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[Crossref]

S. Rajora, M. Butola, and K. Khare, “Calculating numerical derivatives using Fourier transform: some pitfalls and how to avoid them,” Eur. J. Phys. 39, 065806 (2018).

[Crossref]

E. J. Candes, X. Li, and M. Soltanolkotabi, “Phase retrieval from coded diffraction patterns,” Appl. Comput. Harmon. Anal. 39, 277–299 (2015).

[Crossref]

E. J. Candes, X. Li, and M. Soltanolkotabi, “Phase retrieval via Wirtinger flow: theory and algorithms,” IEEE Trans. Inf. Theory 61, 1985–2007 (2015).

[Crossref]

Y. Shechtman, Y. C. Eldar, O. Cohen, H. N. Chapman, J. Miao, and M. Segev, “Phase retrieval with applications to optical imaging: a contemporary overview,” IEEE Signal Process. Mag. 32(3), 87–109 (2015).

[Crossref]

C. Guo, S. Liu, and J. T. Sheridan, “Iterative phase retrieval algorithms I: optimization,” Appl. Opt. 54, 4698–4708 (2015).

[Crossref]

C. Gaur, B. Mohan, and K. Khare, “Sparsity-assisted solution to the twin image problem in phase retrieval,” J. Opt. Soc. Am. A 32, 1922–1927 (2015).

[Crossref]

K. He, M. K. Sharma, and O. Cossairt, “High dynamic range coherent imaging with compressed sensing,” Opt. Express 23, 30904–30916 (2015).

[Crossref]

Y. Shechtman, A. Beck, and Y. C. Eldar, “GESPAR: efficient phase retrieval of sparse signals,” IEEE Trans. Signal Process. 62, 928–938 (2014).

[Crossref]

K. A. Nugent, “Coherent methods in the x-ray sciences,” Adv. Phys. 59, 1–99 (2010).

[Crossref]

H. N. Chapman and K. A. Nugent, “Coherent lensless x-ray imaging,” Nat. Photonics 4, 833–839 (2010).

[Crossref]

J. Miao, T. Ishikawa, Q. Shen, and T. Earnest, “Extending x-ray crystallography to allow the imaging of noncrystalline materials, cells, and single protein complexes,” Annu. Rev. Phys. Chem. 59, 387–410 (2008).

[Crossref]

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

[Crossref]

D. R. Luke, “Relaxed averaged alternating reflections for diffraction,” Inverse Prob. 21, 37–50 (2004).

[Crossref]

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

D. Sayre, “Some implications of a theorem due to Shannon,” Acta Crystallogr. 5, 843 (1952).

[Crossref]

Y. Shechtman, A. Beck, and Y. C. Eldar, “GESPAR: efficient phase retrieval of sparse signals,” IEEE Trans. Signal Process. 62, 928–938 (2014).

[Crossref]

S. Rajora, M. Butola, and K. Khare, “Calculating numerical derivatives using Fourier transform: some pitfalls and how to avoid them,” Eur. J. Phys. 39, 065806 (2018).

[Crossref]

E. Candes, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory 52, 489–509 (2006).

[Crossref]

E. J. Candes, X. Li, and M. Soltanolkotabi, “Phase retrieval from coded diffraction patterns,” Appl. Comput. Harmon. Anal. 39, 277–299 (2015).

[Crossref]

E. J. Candes, X. Li, and M. Soltanolkotabi, “Phase retrieval via Wirtinger flow: theory and algorithms,” IEEE Trans. Inf. Theory 61, 1985–2007 (2015).

[Crossref]

Y. Shechtman, Y. C. Eldar, O. Cohen, H. N. Chapman, J. Miao, and M. Segev, “Phase retrieval with applications to optical imaging: a contemporary overview,” IEEE Signal Process. Mag. 32(3), 87–109 (2015).

[Crossref]

H. N. Chapman and K. A. Nugent, “Coherent lensless x-ray imaging,” Nat. Photonics 4, 833–839 (2010).

[Crossref]

C. Chen, J. Miao, C. Wang, and T. K. Lee, “Application of optimization technique to noncrystalline x-ray diffraction microscopy: guided hybrid input-output method,” Phys. Rev. B 76, 064113 (2007).

