Q. Xue, Z. Wang, J. Huang, and J. Gao, “The elimination of the errors in the calibration image of 3D measurement with structured light,” Proc. SPIE 8430, 84300N (2012).

[Crossref]

S. M. Zhao, J. Leach, L. Y. Gong, J. Ding, and B. Y. Zheng, “Aberration corrections for free-space optical communications in atmosphere turbulence using orbital angular momentum states,” Opt. Express 20, 452–461 (2012).

[Crossref]

V. Katkovnik and J. Astola, “Phase retrieval via spatial light modulator phase modulation in 4f optical setup: numerical inverse imaging with sparse regularization for phase and amplitude,” J. Opt. Soc. Am. A 29, 105–116 (2012).

[Crossref]

A. Migukin, V. Katkovnik, and J. Astola, “Advanced multi-plane phase retrieval using graphic processing unit: augmented Lagrangian technique with sparse regularization,” Proc. SPIE 8429, 84291N (2012).

A. Danielyan, V. Katkovnik, and K. Egiazarian, “BM3D frames and variational image deblurring,” IEEE Trans. Image Process. 21, 1715–1728 (2012).

A. Migukin, V. Katkovnik, and J. Astola, “Wave field reconstruction from multiple plane intensity-only data: augmented Lagrangian algorithm,” J. Opt. Soc. Am. A 28, 993–1002 (2011).

[Crossref]

M. Agour, C. Falldorf, C. von Kopylow, and R. B. Bregmenn, “The effect of misalignment in phase retrieval based on a spatial light modulator,” Proc. SPIE 8082, 80820M (2011).

[Crossref]

M. Agour, C. Falldorf, C. v. Kopylow, and R. B. Bergmann, “Automated compensation of misalignment in phase retrieval based on a spatial light modulator,” Appl. Opt. 50, 4779–4787 (2011).

[Crossref]

M. Agour, C. Falldorf, and C. von Kopylow, “Digital pre-filtering approach to improve optically reconstructed wavefields in opto-electronic holography,” J. Opt. 12, 055401(2010).

[Crossref]

C. Falldorf, M. Agour, C. v. Kopylow, and R. B. Bergmann, “Phase retrieval by means of a spatial light modulator in the Fourier domain of an imaging system,” Appl. Opt. 49, 1826–1830 (2010).

[Crossref]

T. E. Gureyev, “Composite techniques for phase retrieval in the Fresnel region,” Opt. Commun. 220, 49–58 (2003).

[Crossref]

P. Ferraro, S. D. Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, and G. Pierattini, “Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging,” Appl. Opt. 42, 1938–1946 (2003).

[Crossref]

G. Pedrini, S. Schedin, and H. J. Tiziani, “Aberration compensation in digital holographic reconstruction of microscopic objects,” J. Mod. Opt. 48, 1035–1041 (2001).

S. Grilli, P. Ferraro, S. D. Nicola, A. Finizio, G. Pierattini, and R. Meucci, “Whole optical wavefields reconstruction by digital holography,” Opt. Express 9, 294–302 (2001).

[Crossref]

V. Arrizon, E. Carreon, and M. Testorf, “Implementation of Fourier array illuminators using pixelated SLM: efficiency limitations,” Opt. Commun. 16, 207–213 (1999).

[Crossref]

B. Gu and G. Yang, “On the phase retrieval problem in optical and electronic microscopy,” Acta Opt. Sin. 1, 517–522(1981).

J. R. Fienup, “Iterative method applied to image reconstruction and to computer generated holograms,” Opt. Eng. 19, 297–305 (1980).

N. Otsu, “A threshold selection method from gray-level histograms,” IEEE Trans. Syst. Man Cybernet. 9, 62–66 (1979).

[Crossref]

D. L. Misell, “A method for the solution of the phase problem in electron microscopy,” J. Phys. D 6, L6–L9 (1973).

[Crossref]

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

M. Agour, C. Falldorf, C. von Kopylow, and R. B. Bregmenn, “The effect of misalignment in phase retrieval based on a spatial light modulator,” Proc. SPIE 8082, 80820M (2011).

[Crossref]

M. Agour, C. Falldorf, C. v. Kopylow, and R. B. Bergmann, “Automated compensation of misalignment in phase retrieval based on a spatial light modulator,” Appl. Opt. 50, 4779–4787 (2011).

