T. R. Crimmins, “Phase retrieval for discrete functions with support constraints,” J. Opt. Soc. Am. A 4, 124–134 (1987).

[CrossRef]

J. R. 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]

G. Yang, L. Wang, B. Dong, B. Gu, “On the amplitude-phase retrieval problem in an optical system involved nonunitary transformation,” Optik 75, 68–74 (1987).

R. H. T. Bates, W. R. Fright, “Composite two-dimensional phase-restoration procedure,” J. Opt. Soc. Am. 73, 358–365 (1983).

[CrossRef]

J. Ximen, J. Yan, “Computational trials for phase retrieval in electron microscopy from image and diffraction patterns,” Acta Phys. Sin. 32, 762–769 (1983).

T. R. Crimmins, J. R. Fienup, “Uniqueness of phase retrieval for functions with sufficiently disconnected support,” J. Opt. Soc. Am. 73, 218–221 (1983).

[CrossRef]

J. R. Fenup, T. R. Crimmins, W. Holsztynski, “Reconstruction of the support of an object from the support of its autocorrelation,” J. Opt. Soc. Am. 72, 610–624 (1982).

[CrossRef]

C. H. Slump, H. A. Ferwerda, “Statistical analysis of low-dose reconstruction of weak phase-amplitude objects from two defocused images. I.,” Optik 62, 93–104 (1982).

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

[CrossRef]
[PubMed]

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

G. Yang, B. Gu, “On the amplitude-phase retrieval problem in the optical system,” Acta Phys. Sin. 30, 410–413 (1981).

A. M. J. Huiser, P. Van Toorn, H. A. Ferwerda, “On the problem of phase retrieval in electron microscopy from image and diffraction pattern. III. The development of an algorithm,” Optik 47, 1–8 (1977).

P. Van Toorn, H. A. Ferwerda, “On the problem of phase retrieval in electron microscopy from image and diffraction pattern. IV. Checking of algorithm by means of simulated objects,” Optik 47, 123–134 (1977).

H. A. Ferwerda, B. J. Hoenders, A. M. J. Huiser, P. Van Toorn, “On the phase reconstruction problem in light and electron microscopy,” Photogr. Sc. Eng. 21, 282–289 (1977).

B. J. Hoenders, “On the solution of the phase retrieval problem,” Proc. R. Soc. London Ser. A 350, 191–212 (1976).

R. W. Gerchberg, “Superresolution through error energy reduction,” Opt. Acta 21, 709–720 (1974).

[CrossRef]

R. W. Gerchberg, W. O. Saxton, “Comment on ‘A method for the solution of the phase problem in electron microscopy,’” J. Phys. D 6, L31–L32 (1973);“A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

[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, W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 227–246 (1972).

R. W. Gerchberg, W. O. Saxton, “Phase determination for image and diffraction plane pictures in the electron microscope,” Optik 34, 275–284 (1971).

E. L. O'Neill, A. Walther, “The question of phase in image formation,” Opt. Acta 10, 33–40 (1963).

[CrossRef]

R. H. Boucher, “Convergence of algorithm for phase retrieval from two intensity distributions,” in 1980 International Optical Computing Conference I, W. T. Rhodes, ed., Proc. Soc. Photo-Opt. Instrum. Eng.231, 130–141 (1980).

T. R. Crimmins, “Phase retrieval for discrete functions with support constraints,” J. Opt. Soc. Am. A 4, 124–134 (1987).

[CrossRef]

T. R. Crimmins, J. R. Fienup, “Uniqueness of phase retrieval for functions with sufficiently disconnected support,” J. Opt. Soc. Am. 73, 218–221 (1983).

[CrossRef]

J. R. Fenup, T. R. Crimmins, W. Holsztynski, “Reconstruction of the support of an object from the support of its autocorrelation,” J. Opt. Soc. Am. 72, 610–624 (1982).

[CrossRef]

G. Yang, L. Wang, B. Dong, B. Gu, “On the amplitude-phase retrieval problem in an optical system involved nonunitary transformation,” Optik 75, 68–74 (1987).

B. Gu, G. Yang, B. Dong, “General theory for performing an optical transform,” Appl. Opt. 25, 3197–3206 (1986).

[CrossRef]
[PubMed]

G. Yang, B. Gu, B. Dong, “Theory of the amplitude-phase retrieval in any linear transform system and its applications,” in Inverse Problems in Scattering and Imaging, M. A. Fiddy, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1767, 457–479 (1992).

