T. Poggio and S. Smale, "The mathematics of learning: dealing with data," Not. Am. Math. Soc. 50, 537-544 (2003).

C. L. Byrne, "Erratum and addendum to 'Iterative image reconstruction algorithms based on cross-entropy minimization'," IEEE Trans. Image Process. IP-4, 225-226 (1995).

C. L. Byrne, "Iterative image reconstruction algorithms based on cross-entropy minimization," IEEE Trans. Image Process. IP-2, 96-103 (1993).

[CrossRef]

C. L. Byrne and M. A. Fiddy, "Images as power spectra; reconstruction as Wiener filter approximation," Inverse Probl. 4, 399-409 (1988).

[CrossRef]

J. C. Dainty and M. A. Fiddy, "The essential role of prior knowledge in phase retrieval," Opt. Acta 31, 325-330 (1984).

[CrossRef]

C. L. Byrne and R. M. Fitzgerald, "Spectral estimators that extend the maximum entropy and maximum likelihood methods," SIAM J. Appl. Math. 44, 425-442 (1984).

[CrossRef]

C. L. Byrne and R. M. Fitzgerald, "Reconstruction from partial information, with applications to tomography," SIAM J. Appl. Math. 42, 933-940 (1982).

[CrossRef]

J. Fienup, "Space object imaging through the turbulent atmosphere," Opt. Eng. (Bellingham) 18, 529-534 (1979).

A. Papoulis, "A new algorithm in spectral analysis and band-limited extrapolation," IEEE Trans. Circuits Syst. 22, 735-742 (1975).

[CrossRef]

R. W. Gerchberg, "Super-restoration through error energy reduction," Opt. Acta 21, 709-720 (1974).

[CrossRef]

H. Cox, "Resolving power and sensitivity to mismatch of optimum array processors," J. Acoust. Soc. Am. 54, 771-785 (1973).

[CrossRef]

J. Burg, "The relationship between maximum entropy spectra and maximum likelihood spectra," Geophysics 37, 375-376 (1972).

[CrossRef]

R. Gordon, R. Bender, and G. T. Herman, "Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography," J. Theor. Biol. 29, 471-481 (1970).

[CrossRef]
[PubMed]

R. Gordon, R. Bender, and G. T. Herman, "Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography," J. Theor. Biol. 29, 471-481 (1970).

[CrossRef]
[PubMed]

M. Bertero, "Sampling theory, resolution limits and inversion methods," in Inverse Problems in Scattering and Imaging, M.Bertero and E.R.Pike, eds. (Malvern Physics Series, Adam Hilger, IOP Publishing, 1992), pp. 71-94.

J. Burg, "The relationship between maximum entropy spectra and maximum likelihood spectra," Geophysics 37, 375-376 (1972).

[CrossRef]

J. Burg, "Maximum Entropy Spectral Analysis," Ph.D. thesis (Stanford University, Stanford, California,1975).

J. Burg, "Maximum entropy spectral analysis," presented at the 37th Annual Society of Exploration Geophysicists Meeting, Oklahoma City, Oklahoma, July 1967.

C.-W. Liao, M. A. Fiddy, and C. L. Byrne, "Imaging from the zero locations of far-field intensity data," J. Opt. Soc. Am. A 14, 3155-3161 (1997).

[CrossRef]

C. L. Byrne, "Erratum and addendum to 'Iterative image reconstruction algorithms based on cross-entropy minimization'," IEEE Trans. Image Process. IP-4, 225-226 (1995).

C. L. Byrne, "Iterative image reconstruction algorithms based on cross-entropy minimization," IEEE Trans. Image Process. IP-2, 96-103 (1993).

[CrossRef]

C. L. Byrne and M. A. Fiddy, "Images as power spectra; reconstruction as Wiener filter approximation," Inverse Probl. 4, 399-409 (1988).

[CrossRef]

C. L. Byrne and M. A. Fiddy, "Estimation of continuous object distributions from Fourier magnitude measurements," J. Opt. Soc. Am. A 4, 412-417 (1987).

[CrossRef]

C. L. Byrne and R. M. Fitzgerald, "Spectral estimators that extend the maximum entropy and maximum likelihood methods," SIAM J. Appl. Math. 44, 425-442 (1984).

[CrossRef]

C. L. Byrne, R. M. Fitzgerald, M. A. Fiddy, T. J. Hall, and A. M. Darling, "Image restoration and resolution enhancement," J. Opt. Soc. Am. 73, 1481-1487 (1983).

[CrossRef]

C. L. Byrne and R. M. Fitzgerald, "Reconstruction from partial information, with applications to tomography," SIAM J. Appl. Math. 42, 933-940 (1982).

[CrossRef]

C. L. Byrne and R. M. Fitzgerald, "A unifying model for spectrum estimation," presented at the Rome Air Development Center Workshop on Spectrum Estimation, Griffiss Air Force Base, Rome, New York, October 3-5, 1979.