[Crossref]

C. Falldorf, M. Agour, C. v. Kopylow, and R. B. Bergmann, “Phase retrieval by means of a spatial light modulator in the Fourier domain of an imaging system,” Appl. Opt. 49, 1826–1830 (2010).

[Crossref]

M. Agour, C. Falldorf, and C. von Kopylow, “Digital pre-filtering approach to improve optically reconstructed wavefields in opto-electronic holography,” J. Opt. 12, 055401(2010).

[Crossref]

V. Arrizon, E. Carreon, and M. Testorf, “Implementation of Fourier array illuminators using pixelated SLM: efficiency limitations,” Opt. Commun. 16, 207–213 (1999).

[Crossref]

A. Migukin, V. Katkovnik, and J. Astola, “Advanced multi-plane phase retrieval using graphic processing unit: augmented Lagrangian technique with sparse regularization,” Proc. SPIE 8429, 84291N (2012).

V. Katkovnik and J. Astola, “Phase retrieval via spatial light modulator phase modulation in 4f optical setup: numerical inverse imaging with sparse regularization for phase and amplitude,” J. Opt. Soc. Am. A 29, 105–116 (2012).

[Crossref]

A. Migukin, V. Katkovnik, and J. Astola, “Wave field reconstruction from multiple plane intensity-only data: augmented Lagrangian algorithm,” J. Opt. Soc. Am. A 28, 993–1002 (2011).

[Crossref]

A. Migukin, V. Katkovnik, and J. Astola, “Advanced phase retrieval: maximum likelihood technique with sparse regularization of phase and amplitude,” arXiv:1108.3251v1.

M. Agour, C. Falldorf, C. v. Kopylow, and R. B. Bergmann, “Automated compensation of misalignment in phase retrieval based on a spatial light modulator,” Appl. Opt. 50, 4779–4787 (2011).

[Crossref]

C. Falldorf, M. Agour, C. v. Kopylow, and R. B. Bergmann, “Phase retrieval by means of a spatial light modulator in the Fourier domain of an imaging system,” Appl. Opt. 49, 1826–1830 (2010).

[Crossref]

M. Agour, C. Falldorf, C. von Kopylow, and R. B. Bregmenn, “The effect of misalignment in phase retrieval based on a spatial light modulator,” Proc. SPIE 8082, 80820M (2011).

[Crossref]

V. Arrizon, E. Carreon, and M. Testorf, “Implementation of Fourier array illuminators using pixelated SLM: efficiency limitations,” Opt. Commun. 16, 207–213 (1999).

[Crossref]

A. Danielyan, V. Katkovnik, and K. Egiazarian, “BM3D frames and variational image deblurring,” IEEE Trans. Image Process. 21, 1715–1728 (2012).

V. Katkovnik, A. Danielyan, and K. Egiazarian, “Decoupled inverse and denoising for image deblurring: variational BM3D-frame technique,” in Proceedings of the International Conference on Image Processing (ICIP) (IEEE, 2011), pp. 3514–3517.

A. Danielyan, V. Katkovnik, and K. Egiazarian, “Image deblurring by augmented Lagrangian with BM3D frame prior,” presented at Workshop on Information Theoretic Methods in Science and Engineering (WITMSE), Tampere, Finland, 16–18 August 2010.

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

[Crossref]

A. Danielyan, V. Katkovnik, and K. Egiazarian, “BM3D frames and variational image deblurring,” IEEE Trans. Image Process. 21, 1715–1728 (2012).

V. Katkovnik, A. Danielyan, and K. Egiazarian, “Decoupled inverse and denoising for image deblurring: variational BM3D-frame technique,” in Proceedings of the International Conference on Image Processing (ICIP) (IEEE, 2011), pp. 3514–3517.

A. Danielyan, V. Katkovnik, and K. Egiazarian, “Image deblurring by augmented Lagrangian with BM3D frame prior,” presented at Workshop on Information Theoretic Methods in Science and Engineering (WITMSE), Tampere, Finland, 16–18 August 2010.

M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing (Springer, 2010).

M. Agour, C. Falldorf, C. von Kopylow, and R. B. Bregmenn, “The effect of misalignment in phase retrieval based on a spatial light modulator,” Proc. SPIE 8082, 80820M (2011).

