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Proceedings Paper

Direct Reconstruction Of Three Dimensional Image From Its Line Integrals
Author(s): Atsushi Imiya; Hidemitsu Ogawa
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Paper Abstract

This paper proposes a series expansion method for the direct reconstruction of a three dimensional image from its line integrals. We clarify a relation between line integrals and plane integrals of a three dimensional image. The relation yields a pair of basis functions in the image space and the projection space. The basis functions are similar to the singular functions of the Radon transformation. Since projection data are practically obtainable along a finite number of beams, we also propose a reconstruction formula which is expressed by a finite sum of products of sampled radiographs and a set of functions. The present reconstruction method is applicable to any incomplete projections and any scanning modes.

Paper Details

Date Published: 1 January 1986
PDF: 8 pages
Proc. SPIE 0671, Physics and Engineering of Computerized Multidimensional Imaging and Processing, (1 January 1986); doi: 10.1117/12.966676
Show Author Affiliations
Atsushi Imiya, Kanazawa University (Japan)
Hidemitsu Ogawa, Tokyo Institute of Technology (Japan)


Published in SPIE Proceedings Vol. 0671:
Physics and Engineering of Computerized Multidimensional Imaging and Processing
Thomas F. Budinger; Zang-Hee Cho; Orhan Nalcioglu, Editor(s)

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