Three-Dimensional Reconstruction from Projections: A Review of Algorithms

Richard Gordon; Gabor T. Herman

doi:10.1117/12.954020

1 February 1975 Three-Dimensional Reconstruction from Projections: A Review of Algorithms

Richard Gordon, Gabor T. Herman

Proceedings Volume 0047, Application of Optical Instrumentation in Medicine III; (1975) https://doi.org/10.1117/12.954020
Event: Application of Optical Instrumentation in Medicine III, 1974, Kansas City, United States

Abstract

The problem of reconstructing three-dimensional objects from a set of two-dimensional projected images has arisen and been solved independently in fields ranging from medicine and electron microscopy to holographic interferometry. By using a source of radiation external to the object, we obtain a transmission picture or projection of the three-dimensional object onto a two-dimensional surface such as the film of an ordinary electron micrograph or x-ray. The reconstruction problem is: Given a subset of all possible projections of an object, estimate its internal density distribution.

Citation Download Citation

Richard Gordon and Gabor T. Herman "Three-Dimensional Reconstruction from Projections: A Review of Algorithms", Proc. SPIE 0047, Application of Optical Instrumentation in Medicine III, (1 February 1975); https://doi.org/10.1117/12.954020

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