H. M. Shieh, M. E. Testorf, C. L. Byrne, and M. A. Fiddy, "Iterative image reconstruction using prior knowledge," submitted to J. Opt. Soc. Am. A.

C. L. Byrne, Signal Processing: A Mathematical Approach (AK Peters, 2005).

H. Cox, "Resolving power and sensitivity to mismatch of optimum array processors," J. Acoust. Soc. Am. 54, 771-785 (1973).

[CrossRef]

J. C. Dainty and M. A. Fiddy, "The essential role of prior knowledge in phase retrieval," Opt. Acta 31, 325-330 (1984).

[CrossRef]

C.-W. Liao, M. A. Fiddy, and C. L. Byrne, "Imaging from the zero locations of far-field intensity data," J. Opt. Soc. Am. A 14, 3155-3161 (1997).

[CrossRef]

C. L. Byrne and M. A. Fiddy, "Images as power spectra; reconstruction as Wiener filter approximation," Inverse Probl. 4, 399-409 (1988).

[CrossRef]

C. L. Byrne and M. A. Fiddy, "Estimation of continuous object distributions from Fourier magnitude measurements," J. Opt. Soc. Am. A 4, 412-417 (1987).

[CrossRef]

J. C. Dainty and M. A. Fiddy, "The essential role of prior knowledge in phase retrieval," Opt. Acta 31, 325-330 (1984).

[CrossRef]

C. L. Byrne, R. M. Fitzgerald, M. A. Fiddy, T. J. Hall, and A. M. Darling, "Image restoration and resolution enhancement," J. Opt. Soc. Am. 73, 1481-1487 (1983).

[CrossRef]

M. A. Fiddy, "The phase retrieval problem," in Inverse Optics, A. Devaney, ed., Proc. SPIE 413, 176-181 (1983).

H. M. Shieh, M. E. Testorf, C. L. Byrne, and M. A. Fiddy, "Iterative image reconstruction using prior knowledge," submitted to J. Opt. Soc. Am. A.

J. Cederquist, J. Fienup, C. Wackerman, S. Robinson, and D. Kryskowski, "Wave-front phase estimation from Fourier intensity measurements," J. Opt. Soc. Am. A 6, 1020-1026 (1989).

[CrossRef]

J. Fienup, "Reconstruction of a complex-valued object from the modulus of its Fourier transform using a support constraint," J. Opt. Soc. Am. A 4, 118-123 (1987).

[CrossRef]

J. Fienup, "Space object imaging through the turbulent atmosphere," Opt. Eng. (Bellingham) 18, 529-534 (1979).

C. L. Byrne and R. M. Fitzgerald, "Spectral estimators that extend the maximum entropy and maximum likelihood methods," SIAM J. Appl. Math. 44, 425-442 (1984).

[CrossRef]

C. L. Byrne, R. M. Fitzgerald, M. A. Fiddy, T. J. Hall, and A. M. Darling, "Image restoration and resolution enhancement," J. Opt. Soc. Am. 73, 1481-1487 (1983).

[CrossRef]

C. L. Byrne and R. M. Fitzgerald, "Reconstruction from partial information, with applications to tomography," SIAM J. Appl. Math. 42, 933-940 (1982).

[CrossRef]

C. L. Byrne and R. M. Fitzgerald, "A unifying model for spectrum estimation," presented at the Rome Air Development Center Workshop on Spectrum Estimation, Griffiss Air Force Base, Rome, New York, October 3-5, 1979.

R. W. Gerchberg, "Super-restoration through error energy reduction," Opt. Acta 21, 709-720 (1974).

[CrossRef]

R. Gordon, R. Bender, and G. T. Herman, "Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography," J. Theor. Biol. 29, 471-481 (1970).

[CrossRef]
[PubMed]

R. Gordon, R. Bender, and G. T. Herman, "Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography," J. Theor. Biol. 29, 471-481 (1970).

[CrossRef]
[PubMed]

R. Lane, "Recovery of complex images from Fourier magnitude," Opt. Commun. 63, 6-10 (1987).

[CrossRef]

A. Papoulis, "A new algorithm in spectral analysis and band-limited extrapolation," IEEE Trans. Circuits Syst. 22, 735-742 (1975).

[CrossRef]

T. Poggio and S. Smale, "The mathematics of learning: dealing with data," Not. Am. Math. Soc. 50, 537-544 (2003).

H. M. Shieh, M. E. Testorf, C. L. Byrne, and M. A. Fiddy, "Iterative image reconstruction using prior knowledge," submitted to J. Opt. Soc. Am. A.

T. Poggio and S. Smale, "The mathematics of learning: dealing with data," Not. Am. Math. Soc. 50, 537-544 (2003).

H. Stark and Y. Yang, Vector Space Projections: A Numerical Approach to Signal and Image Processing, Neural Nets and Optics (Wiley, 1998).

