A. M. Bruckstein, D. L. Donoho, and M. Elad, “From sparse solutions of systems of equations to sparse modeling of signals and images,” SIAM Rev. 51, 34–81 (2009).

[CrossRef]

L. Sbaiz, F. Yang, E. Charbon, S. Susstrunk, and M. Vetterli, “The gigavision camera,” in “2009 IEEE International Conference on Acoustics, Speech and Signal Processing,” (2009), pp. 1093–1096.

M. F. Duarte, M. A. Davenport, D. Takbar, J. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling: Building simpler, smaller, and less-expensive digital cameras,” IEEE Signal Process. Mag. 25,83–91 (2008).

[CrossRef]

R. F. Marcia and R. M. Willett, “Compressive coded aperture superresolution image reconstruction,” in “IEEE International Conference on Acoustic, Speech and Signal Processes,” (2008), pp. 833–836.

F. Sebert, Y. M. Zou, and L. Ying, “Toeplitz block matrices in compressed sensing and their applications in imaging,” in “Proceedings of the 5th International Conference on Information Technology and Application in Biomedicine,” (2008), pp. 47–50.

P. T. Boufounos and R. G. Baraniuk, “1-bit compressive sensing,” in “42nd Annual Conference on Information Sciences and Systems,” (2008), pp. 16–21.

W. U. Bajwa, J. D. Haupt, G. M. Raz, S. J. Wright, and R. D. Nowak, “Toeplitz-structured compressed sensing matrices,” in “IEEE Workshop on Statistical Signal Processing Proceedings,” (2007), pp. 294–298.

J. Romberg, “Sensing by random convolution,” in “2nd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing,” (2007), pp. 137–140.

M. Unser, “Splines: A perfect fit for signal and image processing,” IEEE Signal Process. Mag. 16, 22–38 (1999).

[CrossRef]

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

[CrossRef]

S. P. Lloyd, “Least squares quantization in PCM,” IEEE Trans. Inf. Theory 28, 129–137 (1982).

[CrossRef]

J. Max, “Quantizing for minimum distortion,” IRE Trans. Inf. Theory IT-6, 7–12 (1960).

[CrossRef]

W. U. Bajwa, J. D. Haupt, G. M. Raz, S. J. Wright, and R. D. Nowak, “Toeplitz-structured compressed sensing matrices,” in “IEEE Workshop on Statistical Signal Processing Proceedings,” (2007), pp. 294–298.

P. T. Boufounos and R. G. Baraniuk, “1-bit compressive sensing,” in “42nd Annual Conference on Information Sciences and Systems,” (2008), pp. 16–21.

M. F. Duarte, M. A. Davenport, D. Takbar, J. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling: Building simpler, smaller, and less-expensive digital cameras,” IEEE Signal Process. Mag. 25,83–91 (2008).

[CrossRef]

M. Born and E. Wolf, Principles of Optics (Cambridge University Press, 1959), 7th ed.

P. T. Boufounos and R. G. Baraniuk, “1-bit compressive sensing,” in “42nd Annual Conference on Information Sciences and Systems,” (2008), pp. 16–21.

A. M. Bruckstein, D. L. Donoho, and M. Elad, “From sparse solutions of systems of equations to sparse modeling of signals and images,” SIAM Rev. 51, 34–81 (2009).

[CrossRef]

L. Sbaiz, F. Yang, E. Charbon, S. Susstrunk, and M. Vetterli, “The gigavision camera,” in “2009 IEEE International Conference on Acoustics, Speech and Signal Processing,” (2009), pp. 1093–1096.

M. F. Duarte, M. A. Davenport, D. Takbar, J. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling: Building simpler, smaller, and less-expensive digital cameras,” IEEE Signal Process. Mag. 25,83–91 (2008).

[CrossRef]

A. M. Bruckstein, D. L. Donoho, and M. Elad, “From sparse solutions of systems of equations to sparse modeling of signals and images,” SIAM Rev. 51, 34–81 (2009).

[CrossRef]

M. F. Duarte, M. A. Davenport, D. Takbar, J. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling: Building simpler, smaller, and less-expensive digital cameras,” IEEE Signal Process. Mag. 25,83–91 (2008).

[CrossRef]

A. M. Bruckstein, D. L. Donoho, and M. Elad, “From sparse solutions of systems of equations to sparse modeling of signals and images,” SIAM Rev. 51, 34–81 (2009).

[CrossRef]

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

[CrossRef]

J. W. Goodman, Introduction to Fourier Optics (McGraw Hill Higher Education, 1996), 2nd ed.

W. U. Bajwa, J. D. Haupt, G. M. Raz, S. J. Wright, and R. D. Nowak, “Toeplitz-structured compressed sensing matrices,” in “IEEE Workshop on Statistical Signal Processing Proceedings,” (2007), pp. 294–298.

