T. E. Gureyev, A. Pogany, D. M. Paganin, and S. W. Wilkins, "Linear algorithms for phase retrieval in the Fresnel region," Opt. Commun. 231, 53-70 (2004).

[CrossRef]

T. E. Gureyev, T. J. Davis, A. Pogany, S. C. Mayo, and S. W. Wilkins, "Optical phase retrieval by use of first Born- and Rytov-type approximations," Appl. Opt. 43, 2418-2430 (2004).

[CrossRef]
[PubMed]

M. Liebling, T. Blu, and M. Unser, "Fresnelets: new multiresolution wavelet bases for digital holography," IEEE Trans. Image Process. 12, 29-43 (2003).

[CrossRef]

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

[CrossRef]

T. E. Gureyev, "Transport of intensity equation for beams in an arbitrary state of temporal and spatial coherence," Optik (Stuttgart) 110, 263-266 (1999).

A. Pogany, D. Gao, and S. W. Wilkins, "Contrast and resolution in imaging with a microfocus x-ray source," Rev. Sci. Instrum. 68, 2774-2782 (1997).

[CrossRef]

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barnea, "Quantitative phase imaging using hard x-rays," Phys. Rev. Lett. 77, 2961-2964 (1996).

[CrossRef]
[PubMed]

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

D. Gabor, "A new microscopic principle," Nature (London) 161, 777-778 (1948).

[CrossRef]

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barnea, "Quantitative phase imaging using hard x-rays," Phys. Rev. Lett. 77, 2961-2964 (1996).

[CrossRef]
[PubMed]

M. Liebling, T. Blu, and M. Unser, "Fresnelets: new multiresolution wavelet bases for digital holography," IEEE Trans. Image Process. 12, 29-43 (2003).

[CrossRef]

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).

A. Brandt, "A guide to multigrid development," in Multigrid Methods (Springer-Verlag, 1982).

[CrossRef]

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barnea, "Quantitative phase imaging using hard x-rays," Phys. Rev. Lett. 77, 2961-2964 (1996).

[CrossRef]
[PubMed]

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C++. The Art of Scientific Computing (Cambridge U. Press, 2002).

D. Gabor, "A new microscopic principle," Nature (London) 161, 777-778 (1948).

[CrossRef]

A. Pogany, D. Gao, and S. W. Wilkins, "Contrast and resolution in imaging with a microfocus x-ray source," Rev. Sci. Instrum. 68, 2774-2782 (1997).

[CrossRef]

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

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

T. E. Gureyev, A. Pogany, D. M. Paganin, and S. W. Wilkins, "Linear algorithms for phase retrieval in the Fresnel region," Opt. Commun. 231, 53-70 (2004).

[CrossRef]

T. E. Gureyev, T. J. Davis, A. Pogany, S. C. Mayo, and S. W. Wilkins, "Optical phase retrieval by use of first Born- and Rytov-type approximations," Appl. Opt. 43, 2418-2430 (2004).

[CrossRef]
[PubMed]

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

[CrossRef]

T. E. Gureyev, "Transport of intensity equation for beams in an arbitrary state of temporal and spatial coherence," Optik (Stuttgart) 110, 263-266 (1999).

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barnea, "Quantitative phase imaging using hard x-rays," Phys. Rev. Lett. 77, 2961-2964 (1996).

[CrossRef]
[PubMed]

T. E. Gureyev, A. Roberts, and K. A. Nugent, "Phase retrieval with the transport-of-intensity equation: matrix solution with use of Zernike polynomials," J. Opt. Soc. Am. A 12, 1932-1941 (1995).

[CrossRef]

V. E. Henson, "Multigrid methods for nonlinear problems: an overview," Lawrence Livermore National Laboratory Tech. Rep. UCRL-JC-150259 (2003).

M. Vetterli and J. Kovacevic, Wavelets and Subband Coding (Prentice Hall, 1995).

A. Latto, H. L. Resnikoff, and E. Tenenbaum, "The evaluation of connection coefficients of compactly supported wavelets," in Proceedings of the French-USA Workshop on Wavelets and Turbulence, Y.Maday, ed. (Springer-Verlag, Princeton University, 1991).

M. Liebling, T. Blu, and M. Unser, "Fresnelets: new multiresolution wavelet bases for digital holography," IEEE Trans. Image Process. 12, 29-43 (2003).

[CrossRef]

S. Mallat, A Wavelet Tour of Signal Processing (Academic, 1999).

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barnea, "Quantitative phase imaging using hard x-rays," Phys. Rev. Lett. 77, 2961-2964 (1996).

[CrossRef]
[PubMed]

T. E. Gureyev, A. Roberts, and K. A. Nugent, "Phase retrieval with the transport-of-intensity equation: matrix solution with use of Zernike polynomials," J. Opt. Soc. Am. A 12, 1932-1941 (1995).

[CrossRef]

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barnea, "Quantitative phase imaging using hard x-rays," Phys. Rev. Lett. 77, 2961-2964 (1996).

[CrossRef]
[PubMed]

T. E. Gureyev, A. Pogany, D. M. Paganin, and S. W. Wilkins, "Linear algorithms for phase retrieval in the Fresnel region," Opt. Commun. 231, 53-70 (2004).

[CrossRef]

T. E. Gureyev, T. J. Davis, A. Pogany, S. C. Mayo, and S. W. Wilkins, "Optical phase retrieval by use of first Born- and Rytov-type approximations," Appl. Opt. 43, 2418-2430 (2004).

[CrossRef]
[PubMed]

T. E. Gureyev, A. Pogany, D. M. Paganin, and S. W. Wilkins, "Linear algorithms for phase retrieval in the Fresnel region," Opt. Commun. 231, 53-70 (2004).

