S. Marchesini, “A unified evaluation of iterative projection algorithms for phase retrieval,” Rev. Sci. Instrum. 78, 011301 (2007).

[CrossRef]

G. Williams, M. Pfeifer, I. Vartanyants, and I. Robinson, “Effectiveness of iterative algorithms in recovering phase in the presence of noise,” Acta Crystallogr. A 63, 36–42 (2007).

[CrossRef]

F. Zhang, G. Pedrini, and W. Osten, “Phase retrieval of arbitrary complex-valued fields through aperture-plane modulation,” Phys. Rev. A 75, 043805 (2007).

[CrossRef]

D. R. Luke, “Relaxed averaged alternating reflections for diffraction imaging,” Inverse Probl. 21, 37–50 (2005).

[CrossRef]

V. Elser, “Phase retrieval by iterated projections,” J. Opt. Soc. Am. A 20, 40–55 (2003).

[CrossRef]

H. H. Bauschke, P. L. Combettes, and D. R. Luke, “Hybrid projection–reflection method for phase retrieval,” J. Opt. Soc. Am. A 20, 1025–2034 (2003).

[CrossRef]

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101 (2003).

[CrossRef]

G. Liu, “Fourier phase retrieval algorithm with noise constraints,” Sig. Process. 21, 339–347 (1990).

[CrossRef]

G. Liu, “Object reconstruction from noisy holograms: multiplicative noise model,” Opt. Commun. 79, 402–406 (1990).

[CrossRef]

E. Hartman and J. Keeler, “Layered neural networks with Gaussian hidden units as universal approximations,” Neural Comput. 2, 210–215 (1990).

[CrossRef]

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik 35, 237–250 (1972).

E. Polak, “Computational methods in optimization; a unified approach,” Math. Program. 3, 131–133 (1972).

E. Polak and G. Ribiére, “Note sur la convergence de méthodes de directions conjuguées,” Rev. Fr. Inf. Rech. Oper. 3, 35–43 (1969).

R. Fletcher and C. Reeves, “Function minimization by conjugate gradients,” Comput. J. 7, 149–154 (1964).

[CrossRef]

R. Hanbury Brown and R. Q. Twiss, “Interferometry of the intensity fluctuations in light,” Proc. R. Soc. B 242, 300–324 (1957).

[CrossRef]

R. Hanbury Brown and R. Q. Twiss, “A test of a new type of Stellar Interferometer on Sirius,” Nature 178, 1046–1048 (1956).

[CrossRef]

R. Hanbury Brown and R. Q. Twiss, “A new type of interferometer for use in radio astronomy,” Philos. Mag. 45(7), 663–682 (1954).

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, 1964).

H. Altwaijry and D. Hyland, “Detection and characterization of near Earth asteroids using stellar occultation,” in AAS/AIAA Astrodynamics Specialist Conference, Hilton Head, South Carolina, 2013.

S. Babaoe-Kafaki, “A quadratic hybridization of Polak–Ribière–Polyak and Fletcher–Reeves conjugate gradient methods,” J. Optim. Theory Appl. 154, 916–932 (2012).

[CrossRef]

R. Bates and D. Mnyama, “The status of practical Fourier phase retrieval,” Advances in Electronics and Electron Physics (Academic, 1986), Vol. 67, pp. 1–64.

H. H. Bauschke, P. L. Combettes, and D. R. Luke, “Hybrid projection–reflection method for phase retrieval,” J. Opt. Soc. Am. A 20, 1025–2034 (2003).

[CrossRef]

H. H. Bauschke, P. L. Combettes, and D. R. Luke, “Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization,” J. Opt. Soc. Am. A 19, 1334–1345 (2002).

[CrossRef]

M. Born and E. Wolf, Principles of Optics, 6th ed. (Cambridge University, 1997).

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101 (2003).

[CrossRef]

J. Miao, D. Sayre, and H. N. Chapman, “Phase retrieval from the magnitude of the Fourier transforms of nonperiodic objects,” J. Opt. Soc. Am. A 15, 1662–1669 (1998).

[CrossRef]

H. H. Bauschke, P. L. Combettes, and D. R. Luke, “Hybrid projection–reflection method for phase retrieval,” J. Opt. Soc. Am. A 20, 1025–2034 (2003).