[Crossref]

M. Agour, C. Falldorf, C. v. Kopylow, and R. B. Bergmann, “Automated compensation of misalignment in phase retrieval based on a spatial light modulator,” Appl. Opt. 50, 4779–4787 (2011).

[Crossref]

C. Falldorf, M. Agour, C. v. Kopylow, and R. B. Bergmann, “Phase retrieval by means of a spatial light modulator in the Fourier domain of an imaging system,” Appl. Opt. 49, 1826–1830 (2010).

[Crossref]

M. Agour, C. Falldorf, and C. von Kopylow, “Digital pre-filtering approach to improve optically reconstructed wavefields in opto-electronic holography,” J. Opt. 12, 055401(2010).

[Crossref]

P. Ferraro, S. D. Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, and G. Pierattini, “Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging,” Appl. Opt. 42, 1938–1946 (2003).

[Crossref]

S. Grilli, P. Ferraro, S. D. Nicola, A. Finizio, G. Pierattini, and R. Meucci, “Whole optical wavefields reconstruction by digital holography,” Opt. Express 9, 294–302 (2001).

[Crossref]

P. Ferraro, S. D. Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, and G. Pierattini, “Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging,” Appl. Opt. 42, 1938–1946 (2003).

[Crossref]

S. Grilli, P. Ferraro, S. D. Nicola, A. Finizio, G. Pierattini, and R. Meucci, “Whole optical wavefields reconstruction by digital holography,” Opt. Express 9, 294–302 (2001).

[Crossref]

Q. Xue, Z. Wang, J. Huang, and J. Gao, “The elimination of the errors in the calibration image of 3D measurement with structured light,” Proc. SPIE 8430, 84300N (2012).

[Crossref]

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

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

P. Ferraro, S. D. Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, and G. Pierattini, “Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging,” Appl. Opt. 42, 1938–1946 (2003).

[Crossref]

S. Grilli, P. Ferraro, S. D. Nicola, A. Finizio, G. Pierattini, and R. Meucci, “Whole optical wavefields reconstruction by digital holography,” Opt. Express 9, 294–302 (2001).

[Crossref]

G. Yang, B. Dong, B. Gu, J. Zhuang, and O. K. Ersoy, “Gerchberg–Saxton and Yang–Gu algorithms for phase retrieval in a nonunitary transform system: a comparison,” Appl. Opt. 33, 209–218 (1994).

[Crossref]

B. Gu and G. Yang, “On the phase retrieval problem in optical and electronic microscopy,” Acta Opt. Sin. 1, 517–522(1981).

T. E. Gureyev, “Composite techniques for phase retrieval in the Fresnel region,” Opt. Commun. 220, 49–58 (2003).

[Crossref]

D. Han, K. Kornelson, D. Larson, and E. Weber, Frames for Undergraduates (Student Mathematical Library, AMS, 2007).

Q. Xue, Z. Wang, J. Huang, and J. Gao, “The elimination of the errors in the calibration image of 3D measurement with structured light,” Proc. SPIE 8430, 84300N (2012).

[Crossref]

A. Migukin, V. Katkovnik, and J. Astola, “Advanced multi-plane phase retrieval using graphic processing unit: augmented Lagrangian technique with sparse regularization,” Proc. SPIE 8429, 84291N (2012).

A. Danielyan, V. Katkovnik, and K. Egiazarian, “BM3D frames and variational image deblurring,” IEEE Trans. Image Process. 21, 1715–1728 (2012).

V. Katkovnik and J. Astola, “Phase retrieval via spatial light modulator phase modulation in 4f optical setup: numerical inverse imaging with sparse regularization for phase and amplitude,” J. Opt. Soc. Am. A 29, 105–116 (2012).

[Crossref]

A. Migukin, V. Katkovnik, and J. Astola, “Wave field reconstruction from multiple plane intensity-only data: augmented Lagrangian algorithm,” J. Opt. Soc. Am. A 28, 993–1002 (2011).

[Crossref]

A. Danielyan, V. Katkovnik, and K. Egiazarian, “Image deblurring by augmented Lagrangian with BM3D frame prior,” presented at Workshop on Information Theoretic Methods in Science and Engineering (WITMSE), Tampere, Finland, 16–18 August 2010.

V. Katkovnik, A. Danielyan, and K. Egiazarian, “Decoupled inverse and denoising for image deblurring: variational BM3D-frame technique,” in Proceedings of the International Conference on Image Processing (ICIP) (IEEE, 2011), pp. 3514–3517.