[Crossref]

Y. Shechtman, Y. C. Eldar, O. Cohen, H. N. Chapman, J. Miao, and M. Segev, “Phase retrieval with applications to optical imaging: a contemporary overview,” IEEE Signal Process. Mag. 32(3), 87–109 (2015).

[Crossref]

J. C. Dainty and J. R. Fienup, “Phase retrieval and image reconstruction for astronomy,” in Image Recovery: Theory and Application, H. Stark, ed. (Academic, 1987).

J. Miao, T. Ishikawa, Q. Shen, and T. Earnest, “Extending x-ray crystallography to allow the imaging of noncrystalline materials, cells, and single protein complexes,” Annu. Rev. Phys. Chem. 59, 387–410 (2008).

[Crossref]

Y. Shechtman, Y. C. Eldar, O. Cohen, H. N. Chapman, J. Miao, and M. Segev, “Phase retrieval with applications to optical imaging: a contemporary overview,” IEEE Signal Process. Mag. 32(3), 87–109 (2015).

[Crossref]

Y. Shechtman, A. Beck, and Y. C. Eldar, “GESPAR: efficient phase retrieval of sparse signals,” IEEE Trans. Signal Process. 62, 928–938 (2014).

[Crossref]

V. Elser, “Random projections and optimization of an algorithm for phase retrieval,” J. Phys. A 36, 2995–3007 (2003).

[Crossref]

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

[Crossref]

J. R. Fienup, “Phase retrieval algorithms: a personal tour,” Appl. Opt. 52, 45–56 (2013).

[Crossref]

M. Guizar-Sicairos and J. R. Fienup, “Understanding the twin image problem in phase retrieval,” J. Opt. Soc. Am. A 29, 2367–2375 (2012).

[Crossref]

J. R. Fienup, “Lensless coherent imaging by phase retrieval with an illumination pattern constraint,” Opt. Express 14, 498–508 (2006).

[Crossref]

J. R. Fienup, “Invariant error metrics for image reconstruction,” Appl. Opt. 36, 8352–8357 (1997).

[Crossref]

J. R. Fienup and C. C. Wackerman, “Phase-retrieval stagnation problems and solutions,” J. Opt. Soc. Am. A 3, 1897–1907 (1986).

[Crossref]

J. C. Dainty and J. R. Fienup, “Phase retrieval and image reconstruction for astronomy,” in Image Recovery: Theory and Application, H. Stark, ed. (Academic, 1987).

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

J. Miao, T. Ishikawa, Q. Shen, and T. Earnest, “Extending x-ray crystallography to allow the imaging of noncrystalline materials, cells, and single protein complexes,” Annu. Rev. Phys. Chem. 59, 387–410 (2008).

[Crossref]

S. Rajora, M. Butola, and K. Khare, “Calculating numerical derivatives using Fourier transform: some pitfalls and how to avoid them,” Eur. J. Phys. 39, 065806 (2018).

[Crossref]

C. Gaur, B. Mohan, and K. Khare, “Sparsity-assisted solution to the twin image problem in phase retrieval,” J. Opt. Soc. Am. A 32, 1922–1927 (2015).

[Crossref]

T. Latychevskaia, “Iterative phase retrieval in coherent diffractive imaging: practical issues,” Appl. Opt. 25, 7187–7197 (2018).

[Crossref]

C. Chen, J. Miao, C. Wang, and T. K. Lee, “Application of optimization technique to noncrystalline x-ray diffraction microscopy: guided hybrid input-output method,” Phys. Rev. B 76, 064113 (2007).

[Crossref]

E. J. Candes, X. Li, and M. Soltanolkotabi, “Phase retrieval from coded diffraction patterns,” Appl. Comput. Harmon. Anal. 39, 277–299 (2015).