[CrossRef]

H. H. Bauschke, P. L. Combettes, and D. R. Luke, “Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization,” J. Opt. Soc. Am. A 19, 1334–1345 (2002).

[CrossRef]

R. Fernando, GPU Gems: Programming Techniques, Tips and Tricks for Real-Time Graphics (Pearson Higher Education, 2004).

M. Pharr and R. Fernando, GPU Gems 2: Programming Techniques for High-Performance Graphics and General-Purpose Computation (Addison-Wesley, 2005).

R. Fletcher and C. Reeves, “Function minimization by conjugate gradients,” Comput. J. 7, 149–154 (1964).

[CrossRef]

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik 35, 237–250 (1972).

R. Hanbury Brown and R. Q. Twiss, “Interferometry of the intensity fluctuations in light,” Proc. R. Soc. B 242, 300–324 (1957).

[CrossRef]

R. Hanbury Brown and R. Q. Twiss, “A test of a new type of Stellar Interferometer on Sirius,” Nature 178, 1046–1048 (1956).

[CrossRef]

R. Hanbury Brown and R. Q. Twiss, “A new type of interferometer for use in radio astronomy,” Philos. Mag. 45(7), 663–682 (1954).

E. Hartman and J. Keeler, “Layered neural networks with Gaussian hidden units as universal approximations,” Neural Comput. 2, 210–215 (1990).

[CrossRef]

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101 (2003).

[CrossRef]

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101 (2003).

[CrossRef]

P. S. Heckbert, “Survey of texture mapping,” IEEE Comp. Grap. Appl. 6, 56–67 (1986).

[CrossRef]

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101 (2003).

[CrossRef]

E. Hartman and J. Keeler, “Layered neural networks with Gaussian hidden units as universal approximations,” Neural Comput. 2, 210–215 (1990).

[CrossRef]

D. Shreiner, G. Sellers, J. M. Kessenish, and B. M. Licea-Kane, OpenGL Programming Guide (Addison-Wesley, 2013).

D. Shreiner, G. Sellers, J. M. Kessenish, and B. M. Licea-Kane, OpenGL Programming Guide (Addison-Wesley, 2013).

G. Liu, “Object reconstruction from noisy holograms: multiplicative noise model,” Opt. Commun. 79, 402–406 (1990).

[CrossRef]

G. Liu, “Fourier phase retrieval algorithm with noise constraints,” Sig. Process. 21, 339–347 (1990).

[CrossRef]

D. R. Luke, “Relaxed averaged alternating reflections for diffraction imaging,” Inverse Probl. 21, 37–50 (2005).

[CrossRef]

H. H. Bauschke, P. L. Combettes, and D. R. Luke, “Hybrid projection–reflection method for phase retrieval,” J. Opt. Soc. Am. A 20, 1025–2034 (2003).

[CrossRef]

H. H. Bauschke, P. L. Combettes, and D. R. Luke, “Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization,” J. Opt. Soc. Am. A 19, 1334–1345 (2002).

[CrossRef]

S. Marchesini, “A unified evaluation of iterative projection algorithms for phase retrieval,” Rev. Sci. Instrum. 78, 011301 (2007).

[CrossRef]

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101 (2003).

[CrossRef]

R. Bates and D. Mnyama, “The status of practical Fourier phase retrieval,” Advances in Electronics and Electron Physics (Academic, 1986), Vol. 67, pp. 1–64.

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101 (2003).

[CrossRef]

F. Zhang, G. Pedrini, and W. Osten, “Phase retrieval of arbitrary complex-valued fields through aperture-plane modulation,” Phys. Rev. A 75, 043805 (2007).

[CrossRef]

F. Zhang, G. Pedrini, and W. Osten, “Phase retrieval of arbitrary complex-valued fields through aperture-plane modulation,” Phys. Rev. A 75, 043805 (2007).

[CrossRef]

G. Williams, M. Pfeifer, I. Vartanyants, and I. Robinson, “Effectiveness of iterative algorithms in recovering phase in the presence of noise,” Acta Crystallogr. A 63, 36–42 (2007).

