Algorithms For Reconstruction

The problem of digitally reconstructing the image of the internal structure of an object from measurements of its two dimension-al projections, resulting from transmission of radiation through the object, has been of interest in mathematics, radio-astronomy, and biological sciences for over 50 years. About four years ago this problem suddenly assumed major importance in medical engineering after Houncefield and his associates announced the development of a sophisticated computerized x-ray scanning system capable of reconstructing cross-sectional images (tomograms) of the human head with high tissue-density discrimi-nation capability [23]. This development was heralded as a major breakthrough in diagnostic radiology because it, for the first time, permitted non-invasive visualization of the ventricles of the brain, as well as a large class of brain tumors and injuries. More recent research has demonstrated the success of this type of imaging with other parts of the human body.

[1]  Shi-Kuo Chang,et al.  The Reconstruction of Three-Dimensional Objects from Two Orthogonal Projections and its Application to Cardiac Cineangiography , 1973, IEEE Transactions on Computers.

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

[3]  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.

[4]  B. F. Logan,et al.  The Fourier reconstruction of a head section , 1974 .

[5]  G T Herman,et al.  ART: mathematics and applications. A report on the mathematical foundations and on the applicability to real data of the algebraic reconstruction techniques. , 1973, Journal of theoretical biology.

[6]  Richard Gordon,et al.  Reconstruction of pictures from their projections , 1971, CACM.

[7]  G T Herman,et al.  Resolution in ART. An experimental investigation of the resolving power of an algebraic picture reconstruction technique. , 1971, Journal of theoretical biology.

[8]  R. A. Crowteerandlinda Harmonic Analysis of Electron Microscope Images with Rotational Symmetry , 1971 .

[9]  D. G. Grant Tomosynthesis: a three-dimensional radiographic imaging technique. , 1972, IEEE transactions on bio-medical engineering.

[10]  Norman A. Baily,et al.  Performance Of A Large Screen Fluoroscopic Imaging System , 1974, Other Conferences.

[11]  A. Cormack Reconstruction of densities from their projections, with applications in radiological physics. , 1973, Physics in medicine and biology.

[12]  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.

[13]  M. Berry,et al.  The interpretation of optical projections , 1970, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

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

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

[16]  Gabor T. Herman,et al.  Two direct methods for reconstructing pictures from their projections- A comparative study , 1899 .

[17]  R. M. Mersereau,et al.  Digital reconstruction of multidimensional signals from their projections , 1974 .

[18]  R. L. Crepeau,et al.  The capability of fluoroscopic systems to determine differential roentgen-ray absorption. , 1975, Radiology.

[19]  Russell M. Mersereau Recovering multidimensional signals from their projections , 1973, Comput. Graph. Image Process..

[20]  K. Tanabe Projection method for solving a singular system of linear equations and its applications , 1971 .

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

[22]  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.

[23]  G T Herman,et al.  Three-dimensional visualization of the intact thorax and contents: a technique for cross-sectional reconstruction from multiplanar x-ray views. , 1974, Computers and biomedical research, an international journal.

[24]  T M Peters,et al.  Computer aided transverse body-section radiography. , 1973, The British journal of radiology.

[25]  R. L. Crepeau,et al.  Capabilities of a single scan TV-radiographic system for digital data acquisition. , 1971, Investigative radiology.

[26]  D E Kuhl,et al.  Reorganizing data from transverse section scans of the brain using digital processing. , 1968, Radiology.

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