[Crossref]

E. J. Candes, X. Li, and M. Soltanolkotabi, “Phase retrieval via Wirtinger flow: theory and algorithms,” IEEE Trans. Inf. Theory 61, 1985–2007 (2015).

[Crossref]

Y. Shechtman, Y. C. Eldar, O. Cohen, H. N. Chapman, J. Miao, and M. Segev, “Phase retrieval with applications to optical imaging: a contemporary overview,” IEEE Signal Process. Mag. 32(3), 87–109 (2015).

[Crossref]

J. Miao, T. Ishikawa, Q. Shen, and T. Earnest, “Extending x-ray crystallography to allow the imaging of noncrystalline materials, cells, and single protein complexes,” Annu. Rev. Phys. Chem. 59, 387–410 (2008).

[Crossref]

C. Chen, J. Miao, C. Wang, and T. K. Lee, “Application of optimization technique to noncrystalline x-ray diffraction microscopy: guided hybrid input-output method,” Phys. Rev. B 76, 064113 (2007).

[Crossref]

H. N. Chapman and K. A. Nugent, “Coherent lensless x-ray imaging,” Nat. Photonics 4, 833–839 (2010).

[Crossref]

K. A. Nugent, “Coherent methods in the x-ray sciences,” Adv. Phys. 59, 1–99 (2010).

[Crossref]

S. Rajora, M. Butola, and K. Khare, “Calculating numerical derivatives using Fourier transform: some pitfalls and how to avoid them,” Eur. J. Phys. 39, 065806 (2018).

[Crossref]

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

[Crossref]

E. Candes, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory 52, 489–509 (2006).

[Crossref]

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

D. Sayre, “Some implications of a theorem due to Shannon,” Acta Crystallogr. 5, 843 (1952).

[Crossref]

Y. Shechtman, Y. C. Eldar, O. Cohen, H. N. Chapman, J. Miao, and M. Segev, “Phase retrieval with applications to optical imaging: a contemporary overview,” IEEE Signal Process. Mag. 32(3), 87–109 (2015).

[Crossref]

Y. Shechtman, Y. C. Eldar, O. Cohen, H. N. Chapman, J. Miao, and M. Segev, “Phase retrieval with applications to optical imaging: a contemporary overview,” IEEE Signal Process. Mag. 32(3), 87–109 (2015).

[Crossref]

Y. Shechtman, A. Beck, and Y. C. Eldar, “GESPAR: efficient phase retrieval of sparse signals,” IEEE Trans. Signal Process. 62, 928–938 (2014).

[Crossref]

J. Miao, T. Ishikawa, Q. Shen, and T. Earnest, “Extending x-ray crystallography to allow the imaging of noncrystalline materials, cells, and single protein complexes,” Annu. Rev. Phys. Chem. 59, 387–410 (2008).

[Crossref]

E. J. Candes, X. Li, and M. Soltanolkotabi, “Phase retrieval via Wirtinger flow: theory and algorithms,” IEEE Trans. Inf. Theory 61, 1985–2007 (2015).

[Crossref]

E. J. Candes, X. Li, and M. Soltanolkotabi, “Phase retrieval from coded diffraction patterns,” Appl. Comput. Harmon. Anal. 39, 277–299 (2015).

[Crossref]

E. Candes, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory 52, 489–509 (2006).

[Crossref]

C. Chen, J. Miao, C. Wang, and T. K. Lee, “Application of optimization technique to noncrystalline x-ray diffraction microscopy: guided hybrid input-output method,” Phys. Rev. B 76, 064113 (2007).

[Crossref]

D. Sayre, “Some implications of a theorem due to Shannon,” Acta Crystallogr. 5, 843 (1952).

[Crossref]

K. A. Nugent, “Coherent methods in the x-ray sciences,” Adv. Phys. 59, 1–99 (2010).

[Crossref]

J. Miao, T. Ishikawa, Q. Shen, and T. Earnest, “Extending x-ray crystallography to allow the imaging of noncrystalline materials, cells, and single protein complexes,” Annu. Rev. Phys. Chem. 59, 387–410 (2008).