A. Migukin, V. Katkovnik, and J. Astola, “Advanced phase retrieval: maximum likelihood technique with sparse regularization of phase and amplitude,” arXiv:1108.3251v1.

M. Agour, C. Falldorf, C. v. Kopylow, and R. B. Bergmann, “Automated compensation of misalignment in phase retrieval based on a spatial light modulator,” Appl. Opt. 50, 4779–4787 (2011).

[Crossref]

C. Falldorf, M. Agour, C. v. Kopylow, and R. B. Bergmann, “Phase retrieval by means of a spatial light modulator in the Fourier domain of an imaging system,” Appl. Opt. 49, 1826–1830 (2010).

[Crossref]

D. Han, K. Kornelson, D. Larson, and E. Weber, Frames for Undergraduates (Student Mathematical Library, AMS, 2007).

Th. Kreis, Handbook of Holographic Interferometry: Optical and Digital Methods (Wiley-VCH, 2005).

D. Han, K. Kornelson, D. Larson, and E. Weber, Frames for Undergraduates (Student Mathematical Library, AMS, 2007).

J. R. Magnus and H. Neudecker, Matrix Differential Calculus with Applications in Statistics and Econometrics, 2nd ed.(Wiley, 1999).

A. Migukin, V. Katkovnik, and J. Astola, “Advanced multi-plane phase retrieval using graphic processing unit: augmented Lagrangian technique with sparse regularization,” Proc. SPIE 8429, 84291N (2012).

A. Migukin, V. Katkovnik, and J. Astola, “Wave field reconstruction from multiple plane intensity-only data: augmented Lagrangian algorithm,” J. Opt. Soc. Am. A 28, 993–1002 (2011).

[Crossref]

A. Migukin, V. Katkovnik, and J. Astola, “Advanced phase retrieval: maximum likelihood technique with sparse regularization of phase and amplitude,” arXiv:1108.3251v1.

D. L. Misell, “A method for the solution of the phase problem in electron microscopy,” J. Phys. D 6, L6–L9 (1973).

[Crossref]

J. R. Magnus and H. Neudecker, Matrix Differential Calculus with Applications in Statistics and Econometrics, 2nd ed.(Wiley, 1999).

P. Ferraro, S. D. Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, and G. Pierattini, “Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging,” Appl. Opt. 42, 1938–1946 (2003).

[Crossref]

S. Grilli, P. Ferraro, S. D. Nicola, A. Finizio, G. Pierattini, and R. Meucci, “Whole optical wavefields reconstruction by digital holography,” Opt. Express 9, 294–302 (2001).

[Crossref]

P. Almoro, G. Pedrini, and W. Osten, “Complete wavefront reconstruction using sequential intensity measurements of a volume speckle field,” Appl. Opt. 45, 8596–8605 (2006).

[Crossref]

G. Pedrini, W. Osten, and Y. Zhang, “Wave-front reconstruction from a sequence of interferograms recorded at different planes,” Opt. Lett. 30, 833–835 (2005).

[Crossref]

N. Otsu, “A threshold selection method from gray-level histograms,” IEEE Trans. Syst. Man Cybernet. 9, 62–66 (1979).

[Crossref]

P. Almoro, G. Pedrini, and W. Osten, “Complete wavefront reconstruction using sequential intensity measurements of a volume speckle field,” Appl. Opt. 45, 8596–8605 (2006).

[Crossref]

G. Pedrini, W. Osten, and Y. Zhang, “Wave-front reconstruction from a sequence of interferograms recorded at different planes,” Opt. Lett. 30, 833–835 (2005).

[Crossref]

G. Pedrini, S. Schedin, and H. J. Tiziani, “Aberration compensation in digital holographic reconstruction of microscopic objects,” J. Mod. Opt. 48, 1035–1041 (2001).

P. Ferraro, S. D. Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, and G. Pierattini, “Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging,” Appl. Opt. 42, 1938–1946 (2003).

[Crossref]

S. Grilli, P. Ferraro, S. D. Nicola, A. Finizio, G. Pierattini, and R. Meucci, “Whole optical wavefields reconstruction by digital holography,” Opt. Express 9, 294–302 (2001).

[Crossref]

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

G. Pedrini, S. Schedin, and H. J. Tiziani, “Aberration compensation in digital holographic reconstruction of microscopic objects,” J. Mod. Opt. 48, 1035–1041 (2001).