A. Stern, Y. Rivenson, and B. Javidi, “Optically compressed image sensing using random aperture coding,” in “Proceedings of the SPIE - The International Society for Optical Engineering,” (2008), pp. 69750D–1–10.

M. F. Duarte, M. A. Davenport, D. Takbar, J. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling: Building simpler, smaller, and less-expensive digital cameras,” IEEE Signal Process. Mag. 25,83–91 (2008).

[CrossRef]

M. F. Duarte, M. A. Davenport, D. Takbar, J. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling: Building simpler, smaller, and less-expensive digital cameras,” IEEE Signal Process. Mag. 25,83–91 (2008).

[CrossRef]

S. P. Lloyd, “Least squares quantization in PCM,” IEEE Trans. Inf. Theory 28, 129–137 (1982).

[CrossRef]

R. F. Marcia and R. M. Willett, “Compressive coded aperture superresolution image reconstruction,” in “IEEE International Conference on Acoustic, Speech and Signal Processes,” (2008), pp. 833–836.

J. Max, “Quantizing for minimum distortion,” IRE Trans. Inf. Theory IT-6, 7–12 (1960).

[CrossRef]

W. Yin, S. Morgan, J. Yang, and Y. Zhang, “Practical compressive sensing with toeplitz and circulant matrices,” Tech. rep., CAAM, Rice University (2010).

W. U. Bajwa, J. D. Haupt, G. M. Raz, S. J. Wright, and R. D. Nowak, “Toeplitz-structured compressed sensing matrices,” in “IEEE Workshop on Statistical Signal Processing Proceedings,” (2007), pp. 294–298.

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

[CrossRef]

H. Rauhut, “Circulant and toeplitz matrices in compressed sensing,” in “Proceedings of SPARS’09,” (2009).

W. U. Bajwa, J. D. Haupt, G. M. Raz, S. J. Wright, and R. D. Nowak, “Toeplitz-structured compressed sensing matrices,” in “IEEE Workshop on Statistical Signal Processing Proceedings,” (2007), pp. 294–298.

A. Stern, Y. Rivenson, and B. Javidi, “Optically compressed image sensing using random aperture coding,” in “Proceedings of the SPIE - The International Society for Optical Engineering,” (2008), pp. 69750D–1–10.

R. T. Rockafellar, Convex Analysis (Princeton Mathematical Series) (Princeton University Press, 1970).

J. Romberg, “Sensing by random convolution,” in “2nd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing,” (2007), pp. 137–140.

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

[CrossRef]

L. Sbaiz, F. Yang, E. Charbon, S. Susstrunk, and M. Vetterli, “The gigavision camera,” in “2009 IEEE International Conference on Acoustics, Speech and Signal Processing,” (2009), pp. 1093–1096.

F. Sebert, Y. M. Zou, and L. Ying, “Toeplitz block matrices in compressed sensing and their applications in imaging,” in “Proceedings of the 5th International Conference on Information Technology and Application in Biomedicine,” (2008), pp. 47–50.

A. Stern, Y. Rivenson, and B. Javidi, “Optically compressed image sensing using random aperture coding,” in “Proceedings of the SPIE - The International Society for Optical Engineering,” (2008), pp. 69750D–1–10.

M. F. Duarte, M. A. Davenport, D. Takbar, J. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling: Building simpler, smaller, and less-expensive digital cameras,” IEEE Signal Process. Mag. 25,83–91 (2008).

[CrossRef]

L. Sbaiz, F. Yang, E. Charbon, S. Susstrunk, and M. Vetterli, “The gigavision camera,” in “2009 IEEE International Conference on Acoustics, Speech and Signal Processing,” (2009), pp. 1093–1096.

M. F. Duarte, M. A. Davenport, D. Takbar, J. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling: Building simpler, smaller, and less-expensive digital cameras,” IEEE Signal Process. Mag. 25,83–91 (2008).

[CrossRef]

M. Unser, “Splines: A perfect fit for signal and image processing,” IEEE Signal Process. Mag. 16, 22–38 (1999).

[CrossRef]

L. Sbaiz, F. Yang, E. Charbon, S. Susstrunk, and M. Vetterli, “The gigavision camera,” in “2009 IEEE International Conference on Acoustics, Speech and Signal Processing,” (2009), pp. 1093–1096.

R. F. Marcia and R. M. Willett, “Compressive coded aperture superresolution image reconstruction,” in “IEEE International Conference on Acoustic, Speech and Signal Processes,” (2008), pp. 833–836.