C. H. Slump, H. A. Ferwerda, “Statistical analysis of low-dose reconstruction of weak phase-amplitude objects from two defocused images. I.,” Optik 62, 93–104 (1982).

A. M. J. Huiser, P. Van Toorn, H. A. Ferwerda, “On the problem of phase retrieval in electron microscopy from image and diffraction pattern. III. The development of an algorithm,” Optik 47, 1–8 (1977).

P. Van Toorn, H. A. Ferwerda, “On the problem of phase retrieval in electron microscopy from image and diffraction pattern. IV. Checking of algorithm by means of simulated objects,” Optik 47, 123–134 (1977).

H. A. Ferwerda, B. J. Hoenders, A. M. J. Huiser, P. Van Toorn, “On the phase reconstruction problem in light and electron microscopy,” Photogr. Sc. Eng. 21, 282–289 (1977).

H. A. Ferwerda, “The phase reconstruction problem for wave amplitudes and coherence functions,” in Inverse Source Problems in Optics, H. P. Baltes, ed. (Springer-Verlag, New York, 1978), pp. 13–19.

[CrossRef]

J. R. 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]

T. R. Crimmins, J. R. Fienup, “Uniqueness of phase retrieval for functions with sufficiently disconnected support,” J. Opt. Soc. Am. 73, 218–221 (1983).

[CrossRef]

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

[CrossRef]
[PubMed]

J. R. Fienup, “Reconstruction and synthesis applications of an iterative algorithm,” in Transformations in Optical Signal Processing, W. T. Rhodes, ed., Proc. Soc. Photo-Opt. Instrum. Eng.373, 147–160 (1981).

R. W. Gerchberg, “Superresolution through error energy reduction,” Opt. Acta 21, 709–720 (1974).

[CrossRef]

R. W. Gerchberg, W. O. Saxton, “Comment on ‘A method for the solution of the phase problem in electron microscopy,’” J. Phys. D 6, L31–L32 (1973);“A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

[CrossRef]

R. W. Gerchberg, W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 227–246 (1972).

R. W. Gerchberg, W. O. Saxton, “Phase determination for image and diffraction plane pictures in the electron microscope,” Optik 34, 275–284 (1971).

R. W. Gerchberg, W. O. Saxton, “Wave phase from image and diffraction plane pictures,” in Image Processing and Computer-Aided Design in Electron Optics, P. W. Hawkes, ed. (Academic, New York, 1973), pp. 66–81.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).

G. Yang, L. Wang, B. Dong, B. Gu, “On the amplitude-phase retrieval problem in an optical system involved nonunitary transformation,” Optik 75, 68–74 (1987).

B. Gu, G. Yang, B. Dong, “General theory for performing an optical transform,” Appl. Opt. 25, 3197–3206 (1986).

[CrossRef]
[PubMed]

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

G. Yang, B. Gu, “On the amplitude-phase retrieval problem in the optical system,” Acta Phys. Sin. 30, 410–413 (1981).

G. Yang, B. Gu, B. Dong, “Theory of the amplitude-phase retrieval in any linear transform system and its applications,” in Inverse Problems in Scattering and Imaging, M. A. Fiddy, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1767, 457–479 (1992).

H. A. Ferwerda, B. J. Hoenders, A. M. J. Huiser, P. Van Toorn, “On the phase reconstruction problem in light and electron microscopy,” Photogr. Sc. Eng. 21, 282–289 (1977).

B. J. Hoenders, “On the solution of the phase retrieval problem,” Proc. R. Soc. London Ser. A 350, 191–212 (1976).

H. A. Ferwerda, B. J. Hoenders, A. M. J. Huiser, P. Van Toorn, “On the phase reconstruction problem in light and electron microscopy,” Photogr. Sc. Eng. 21, 282–289 (1977).

A. M. J. Huiser, P. Van Toorn, H. A. Ferwerda, “On the problem of phase retrieval in electron microscopy from image and diffraction pattern. III. The development of an algorithm,” Optik 47, 1–8 (1977).

E. Kreyszig, Introductory Functional Analysis with Applications (Wiley, New York, 1986).

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

[CrossRef]

D. L. Misell, “The phase problem in electron microscopy,” in Advances in Optical and Electron Microscopy, V. E. Cosslett, R. Barber, eds. (Academic, London, 1978), Vol. 7, pp. 185–276.