V. Arrizon, E. Carreon, and M. Testorf, “Implementation of Fourier array illuminators using pixelated SLM: efficiency limitations,” Opt. Commun. 16, 207–213 (1999).

[Crossref]

G. Pedrini, S. Schedin, and H. J. Tiziani, “Aberration compensation in digital holographic reconstruction of microscopic objects,” J. Mod. Opt. 48, 1035–1041 (2001).

M. Agour, C. Falldorf, C. von Kopylow, and R. B. Bregmenn, “The effect of misalignment in phase retrieval based on a spatial light modulator,” Proc. SPIE 8082, 80820M (2011).

[Crossref]

M. Agour, C. Falldorf, and C. von Kopylow, “Digital pre-filtering approach to improve optically reconstructed wavefields in opto-electronic holography,” J. Opt. 12, 055401(2010).

[Crossref]

Q. Xue, Z. Wang, J. Huang, and J. Gao, “The elimination of the errors in the calibration image of 3D measurement with structured light,” Proc. SPIE 8430, 84300N (2012).

[Crossref]

D. Han, K. Kornelson, D. Larson, and E. Weber, Frames for Undergraduates (Student Mathematical Library, AMS, 2007).

Q. Xue, Z. Wang, J. Huang, and J. Gao, “The elimination of the errors in the calibration image of 3D measurement with structured light,” Proc. SPIE 8430, 84300N (2012).

[Crossref]

G. Yang, B. Dong, B. Gu, J. Zhuang, and O. K. Ersoy, “Gerchberg–Saxton and Yang–Gu algorithms for phase retrieval in a nonunitary transform system: a comparison,” Appl. Opt. 33, 209–218 (1994).

[Crossref]

B. Gu and G. Yang, “On the phase retrieval problem in optical and electronic microscopy,” Acta Opt. Sin. 1, 517–522(1981).

B. Gu and G. Yang, “On the phase retrieval problem in optical and electronic microscopy,” Acta Opt. Sin. 1, 517–522(1981).

G. Yang, B. Dong, B. Gu, J. Zhuang, and O. K. Ersoy, “Gerchberg–Saxton and Yang–Gu algorithms for phase retrieval in a nonunitary transform system: a comparison,” Appl. Opt. 33, 209–218 (1994).

[Crossref]

J. R. Fienup, “Phase retrieval algorithms: a comparison,” Appl. Opt. 21, 2758–2769 (1982).

[Crossref]

P. Almoro, G. Pedrini, and W. Osten, “Complete wavefront reconstruction using sequential intensity measurements of a volume speckle field,” Appl. Opt. 45, 8596–8605 (2006).

[Crossref]

E. Cuche, P. Marquet, and C. Depeursinge, “Spatial filtering for zero-order and twin-image elimination in digital off-axis holography,” Appl. Opt. 39, 4070–4075 (2000).

[Crossref]

P. Ferraro, S. D. Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, and G. Pierattini, “Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging,” Appl. Opt. 42, 1938–1946 (2003).

[Crossref]

C. Falldorf, M. Agour, C. v. Kopylow, and R. B. Bergmann, “Phase retrieval by means of a spatial light modulator in the Fourier domain of an imaging system,” Appl. Opt. 49, 1826–1830 (2010).

[Crossref]

M. Agour, C. Falldorf, C. v. Kopylow, and R. B. Bergmann, “Automated compensation of misalignment in phase retrieval based on a spatial light modulator,” Appl. Opt. 50, 4779–4787 (2011).

[Crossref]

A. Danielyan, V. Katkovnik, and K. Egiazarian, “BM3D frames and variational image deblurring,” IEEE Trans. Image Process. 21, 1715–1728 (2012).

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

[Crossref]

N. Otsu, “A threshold selection method from gray-level histograms,” IEEE Trans. Syst. Man Cybernet. 9, 62–66 (1979).

[Crossref]

G. Pedrini, S. Schedin, and H. J. Tiziani, “Aberration compensation in digital holographic reconstruction of microscopic objects,” J. Mod. Opt. 48, 1035–1041 (2001).

M. Agour, C. Falldorf, and C. von Kopylow, “Digital pre-filtering approach to improve optically reconstructed wavefields in opto-electronic holography,” J. Opt. 12, 055401(2010).

