Journal Article10.1016/0146-664X(73)90025-7
Three methods for reconstructing objects from x rays: A comparative study
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TL;DR: Three algorithms for reconstructing objects from their projections are compared, useful in locating the position and shape of tumors from X rays taken of a patient and in finding the structure of viruses and macromolecules from electron micrographs.
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About: This article is published in Computer Graphics and Image Processing. The article was published on 01 Oct 1973.
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Citations
Iterative reconstruction algorithms.
TL;DR: A set of optimization criteria and a number of iterative reconstruction algorithms are stated, together with theorems on the convergence of the algorithms to optimum images and the efficacy of the algorithm is compared to that of the convolution method.
506
Reconstruction algorithms: Transform methods
R.M. Lewitt
- 01 Mar 1983
TL;DR: In this paper, the inversion formula for the case of 2D reconstruction from line integrals is manipulated into a number of different forms, each of which may be discretized to obtain different algorithms for reconstruction from sampled data.
419
Reconstructive tomography and applications to ultrasonics
R. K. Mueller,Mostafa Kaveh,G. Wade +2 more
- 01 Apr 1979
TL;DR: Several methods of ultrasonic tomography are discussed in this article, including methods based on geometric optics and a Doppler-oriented approach, and a major portion of the paper is concerned with introducing ways to take into account diffraction effects.
415
Theory of image reconstruction in computed tomography.
TL;DR: In this article, the most important procedures are classified as Back-projection, iterative, and analytical (Two-dimensional Fourier, Filtered Back-Projection) techniques.
319
Structural Analysis of Macromolecular Assemblies by Electron Microscopy
Elena V. Orlova,Helen R. Saibil +1 more
TL;DR: Electron microscopy has become a major tool for structural biology over the molecular to cellular size range and major developments in instrumentation and methods have advanced the study of single particles in vitrified solution as well as in 3D reconstruction by tomography of irregular objects such as cells or subcellular structures.
References
Algebraic Reconstruction Techniques (ART) for three-dimensional electron microscopy and X-ray photography
TL;DR: The method works for totally asymmetric objects, and requires little computer time or storage, and is also applicable to X-ray photography, and may greatly reduce the exposure compared to current methods of body-section radiography.
2.9K
Iterative methods for the three-dimensional reconstruction of an object from projections
TL;DR: It is shown that in general ART produces erroneous reconstructions, and an alternative iterative method is proposed which will give correct reconstructions under certain conditions.
1.4K
Three-dimensional Reconstruction from Radiographs and Electron Micrographs: Application of Convolutions instead of Fourier Transforms
TL;DR: Tests of the convolution method with computer-simulated shadowgraphs show that it is also more accurate than the Fourier transform method, and has good potentialities for application in electron microscopy and x-radiography.
1K
Resolution in reconstructing objects from electron micrographs
Gideon Frieder,Gabor T. Herman +1 more
TL;DR: It is proved that interesting images cannot be uniquely described by any finite number of projections, and thus any reconstruction technique can only hope to give an approximation to the original.
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