E. L. O'Neill, A. Walther, “The question of phase in image formation,” Opt. Acta 10, 33–40 (1963).

[CrossRef]

R. W. Gerchberg, W. O. Saxton, “Comment on ‘A method for the solution of the phase problem in electron microscopy,’” J. Phys. D 6, L31–L32 (1973);“A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

[CrossRef]

R. W. Gerchberg, W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 227–246 (1972).

R. W. Gerchberg, W. O. Saxton, “Phase determination for image and diffraction plane pictures in the electron microscope,” Optik 34, 275–284 (1971).

W. O. Saxton, Computer Techniques for Image Processing in Electron Microscopy (Academic, New York, 1978).

W. O. Saxton, “Recovery of specimen information for strongly scattering objects,” in Computer Processing of Electron Microscope Image, P. W. Hawkes, ed. (Springer-Verlag, Berlin, 1980), pp. 35–87.

[CrossRef]

R. W. Gerchberg, W. O. Saxton, “Wave phase from image and diffraction plane pictures,” in Image Processing and Computer-Aided Design in Electron Optics, P. W. Hawkes, ed. (Academic, New York, 1973), pp. 66–81.

C. H. Slump, H. A. Ferwerda, “Statistical analysis of low-dose reconstruction of weak phase-amplitude objects from two defocused images. I.,” Optik 62, 93–104 (1982).

A. M. J. Huiser, P. Van Toorn, H. A. Ferwerda, “On the problem of phase retrieval in electron microscopy from image and diffraction pattern. III. The development of an algorithm,” Optik 47, 1–8 (1977).

P. Van Toorn, H. A. Ferwerda, “On the problem of phase retrieval in electron microscopy from image and diffraction pattern. IV. Checking of algorithm by means of simulated objects,” Optik 47, 123–134 (1977).

H. A. Ferwerda, B. J. Hoenders, A. M. J. Huiser, P. Van Toorn, “On the phase reconstruction problem in light and electron microscopy,” Photogr. Sc. Eng. 21, 282–289 (1977).

E. L. O'Neill, A. Walther, “The question of phase in image formation,” Opt. Acta 10, 33–40 (1963).

[CrossRef]

G. Yang, L. Wang, B. Dong, B. Gu, “On the amplitude-phase retrieval problem in an optical system involved nonunitary transformation,” Optik 75, 68–74 (1987).

J. Ximen, J. Yan, “Computational trials for phase retrieval in electron microscopy from image and diffraction patterns,” Acta Phys. Sin. 32, 762–769 (1983).

J. Ximen, J. Yan, “Computational trials for phase retrieval in electron microscopy from image and diffraction patterns,” Acta Phys. Sin. 32, 762–769 (1983).

G. Yang, L. Wang, B. Dong, B. Gu, “On the amplitude-phase retrieval problem in an optical system involved nonunitary transformation,” Optik 75, 68–74 (1987).

B. Gu, G. Yang, B. Dong, “General theory for performing an optical transform,” Appl. Opt. 25, 3197–3206 (1986).

[CrossRef]
[PubMed]

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

G. Yang, B. Gu, “On the amplitude-phase retrieval problem in the optical system,” Acta Phys. Sin. 30, 410–413 (1981).

G. Yang, B. Gu, B. Dong, “Theory of the amplitude-phase retrieval in any linear transform system and its applications,” in Inverse Problems in Scattering and Imaging, M. A. Fiddy, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1767, 457–479 (1992).

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

G. Yang, B. Gu, “On the amplitude-phase retrieval problem in the optical system,” Acta Phys. Sin. 30, 410–413 (1981).

J. Ximen, J. Yan, “Computational trials for phase retrieval in electron microscopy from image and diffraction patterns,” Acta Phys. Sin. 32, 762–769 (1983).

R. H. T. Bates, W. R. Fright, “Composite two-dimensional phase-restoration procedure,” J. Opt. Soc. Am. 73, 358–365 (1983).

[CrossRef]

J. R. Fenup, T. R. Crimmins, W. Holsztynski, “Reconstruction of the support of an object from the support of its autocorrelation,” J. Opt. Soc. Am. 72, 610–624 (1982).

[CrossRef]

T. R. Crimmins, J. R. Fienup, “Uniqueness of phase retrieval for functions with sufficiently disconnected support,” J. Opt. Soc. Am. 73, 218–221 (1983).