[CrossRef]

A. Pogany, D. Gao, and S. W. Wilkins, "Contrast and resolution in imaging with a microfocus x-ray source," Rev. Sci. Instrum. 68, 2774-2782 (1997).

[CrossRef]

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C++. The Art of Scientific Computing (Cambridge U. Press, 2002).

H. L. Resnikoff and R. O. Wells, Wavelet Analysis (Springer-Verlag, 1998).

[CrossRef]

A. Latto, H. L. Resnikoff, and E. Tenenbaum, "The evaluation of connection coefficients of compactly supported wavelets," in Proceedings of the French-USA Workshop on Wavelets and Turbulence, Y.Maday, ed. (Springer-Verlag, Princeton University, 1991).

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

A. Latto, H. L. Resnikoff, and E. Tenenbaum, "The evaluation of connection coefficients of compactly supported wavelets," in Proceedings of the French-USA Workshop on Wavelets and Turbulence, Y.Maday, ed. (Springer-Verlag, Princeton University, 1991).

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C++. The Art of Scientific Computing (Cambridge U. Press, 2002).

M. Liebling, T. Blu, and M. Unser, "Fresnelets: new multiresolution wavelet bases for digital holography," IEEE Trans. Image Process. 12, 29-43 (2003).

[CrossRef]

M. Vetterli and J. Kovacevic, Wavelets and Subband Coding (Prentice Hall, 1995).

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C++. The Art of Scientific Computing (Cambridge U. Press, 2002).

C. R. Vogel, Computational Methods for Inverse Problems (Society for Industrial and Applied Mathematics, 2002).

[CrossRef]

H. L. Resnikoff and R. O. Wells, Wavelet Analysis (Springer-Verlag, 1998).

[CrossRef]

T. E. Gureyev, A. Pogany, D. M. Paganin, and S. W. Wilkins, "Linear algorithms for phase retrieval in the Fresnel region," Opt. Commun. 231, 53-70 (2004).

[CrossRef]

T. E. Gureyev, T. J. Davis, A. Pogany, S. C. Mayo, and S. W. Wilkins, "Optical phase retrieval by use of first Born- and Rytov-type approximations," Appl. Opt. 43, 2418-2430 (2004).

[CrossRef]
[PubMed]

A. Pogany, D. Gao, and S. W. Wilkins, "Contrast and resolution in imaging with a microfocus x-ray source," Rev. Sci. Instrum. 68, 2774-2782 (1997).

[CrossRef]

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).

J. R. Fienup, "Phase retrieval algorithms: a comparison," Appl. Opt. 21, 2758-2769 (1982).

[CrossRef]
[PubMed]

T. E. Gureyev, T. J. Davis, A. Pogany, S. C. Mayo, and S. W. Wilkins, "Optical phase retrieval by use of first Born- and Rytov-type approximations," Appl. Opt. 43, 2418-2430 (2004).

[CrossRef]
[PubMed]

F. Roddier, "Wavefront sensing and the irradiance transport equation," Appl. Opt. 29, 1402-1403 (1990).

[CrossRef]
[PubMed]

M. Liebling, T. Blu, and M. Unser, "Fresnelets: new multiresolution wavelet bases for digital holography," IEEE Trans. Image Process. 12, 29-43 (2003).

[CrossRef]

T. E. Gureyev, A. Roberts, and K. A. Nugent, "Phase retrieval with the transport-of-intensity equation: matrix solution with use of Zernike polynomials," J. Opt. Soc. Am. A 12, 1932-1941 (1995).

[CrossRef]

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

[CrossRef]

R. P. Millane, "Phase retrieval in crystallography and optics," J. Opt. Soc. Am. A 7, 394-411 (1990).

[CrossRef]

D. Gabor, "A new microscopic principle," Nature (London) 161, 777-778 (1948).

[CrossRef]

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

[CrossRef]

T. E. Gureyev, A. Pogany, D. M. Paganin, and S. W. Wilkins, "Linear algorithms for phase retrieval in the Fresnel region," Opt. Commun. 231, 53-70 (2004).

[CrossRef]

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

T. E. Gureyev, "Transport of intensity equation for beams in an arbitrary state of temporal and spatial coherence," Optik (Stuttgart) 110, 263-266 (1999).

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barnea, "Quantitative phase imaging using hard x-rays," Phys. Rev. Lett. 77, 2961-2964 (1996).

[CrossRef]
[PubMed]

A. Pogany, D. Gao, and S. W. Wilkins, "Contrast and resolution in imaging with a microfocus x-ray source," Rev. Sci. Instrum. 68, 2774-2782 (1997).

[CrossRef]

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).

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

A. Latto, H. L. Resnikoff, and E. Tenenbaum, "The evaluation of connection coefficients of compactly supported wavelets," in Proceedings of the French-USA Workshop on Wavelets and Turbulence, Y.Maday, ed. (Springer-Verlag, Princeton University, 1991).

C. R. Vogel, Computational Methods for Inverse Problems (Society for Industrial and Applied Mathematics, 2002).

[CrossRef]

A. Brandt, "A guide to multigrid development," in Multigrid Methods (Springer-Verlag, 1982).

[CrossRef]

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C++. The Art of Scientific Computing (Cambridge U. Press, 2002).

V. E. Henson, "Multigrid methods for nonlinear problems: an overview," Lawrence Livermore National Laboratory Tech. Rep. UCRL-JC-150259 (2003).

H. L. Resnikoff and R. O. Wells, Wavelet Analysis (Springer-Verlag, 1998).

[CrossRef]

S. Mallat, A Wavelet Tour of Signal Processing (Academic, 1999).

M. Vetterli and J. Kovacevic, Wavelets and Subband Coding (Prentice Hall, 1995).