

W. Bishara, T.-W. Su, A. F. Coskun, and A. Ozcan, “Lensfree on-chip microscopy over a wide field-of-view using pixel super-resolution,” Opt. Express 18, 11181–11191 (2010).

[Crossref]

D. Brady, K. Choi, D. Marks, R. Horisaki, and S. Lim, “Compressive holography,” Opt. Express 17, 13040–13049 (2009).

[Crossref]

R. Horisaki, S. Irie, Y. Ogura, and J. Tanida, “Three-dimensional information acquisition using a compound imaging system,” Opt. Rev. 14, 347–350 (2007).

[Crossref]

N. C. Pégard, H.-Y. Liu, N. Antipa, M. Gerlock, H. Adesnik, and L. Waller, “Compressive light-field microscopy for 3D neural activity recording,” Optica 3, 517–524 (2016).

[Crossref]

A. Sinha, J. Lee, S. Li, and G. Barbastathis, “Lensless computational imaging through deep learning,” Optica 4, 1117–1125 (2017).

[Crossref]

Y. Kashter, A. Vijayakumar, and J. Rosen, “Resolving images by blurring: superresolution method with a scattering mask between the observed objects and the hologram recorder,” Optica 4, 932–939 (2017).

[Crossref]

S. Feng, C. Kane, P. A. Lee, and A. D. Stone, “Correlations and fluctuations of coherent wave transmission through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).

[Crossref]

H. Faulkner and J. Rodenburg, “Movable aperture lensless transmission microscopy: a novel phase retrieval algorithm,” Phys. Rev. Lett. 93, 023903 (2004).

[Crossref]

L. I. Rudin, S. Osher, and E. Fatemi, “Nonlinear total variation based noise removal algorithms,” Physica D 60, 259–268 (1992).

[Crossref]

E. Edrei and G. Scarcelli, “Memory-effect based deconvolution microscopy for super-resolution imaging through scattering media,” Sci. Rep. 6, 33558 (2016).

[Crossref]

A. Liutkus, D. Martina, S. Popoff, G. Chardon, O. Katz, G. Lerosey, S. Gigan, L. Daudet, and I. Carron, “Imaging with nature: compressive imaging using a multiply scattering medium,” Sci. Rep. 4, 5552 (2014).

[Crossref]

A. Singh, G. Pedrini, M. Takeda, and W. Osten, “Scatter-plate microscope for lensless microscopy with diffraction limited resolution,” Sci. Rep. 7, 10687 (2017).

[Crossref]

W. Denk, J. Strickler, and W. Webb, “Two-photon laser scanning fluorescence microscopy,” Science 248, 73–76 (1990).

[Crossref]

Y. Wang, J. Yang, W. Yin, and Y. Zhang, “A new alternating minimization algorithm for total variation image reconstruction,” SIAM J. Imag. Sci. 1, 248–272 (2008).

[Crossref]

N. Antipa, G. Kuo, R. Heckel, B. Mildenhall, E. Bostan, R. Ng, and L. Waller, “DiffuserCam,” http://www.laurawaller.com/research/diffusercam/ (2017). Accessed: 2017-11-17.

J. Ragan-Kelley, C. Barnes, A. Adams, S. Paris, F. Durand, and S. Amarasinghe, “Halide: a language and compiler for optimizing parallelism, locality, and recomputation in image processing pipelines,” in ACM SIGPLAN Notices (2013), Vol. 48, pp. 519–530.

G. Kuo, N. Antipa, R. Ng, and L. Waller, “DiffuserCam: diffuser-based lensless cameras,” in Computational Optical Sensing and Imaging (Optical Society of America, 2017), paper CTu3B–2.

N. Antipa, S. Necula, R. Ng, and L. Waller, “Single-shot diffuser-encoded light field imaging,” in IEEE International Conference on Computational Photography (ICCP) (2016), pp. 1–11.

J. Nocedal and S. J. Wright, Numerical Optimization (Springer, 2006).

K. Tajima, T. Shimano, Y. Nakamura, M. Sao, and T. Hoshizawa, “Lensless light-field imaging with multi-phased Fresnel zone aperture,” in IEEE International Conference on Computational Photography (ICCP) (2017), pp. 76–82.

M. Levoy, R. Ng, A. Adams, M. Footer, and M. Horowitz, “Light field microscopy,” in ACM Trans. Graph. (Proc. SIGGRAPH) (2006), Vol. 25.

R. Ng, M. Levoy, M. Bredif, G. Duval, M. Horowitz, and P. Hanrahan, “Light field photography with a hand-held plenoptic camera,” , Stanford University, 2005), pp. 3418–3421.

M. S. Asif, A. Ayremlou, A. Veeraraghavan, R. Baraniuk, and A. Sankaranarayanan, “Flatcam: replacing lenses with masks and computation,” in IEEE International Conference on Computer Vision Workshop (ICCVW) (IEEE, 2015), pp. 663–666.

P. R. Gill, J. Tringali, A. Schneider, S. Kabir, D. G. Stork, E. Erickson, and M. Kellam, “Thermal escher sensors: pixel-efficient lensless imagers based on tiled optics,” in Computational Optical Sensing and Imaging (Optical Society of America, 2017), paper CTu3B–3.

R. Fergus, A. Torralba, and W. T. Freeman, “Random lens imaging,” (Massachusetts Institute of Technology, 2006).

A. Stylianou and R. Pless, “Sparklegeometry: glitter imaging for 3D point tracking,” in Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition Workshops (2016), pp. 10–17.