[CrossRef]

T. R. Crimmins, “Phase retrieval for discrete functions with support constraints,” J. Opt. Soc. Am. A 4, 124–134 (1987).

[CrossRef]

J. R. 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]

A. Levi, H. Stark, “Image restoration by the method of generalized projections with application to restoration from magnitude,” J. Opt. Soc. Am. A 1, 932–943 (1984).

[CrossRef]

R. Barakat, G. Newsam, “Algorithm for reconstruction of partially known, band-limited Fourier-transform pairs from noisy data,” J. Opt. Soc. Am. A 2, 2027–3039 (1985).

[CrossRef]

I. LaHaie, “Inverse source problem for three-dimensional partially coherent sources and fields,” J. Opt. Soc. Am. A 2, 35–44(1985).

[CrossRef]

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

[CrossRef]

R. W. Gerchberg, W. O. Saxton, “Comment on ‘A method for the solution of the phase problem in electron microscopy,’” J. Phys. D 6, L31–L32 (1973);“A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

[CrossRef]

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

[CrossRef]

E. L. O'Neill, A. Walther, “The question of phase in image formation,” Opt. Acta 10, 33–40 (1963).

[CrossRef]

R. W. Gerchberg, “Superresolution through error energy reduction,” Opt. Acta 21, 709–720 (1974).

[CrossRef]

G. Yang, L. Wang, B. Dong, B. Gu, “On the amplitude-phase retrieval problem in an optical system involved nonunitary transformation,” Optik 75, 68–74 (1987).

R. W. Gerchberg, W. O. Saxton, “Phase determination for image and diffraction plane pictures in the electron microscope,” Optik 34, 275–284 (1971).

R. W. Gerchberg, W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 227–246 (1972).

C. H. Slump, H. A. Ferwerda, “Statistical analysis of low-dose reconstruction of weak phase-amplitude objects from two defocused images. I.,” Optik 62, 93–104 (1982).

A. M. J. Huiser, P. Van Toorn, H. A. Ferwerda, “On the problem of phase retrieval in electron microscopy from image and diffraction pattern. III. The development of an algorithm,” Optik 47, 1–8 (1977).

P. Van Toorn, H. A. Ferwerda, “On the problem of phase retrieval in electron microscopy from image and diffraction pattern. IV. Checking of algorithm by means of simulated objects,” Optik 47, 123–134 (1977).

H. A. Ferwerda, B. J. Hoenders, A. M. J. Huiser, P. Van Toorn, “On the phase reconstruction problem in light and electron microscopy,” Photogr. Sc. Eng. 21, 282–289 (1977).

B. J. Hoenders, “On the solution of the phase retrieval problem,” Proc. R. Soc. London Ser. A 350, 191–212 (1976).

H. A. Ferwerda, “The phase reconstruction problem for wave amplitudes and coherence functions,” in Inverse Source Problems in Optics, H. P. Baltes, ed. (Springer-Verlag, New York, 1978), pp. 13–19.

[CrossRef]

W. O. Saxton, Computer Techniques for Image Processing in Electron Microscopy (Academic, New York, 1978).

W. O. Saxton, “Recovery of specimen information for strongly scattering objects,” in Computer Processing of Electron Microscope Image, P. W. Hawkes, ed. (Springer-Verlag, Berlin, 1980), pp. 35–87.

[CrossRef]

R. W. Gerchberg, W. O. Saxton, “Wave phase from image and diffraction plane pictures,” in Image Processing and Computer-Aided Design in Electron Optics, P. W. Hawkes, ed. (Academic, New York, 1973), pp. 66–81.

D. L. Misell, “The phase problem in electron microscopy,” in Advances in Optical and Electron Microscopy, V. E. Cosslett, R. Barber, eds. (Academic, London, 1978), Vol. 7, pp. 185–276.

R. H. Boucher, “Convergence of algorithm for phase retrieval from two intensity distributions,” in 1980 International Optical Computing Conference I, W. T. Rhodes, ed., Proc. Soc. Photo-Opt. Instrum. Eng.231, 130–141 (1980).

E. Kreyszig, Introductory Functional Analysis with Applications (Wiley, New York, 1986).

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).

G. Yang, B. Gu, B. Dong, “Theory of the amplitude-phase retrieval in any linear transform system and its applications,” in Inverse Problems in Scattering and Imaging, M. A. Fiddy, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1767, 457–479 (1992).

J. R. Fienup, “Reconstruction and synthesis applications of an iterative algorithm,” in Transformations in Optical Signal Processing, W. T. Rhodes, ed., Proc. Soc. Photo-Opt. Instrum. Eng.373, 147–160 (1981).