Journal ArticleDOI
ART: Mathematics and applications a report on the mathematical foundations and on the applicability to real data of the algebraic reconstruction techniques
TLDR
In this paper, the algebraic reconstruction techniques (ART) for reconstructing objects from their projections (e.g. electron micrographs) are discussed and some generalizations of previously published ART algorithms are given.About:
This article is published in Journal of Theoretical Biology.The article was published on 1973-11-05. It has received 298 citations till now. The article focuses on the topics: Projection (set theory).read more
Citations
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Simultaneous algebraic reconstruction technique (SART): a superior implementation of the art algorithm.
TL;DR: This implementation of the Algebraic Reconstruction Technique appears to have a computational advantage over the more traditional implementation of ART and potential applications include image reconstruction in conjunction with ray tracing for ultrasound and microwave tomography.
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Concurrent MRI and diffuse optical tomography of breast after indocyanine green enhancement
TL;DR: It is found that DOT provides for localization and quantification of exogenous tissue chromophore concentrations and the use of ICG, an albumin bound absorbing dye in plasma, demonstrates the potential to differentiate disease based on the quantified enhancement of suspicious lesions.
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X-ray computed tomography
TL;DR: This review of CT will proceed in chronological order focussing on technology, image quality and clinical applications, and briefly allude to novel uses of CT such as dual-source CT, C-arm flat-panel-detector CT and micro-CT.
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Computerized geophysical tomography
Kris A. Dines,R.J. Lytle +1 more
TL;DR: In this paper, the spatial distribution of attenuation or propagation velocity is calculated from line integrals along rays in the plane between boreholes, and displayed as a digital picture, and the performance of the reconstruction algorithm is demonstrated using computer generated data and it is then applied to experimental data collected by continuous-wave electromagnetic transmission probing.
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Inverse theory applied to multi‐source cross‐hole tomography.: part 1: acoustic wave‐equation method1
TL;DR: In this article, the use of high speed, high capacity vector computers allows the resultant finite-difference equations to be factored in-place, allowing inversions to be generated using data from a very large number of source positions.
References
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Journal ArticleDOI
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.
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Representation of a Function by Its Line Integrals, with Some Radiological Applications
TL;DR: In this paper, a method for finding a real function in a finite region of a plane given its line integrals along all straight lines intersecting the region was given, and the solution found is applicable to three problems of interest for precise radiology and radiotherapy: (1) the determination of a variable x-ray absorption coefficient in two dimensions, (2) the distribution of positron annihilations when there is an inhomogeneous distribution of the positron emitter in matter, and (3) a variable density of matter with constant chemical composition, using the energy loss
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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.
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Inversion of Fan-Beam Scans in Radio Astronomy
Ronald N. Bracewell,A. C. Riddle +1 more
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The Relaxation Method for Linear Inequalities
TL;DR: In various numerical problems one is confronted with the task of solving a system of linear inequalities: (1.1) (i = 1, …,m) assuming, of course, that the above system is consistent as mentioned in this paper.