[Crossref]

V. Yu. Ivanov, V. P. Sivokon, and M. A. Vorontsov, “Phase retrieval from a set of intensity measurements: theory and experiment,” J. Opt. Soc. Am. A 9, 1515–1524 (1992).

[Crossref]

A. Migukin, V. Katkovnik, and J. Astola, “Wave field reconstruction from multiple plane intensity-only data: augmented Lagrangian algorithm,” J. Opt. Soc. Am. A 28, 993–1002 (2011).

[Crossref]

V. Katkovnik and J. Astola, “Phase retrieval via spatial light modulator phase modulation in 4f optical setup: numerical inverse imaging with sparse regularization for phase and amplitude,” J. Opt. Soc. Am. A 29, 105–116 (2012).

[Crossref]

D. L. Misell, “A method for the solution of the phase problem in electron microscopy,” J. Phys. D 6, L6–L9 (1973).

[Crossref]

T. E. Gureyev, “Composite techniques for phase retrieval in the Fresnel region,” Opt. Commun. 220, 49–58 (2003).

[Crossref]

V. Arrizon, E. Carreon, and M. Testorf, “Implementation of Fourier array illuminators using pixelated SLM: efficiency limitations,” Opt. Commun. 16, 207–213 (1999).

[Crossref]

J. R. Fienup, “Iterative method applied to image reconstruction and to computer generated holograms,” Opt. Eng. 19, 297–305 (1980).

S. M. Zhao, J. Leach, L. Y. Gong, J. Ding, and B. Y. Zheng, “Aberration corrections for free-space optical communications in atmosphere turbulence using orbital angular momentum states,” Opt. Express 20, 452–461 (2012).

[Crossref]

S. Grilli, P. Ferraro, S. D. Nicola, A. Finizio, G. Pierattini, and R. Meucci, “Whole optical wavefields reconstruction by digital holography,” Opt. Express 9, 294–302 (2001).

[Crossref]

G. Pedrini, W. Osten, and Y. Zhang, “Wave-front reconstruction from a sequence of interferograms recorded at different planes,” Opt. Lett. 30, 833–835 (2005).

[Crossref]

Z. Zalevsky, D. Mendlovic, and R. Dorsch, “Gerchberg–Saxton algorithm applied in the fractional Fourier or the Fresnel domain,” Opt. Lett. 21, 842–844 (1996).

[Crossref]

J. R. Fienup, “Reconstruction of an object from the modulus of its Fourier transform,” Opt. Lett. 3, 27–29 (1978).

[Crossref]

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

M. Agour, C. Falldorf, C. von Kopylow, and R. B. Bregmenn, “The effect of misalignment in phase retrieval based on a spatial light modulator,” Proc. SPIE 8082, 80820M (2011).

[Crossref]

A. Migukin, V. Katkovnik, and J. Astola, “Advanced multi-plane phase retrieval using graphic processing unit: augmented Lagrangian technique with sparse regularization,” Proc. SPIE 8429, 84291N (2012).

Q. Xue, Z. Wang, J. Huang, and J. Gao, “The elimination of the errors in the calibration image of 3D measurement with structured light,” Proc. SPIE 8430, 84300N (2012).

[Crossref]

J. R. Magnus and H. Neudecker, Matrix Differential Calculus with Applications in Statistics and Econometrics, 2nd ed.(Wiley, 1999).

Th. Kreis, Handbook of Holographic Interferometry: Optical and Digital Methods (Wiley-VCH, 2005).

M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing (Springer, 2010).

D. Han, K. Kornelson, D. Larson, and E. Weber, Frames for Undergraduates (Student Mathematical Library, AMS, 2007).

V. Katkovnik, A. Danielyan, and K. Egiazarian, “Decoupled inverse and denoising for image deblurring: variational BM3D-frame technique,” in Proceedings of the International Conference on Image Processing (ICIP) (IEEE, 2011), pp. 3514–3517.

A. Danielyan, V. Katkovnik, and K. Egiazarian, “Image deblurring by augmented Lagrangian with BM3D frame prior,” presented at Workshop on Information Theoretic Methods in Science and Engineering (WITMSE), Tampere, Finland, 16–18 August 2010.

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

A. Migukin, V. Katkovnik, and J. Astola, “Advanced phase retrieval: maximum likelihood technique with sparse regularization of phase and amplitude,” arXiv:1108.3251v1.