[CrossRef]

M. Pharr and R. Fernando, GPU Gems 2: Programming Techniques for High-Performance Graphics and General-Purpose Computation (Addison-Wesley, 2005).

E. Polak, “Computational methods in optimization; a unified approach,” Math. Program. 3, 131–133 (1972).

E. Polak and G. Ribiére, “Note sur la convergence de méthodes de directions conjuguées,” Rev. Fr. Inf. Rech. Oper. 3, 35–43 (1969).

R. Fletcher and C. Reeves, “Function minimization by conjugate gradients,” Comput. J. 7, 149–154 (1964).

[CrossRef]

E. Polak and G. Ribiére, “Note sur la convergence de méthodes de directions conjuguées,” Rev. Fr. Inf. Rech. Oper. 3, 35–43 (1969).

G. Williams, M. Pfeifer, I. Vartanyants, and I. Robinson, “Effectiveness of iterative algorithms in recovering phase in the presence of noise,” Acta Crystallogr. A 63, 36–42 (2007).

[CrossRef]

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik 35, 237–250 (1972).

D. Shreiner, G. Sellers, J. M. Kessenish, and B. M. Licea-Kane, OpenGL Programming Guide (Addison-Wesley, 2013).

D. Shreiner, G. Sellers, J. M. Kessenish, and B. M. Licea-Kane, OpenGL Programming Guide (Addison-Wesley, 2013).

A. R. Smith, “A pixel is not a little square,” Microsoft Technical Memo 6 (Microsoft, 1995).

J. S. Wu, U. Weierstall, and J. Spence, “Iterative phase retrieval without support,” Opt. Lett. 29, 2737–2739 (2004).

[CrossRef]

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101 (2003).

[CrossRef]

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, 1964).

R. Hanbury Brown and R. Q. Twiss, “Interferometry of the intensity fluctuations in light,” Proc. R. Soc. B 242, 300–324 (1957).

[CrossRef]

R. Hanbury Brown and R. Q. Twiss, “A test of a new type of Stellar Interferometer on Sirius,” Nature 178, 1046–1048 (1956).

[CrossRef]

R. Hanbury Brown and R. Q. Twiss, “A new type of interferometer for use in radio astronomy,” Philos. Mag. 45(7), 663–682 (1954).

G. Williams, M. Pfeifer, I. Vartanyants, and I. Robinson, “Effectiveness of iterative algorithms in recovering phase in the presence of noise,” Acta Crystallogr. A 63, 36–42 (2007).

[CrossRef]

J. S. Wu, U. Weierstall, and J. Spence, “Iterative phase retrieval without support,” Opt. Lett. 29, 2737–2739 (2004).

[CrossRef]

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101 (2003).

[CrossRef]

G. Williams, M. Pfeifer, I. Vartanyants, and I. Robinson, “Effectiveness of iterative algorithms in recovering phase in the presence of noise,” Acta Crystallogr. A 63, 36–42 (2007).

[CrossRef]

M. Born and E. Wolf, Principles of Optics, 6th ed. (Cambridge University, 1997).

F. Zhang, G. Pedrini, and W. Osten, “Phase retrieval of arbitrary complex-valued fields through aperture-plane modulation,” Phys. Rev. A 75, 043805 (2007).

[CrossRef]

G. Williams, M. Pfeifer, I. Vartanyants, and I. Robinson, “Effectiveness of iterative algorithms in recovering phase in the presence of noise,” Acta Crystallogr. A 63, 36–42 (2007).

[CrossRef]

R. Fletcher and C. Reeves, “Function minimization by conjugate gradients,” Comput. J. 7, 149–154 (1964).

[CrossRef]

P. S. Heckbert, “Survey of texture mapping,” IEEE Comp. Grap. Appl. 6, 56–67 (1986).

[CrossRef]

D. R. Luke, “Relaxed averaged alternating reflections for diffraction imaging,” Inverse Probl. 21, 37–50 (2005).

[CrossRef]

J. Miao, D. Sayre, and H. N. Chapman, “Phase retrieval from the magnitude of the Fourier transforms of nonperiodic objects,” J. Opt. Soc. Am. A 15, 1662–1669 (1998).