[PubMed]

H. M. Shieh, M. E. Testorf, C. L. Byrne, and M. A. Fiddy, "Iterative image reconstruction using prior knowledge," submitted to J. Opt. Soc. Am. A.

H. Stark and Y. Yang, Vector Space Projections: A Numerical Approach to Signal and Image Processing, Neural Nets and Optics (Wiley, 1998).

[PubMed]

J. Burg, "The relationship between maximum entropy spectra and maximum likelihood spectra," Geophysics 37, 375-376 (1972).

[CrossRef]

A. Papoulis, "A new algorithm in spectral analysis and band-limited extrapolation," IEEE Trans. Circuits Syst. 22, 735-742 (1975).

[CrossRef]

C. L. Byrne, "Iterative image reconstruction algorithms based on cross-entropy minimization," IEEE Trans. Image Process. IP-2, 96-103 (1993).

[CrossRef]

C. L. Byrne, "Erratum and addendum to 'Iterative image reconstruction algorithms based on cross-entropy minimization'," IEEE Trans. Image Process. IP-4, 225-226 (1995).

C. L. Byrne and M. A. Fiddy, "Images as power spectra; reconstruction as Wiener filter approximation," Inverse Probl. 4, 399-409 (1988).

[CrossRef]

H. Cox, "Resolving power and sensitivity to mismatch of optimum array processors," J. Acoust. Soc. Am. 54, 771-785 (1973).

[CrossRef]

C. L. Byrne and M. A. Fiddy, "Estimation of continuous object distributions from Fourier magnitude measurements," J. Opt. Soc. Am. A 4, 412-417 (1987).

[CrossRef]

C.-W. Liao, M. A. Fiddy, and C. L. Byrne, "Imaging from the zero locations of far-field intensity data," J. Opt. Soc. Am. A 14, 3155-3161 (1997).

[CrossRef]

J. Fienup, "Reconstruction of a complex-valued object from the modulus of its Fourier transform using a support constraint," J. Opt. Soc. Am. A 4, 118-123 (1987).

[CrossRef]

J. Cederquist, J. Fienup, C. Wackerman, S. Robinson, and D. Kryskowski, "Wave-front phase estimation from Fourier intensity measurements," J. Opt. Soc. Am. A 6, 1020-1026 (1989).

[CrossRef]

R. Gordon, R. Bender, and G. T. Herman, "Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography," J. Theor. Biol. 29, 471-481 (1970).

[CrossRef]
[PubMed]

T. Poggio and S. Smale, "The mathematics of learning: dealing with data," Not. Am. Math. Soc. 50, 537-544 (2003).

R. W. Gerchberg, "Super-restoration through error energy reduction," Opt. Acta 21, 709-720 (1974).

[CrossRef]

J. C. Dainty and M. A. Fiddy, "The essential role of prior knowledge in phase retrieval," Opt. Acta 31, 325-330 (1984).

[CrossRef]

R. Lane, "Recovery of complex images from Fourier magnitude," Opt. Commun. 63, 6-10 (1987).

[CrossRef]

J. Fienup, "Space object imaging through the turbulent atmosphere," Opt. Eng. (Bellingham) 18, 529-534 (1979).

C. L. Byrne and R. M. Fitzgerald, "Spectral estimators that extend the maximum entropy and maximum likelihood methods," SIAM J. Appl. Math. 44, 425-442 (1984).

[CrossRef]

C. L. Byrne and R. M. Fitzgerald, "Reconstruction from partial information, with applications to tomography," SIAM J. Appl. Math. 42, 933-940 (1982).

[CrossRef]

J. Burg, "Maximum entropy spectral analysis," presented at the 37th Annual Society of Exploration Geophysicists Meeting, Oklahoma City, Oklahoma, July 1967.

J. Burg, "Maximum Entropy Spectral Analysis," Ph.D. thesis (Stanford University, Stanford, California,1975).

M. Bertero, "Sampling theory, resolution limits and inversion methods," in Inverse Problems in Scattering and Imaging, M.Bertero and E.R.Pike, eds. (Malvern Physics Series, Adam Hilger, IOP Publishing, 1992), pp. 71-94.

C. L. Byrne and R. M. Fitzgerald, "A unifying model for spectrum estimation," presented at the Rome Air Development Center Workshop on Spectrum Estimation, Griffiss Air Force Base, Rome, New York, October 3-5, 1979.

H. Stark and Y. Yang, Vector Space Projections: A Numerical Approach to Signal and Image Processing, Neural Nets and Optics (Wiley, 1998).

[PubMed]

M. A. Fiddy, "The phase retrieval problem," in Inverse Optics, A. Devaney, ed., Proc. SPIE 413, 176-181 (1983).

H. M. Shieh, M. E. Testorf, C. L. Byrne, and M. A. Fiddy, "Iterative image reconstruction using prior knowledge," submitted to J. Opt. Soc. Am. A.

C. L. Byrne, Signal Processing: A Mathematical Approach (AK Peters, 2005).