Three-dimensional Image Reconstruction from the Viewpoint of information Theory

Criteria are given for obtaining maximum information from a set of projections of a general object while preventing the introduction of spurious detail by effects which are beyond resolution.

[1]  G. D. Francia Resolving Power and Information , 1955 .

[2]  K. Miyamoto On Gabor’s Expansion Theorem* , 1960 .

[3]  D. Slepian,et al.  Prolate spheroidal wave functions, fourier analysis and uncertainty — II , 1961 .

[4]  A. Cormack Representation of a Function by Its Line Integrals, with Some Radiological Applications , 1963 .

[5]  D. Slepian Prolate spheroidal wave functions, Fourier analysis and uncertainty — IV: Extensions to many dimensions; generalized prolate spheroidal functions , 1964 .

[6]  J. L. Harris,et al.  Diffraction and Resolving Power , 1964 .

[7]  C. W. Barnes Object Restoration in a Diffraction-Limited Imaging System , 1966 .

[8]  A. C. Riddle,et al.  Inversion of Fan-Beam Scans in Radio Astronomy , 1967 .

[9]  R. Crowther A linear analysis of the non-crystallographic symmetry problem , 1967 .

[10]  J. Taylor Two-Dimensional Brightness Distributions of Radio Sources from Lunar Occultation Observations , 1967 .

[11]  C. Helstrom Image Restoration by the Method of Least Squares , 1967 .

[12]  C. K. Rushforth,et al.  Restoration, Resolution, and Noise , 1968 .

[13]  D. J. De Rosier,et al.  Reconstruction of Three Dimensional Structures from Electron Micrographs , 1968, Nature.

[14]  G. D. Francia Degrees of Freedom of Image , 1969 .

[15]  D. DeRosier,et al.  The reconstruction of a three-dimensional structure from projections and its application to electron microscopy , 1970, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[16]  A. Klug,et al.  Three Dimensional Reconstructions of Spherical Viruses by Fourier Synthesis from Electron Micrographs , 1970, Nature.

[17]  G. Herman,et al.  Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography. , 1970, Journal of theoretical biology.

[18]  D. DeRosier,et al.  Reconstruction of three-dimensional images from electron micrographs of structures with helical symmetry. , 1970, Journal of molecular biology.

[19]  W. Hoppe,et al.  Principles of electron structure research at atomic resolution using conventional electron microscopes for the measurement of amplitudes and phases , 1970 .

[20]  D. DeRosier,et al.  Three-dimensional reconstruction of F-actin, thin filaments and decorated thin filaments. , 1970, Journal of molecular biology.

[21]  A. Klug Optical Diffraction and Filtering and Three-Dimensional Reconstructions from Electron Micrographs , 1971 .

[22]  A. Klug,et al.  ART and science or conditions for three-dimensional reconstruction from electron microscope images. , 1971, Journal of theoretical biology.

[23]  R. Crowther,et al.  Procedures for three-dimensional reconstruction of spherical viruses by Fourier synthesis from electron micrographs. , 1971, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[24]  G. N. Ramachandran,et al.  Three-dimensional reconstruction from radiographs and electron micrographs: application of convolutions instead of Fourier transforms. , 1971, Proceedings of the National Academy of Sciences of the United States of America.

[25]  P. Gilbert The reconstruction of three-dimensional structure from projections and its application to electron microscopy II. Direct methods , 1972, Proceedings of the Royal Society of London. Series B. Biological Sciences.