M. Born and E. Wolf, Principles of Optics (Cambridge University Press, 1959), 7th ed.

W. U. Bajwa, J. D. Haupt, G. M. Raz, S. J. Wright, and R. D. Nowak, “Toeplitz-structured compressed sensing matrices,” in “IEEE Workshop on Statistical Signal Processing Proceedings,” (2007), pp. 294–298.

L. Sbaiz, F. Yang, E. Charbon, S. Susstrunk, and M. Vetterli, “The gigavision camera,” in “2009 IEEE International Conference on Acoustics, Speech and Signal Processing,” (2009), pp. 1093–1096.

W. Yin, S. Morgan, J. Yang, and Y. Zhang, “Practical compressive sensing with toeplitz and circulant matrices,” Tech. rep., CAAM, Rice University (2010).

W. Yin, S. Morgan, J. Yang, and Y. Zhang, “Practical compressive sensing with toeplitz and circulant matrices,” Tech. rep., CAAM, Rice University (2010).

F. Sebert, Y. M. Zou, and L. Ying, “Toeplitz block matrices in compressed sensing and their applications in imaging,” in “Proceedings of the 5th International Conference on Information Technology and Application in Biomedicine,” (2008), pp. 47–50.

W. Yin, S. Morgan, J. Yang, and Y. Zhang, “Practical compressive sensing with toeplitz and circulant matrices,” Tech. rep., CAAM, Rice University (2010).

F. Sebert, Y. M. Zou, and L. Ying, “Toeplitz block matrices in compressed sensing and their applications in imaging,” in “Proceedings of the 5th International Conference on Information Technology and Application in Biomedicine,” (2008), pp. 47–50.

M. F. Duarte, M. A. Davenport, D. Takbar, J. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling: Building simpler, smaller, and less-expensive digital cameras,” IEEE Signal Process. Mag. 25,83–91 (2008).

[CrossRef]

M. Unser, “Splines: A perfect fit for signal and image processing,” IEEE Signal Process. Mag. 16, 22–38 (1999).

[CrossRef]

S. P. Lloyd, “Least squares quantization in PCM,” IEEE Trans. Inf. Theory 28, 129–137 (1982).

[CrossRef]

J. Max, “Quantizing for minimum distortion,” IRE Trans. Inf. Theory IT-6, 7–12 (1960).

[CrossRef]

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

[CrossRef]

A. M. Bruckstein, D. L. Donoho, and M. Elad, “From sparse solutions of systems of equations to sparse modeling of signals and images,” SIAM Rev. 51, 34–81 (2009).

[CrossRef]

L. Sbaiz, F. Yang, E. Charbon, S. Susstrunk, and M. Vetterli, “The gigavision camera,” in “2009 IEEE International Conference on Acoustics, Speech and Signal Processing,” (2009), pp. 1093–1096.

R. T. Rockafellar, Convex Analysis (Princeton Mathematical Series) (Princeton University Press, 1970).

A. Stern, Y. Rivenson, and B. Javidi, “Optically compressed image sensing using random aperture coding,” in “Proceedings of the SPIE - The International Society for Optical Engineering,” (2008), pp. 69750D–1–10.

J. Romberg, “Sensing by random convolution,” in “2nd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing,” (2007), pp. 137–140.

W. U. Bajwa, J. D. Haupt, G. M. Raz, S. J. Wright, and R. D. Nowak, “Toeplitz-structured compressed sensing matrices,” in “IEEE Workshop on Statistical Signal Processing Proceedings,” (2007), pp. 294–298.

H. Rauhut, “Circulant and toeplitz matrices in compressed sensing,” in “Proceedings of SPARS’09,” (2009).

W. Yin, S. Morgan, J. Yang, and Y. Zhang, “Practical compressive sensing with toeplitz and circulant matrices,” Tech. rep., CAAM, Rice University (2010).

J. W. Goodman, Introduction to Fourier Optics (McGraw Hill Higher Education, 1996), 2nd ed.

M. Born and E. Wolf, Principles of Optics (Cambridge University Press, 1959), 7th ed.

R. F. Marcia and R. M. Willett, “Compressive coded aperture superresolution image reconstruction,” in “IEEE International Conference on Acoustic, Speech and Signal Processes,” (2008), pp. 833–836.

F. Sebert, Y. M. Zou, and L. Ying, “Toeplitz block matrices in compressed sensing and their applications in imaging,” in “Proceedings of the 5th International Conference on Information Technology and Application in Biomedicine,” (2008), pp. 47–50.

P. T. Boufounos and R. G. Baraniuk, “1-bit compressive sensing,” in “42nd Annual Conference on Information Sciences and Systems,” (2008), pp. 16–21.