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Proceedings Paper

Three-Dimensional Image Reconstruction From Planar Projections With Application To Optical Data Processing
Author(s): Harrison H. Barrett
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Paper Abstract

Abstract. The term planar projection refers to the integral of a three-dimensional (3-D) function over a plane, as opposed to the line integrals that form the basic data set of computed tomography. Planar projections arise naturally in nuclear imaging when a slit aperture is used, in imaging with nuclear spin resonance, and in time-domain scattering studies. If an appropriate set of translations and rotations of the plane of integration is carried out, a complete data set is generated and a reconstruction of the 3-D object is possible. Various reconstruction algorithms are discussed and compared to the more familiar case of computed tomography. Another potential application of planar projections is in general 3-D data processing, where it should be useful to preprocess the data by generating a set of planar integrals, even if the original data have nothing to do with projections. This has the effect of reducing 3-D operations such as convolutions and correlations to one-dimensional (1-D) operations, which are more readily performed. After a subsequent reconstruction from the filtered projections, the final 3-D result is equivalent to that which would have been obtained by 3-D operations. Several incoherent optical systems for performing the projection and reconstruction operations are described.

Paper Details

Date Published: 27 February 1984
PDF: 12 pages
Proc. SPIE 0373, Transformations in Optical Signal Processing, (27 February 1984); doi: 10.1117/12.934547
Show Author Affiliations
Harrison H. Barrett, Universitat Erlangen-Nurnberg (Federal Republic of Germany)

Published in SPIE Proceedings Vol. 0373:
Transformations in Optical Signal Processing
William T. Rhodes; James R. Fienup; Bahaa Saleh, Editor(s)

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