[CrossRef]

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

[CrossRef]

H. H. Bauschke, P. L. Combettes, and D. R. Luke, “Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization,” J. Opt. Soc. Am. A 19, 1334–1345 (2002).

[CrossRef]

V. Elser, “Phase retrieval by iterated projections,” J. Opt. Soc. Am. A 20, 40–55 (2003).

[CrossRef]

H. H. Bauschke, P. L. Combettes, and D. R. Luke, “Hybrid projection–reflection method for phase retrieval,” J. Opt. Soc. Am. A 20, 1025–2034 (2003).

[CrossRef]

S. Babaoe-Kafaki, “A quadratic hybridization of Polak–Ribière–Polyak and Fletcher–Reeves conjugate gradient methods,” J. Optim. Theory Appl. 154, 916–932 (2012).

[CrossRef]

E. Polak, “Computational methods in optimization; a unified approach,” Math. Program. 3, 131–133 (1972).

R. Hanbury Brown and R. Q. Twiss, “A test of a new type of Stellar Interferometer on Sirius,” Nature 178, 1046–1048 (1956).

[CrossRef]

E. Hartman and J. Keeler, “Layered neural networks with Gaussian hidden units as universal approximations,” Neural Comput. 2, 210–215 (1990).

[CrossRef]

G. Liu, “Object reconstruction from noisy holograms: multiplicative noise model,” Opt. Commun. 79, 402–406 (1990).

[CrossRef]

E. Gur, V. Sarafis, I. Falat, F. Vacha, M. Vacha, and Z. Zalevsky, “Super-resolution via iterative phase retrieval for blurred and saturated biological images,” Opt. Express 16, 7894–7903 (2008).

[CrossRef]

M. Kohl, A. A. Minkevich, and T. Baumback, “Improved success rate and stability for phase retrieval by including randomized overrelaxation in the hybrid input output algorithm,” Opt. Express 20, 17093–17106 (2012).

[CrossRef]

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik 35, 237–250 (1972).

R. Hanbury Brown and R. Q. Twiss, “A new type of interferometer for use in radio astronomy,” Philos. Mag. 45(7), 663–682 (1954).

F. Zhang, G. Pedrini, and W. Osten, “Phase retrieval of arbitrary complex-valued fields through aperture-plane modulation,” Phys. Rev. A 75, 043805 (2007).

[CrossRef]

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101 (2003).

[CrossRef]

R. Hanbury Brown and R. Q. Twiss, “Interferometry of the intensity fluctuations in light,” Proc. R. Soc. B 242, 300–324 (1957).

[CrossRef]

E. Polak and G. Ribiére, “Note sur la convergence de méthodes de directions conjuguées,” Rev. Fr. Inf. Rech. Oper. 3, 35–43 (1969).

S. Marchesini, “A unified evaluation of iterative projection algorithms for phase retrieval,” Rev. Sci. Instrum. 78, 011301 (2007).

[CrossRef]

G. Liu, “Fourier phase retrieval algorithm with noise constraints,” Sig. Process. 21, 339–347 (1990).

[CrossRef]

R. Bates and D. Mnyama, “The status of practical Fourier phase retrieval,” Advances in Electronics and Electron Physics (Academic, 1986), Vol. 67, pp. 1–64.

H. Altwaijry and D. Hyland, “Detection and characterization of near Earth asteroids using stellar occultation,” in AAS/AIAA Astrodynamics Specialist Conference, Hilton Head, South Carolina, 2013.

A. R. Smith, “A pixel is not a little square,” Microsoft Technical Memo 6 (Microsoft, 1995).

R. Fernando, GPU Gems: Programming Techniques, Tips and Tricks for Real-Time Graphics (Pearson Higher Education, 2004).

M. Pharr and R. Fernando, GPU Gems 2: Programming Techniques for High-Performance Graphics and General-Purpose Computation (Addison-Wesley, 2005).

D. Shreiner, G. Sellers, J. M. Kessenish, and B. M. Licea-Kane, OpenGL Programming Guide (Addison-Wesley, 2013).

M. Born and E. Wolf, Principles of Optics, 6th ed. (Cambridge University, 1997).

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, 1964).