[Crossref]

E. J. Candes, X. Li, and M. Soltanolkotabi, “Phase retrieval from coded diffraction patterns,” Appl. Comput. Harmon. Anal. 39, 277–299 (2015).

[Crossref]

Y. Ivankovski and D. Mendlovic, “High-rate-long-distance fiber-optic communication based on advanced modulation techniques,” Appl. Opt. 38, 5533–5540 (1999).

[Crossref]

J. R. Fienup, “Phase retrieval algorithms: a personal tour,” Appl. Opt. 52, 45–56 (2013).

[Crossref]

T. Latychevskaia, “Iterative phase retrieval in coherent diffractive imaging: practical issues,” Appl. Opt. 25, 7187–7197 (2018).

[Crossref]

C. Guo, S. Liu, and J. T. Sheridan, “Iterative phase retrieval algorithms I: optimization,” Appl. Opt. 54, 4698–4708 (2015).

[Crossref]

J. R. Fienup, “Invariant error metrics for image reconstruction,” Appl. Opt. 36, 8352–8357 (1997).

[Crossref]

S. Rajora, M. Butola, and K. Khare, “Calculating numerical derivatives using Fourier transform: some pitfalls and how to avoid them,” Eur. J. Phys. 39, 065806 (2018).

[Crossref]

Y. Shechtman, Y. C. Eldar, O. Cohen, H. N. Chapman, J. Miao, and M. Segev, “Phase retrieval with applications to optical imaging: a contemporary overview,” IEEE Signal Process. Mag. 32(3), 87–109 (2015).

[Crossref]

E. Candes, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory 52, 489–509 (2006).

[Crossref]

E. J. Candes, X. Li, and M. Soltanolkotabi, “Phase retrieval via Wirtinger flow: theory and algorithms,” IEEE Trans. Inf. Theory 61, 1985–2007 (2015).

[Crossref]

Y. Shechtman, A. Beck, and Y. C. Eldar, “GESPAR: efficient phase retrieval of sparse signals,” IEEE Trans. Signal Process. 62, 928–938 (2014).

[Crossref]

D. R. Luke, “Relaxed averaged alternating reflections for diffraction,” Inverse Prob. 21, 37–50 (2004).

[Crossref]

H. H. Bauschke, P. L. Combettes, and D. R. Luke, “Hybrid projection reflection method for phase retrieval,” J. Opt. Soc. Am. A 20, 1025–1034 (2003).

[Crossref]

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[Crossref]

M. Guizar-Sicairos and J. R. Fienup, “Understanding the twin image problem in phase retrieval,” J. Opt. Soc. Am. A 29, 2367–2375 (2012).

[Crossref]

J. R. Fienup and C. C. Wackerman, “Phase-retrieval stagnation problems and solutions,” J. Opt. Soc. Am. A 3, 1897–1907 (1986).

[Crossref]

C. Gaur, B. Mohan, and K. Khare, “Sparsity-assisted solution to the twin image problem in phase retrieval,” J. Opt. Soc. Am. A 32, 1922–1927 (2015).

[Crossref]

V. Elser, “Random projections and optimization of an algorithm for phase retrieval,” J. Phys. A 36, 2995–3007 (2003).

[Crossref]

H. N. Chapman and K. A. Nugent, “Coherent lensless x-ray imaging,” Nat. Photonics 4, 833–839 (2010).

[Crossref]

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

C. Chen, J. Miao, C. Wang, and T. K. Lee, “Application of optimization technique to noncrystalline x-ray diffraction microscopy: guided hybrid input-output method,” Phys. Rev. B 76, 064113 (2007).

[Crossref]

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

[Crossref]

P. Ferraro, A. Wax, and Z. Zalevsky, eds., Coherent Light Microscopy: Imaging and Quantitative Phase Analysis (Springer, 2011).

J. C. Dainty and J. R. Fienup, “Phase retrieval and image reconstruction for astronomy,” in Image Recovery: Theory and Application, H. Stark, ed. (Academic, 1987).