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Proceedings Paper

Limited-angle tomography via multiresolution analysis and oversampling
Author(s): Tim E. Olson
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Paper Abstract

In this paper we present a method for reconstructing a function f : R2 yields R from limited angle Fourier data. This problem is motivated by the limited angle tomography problem, which arises when physical limitations on the system prohibit the gathering of tomographic data at certain angles. The first portion of this paper we decompose the limited angle operator into a tensor product form which enables the computation of its inverse. The second portion of the paper uses a multiresolution analysis to mollify the problem and provide the inverse solution. It is shown that the proposed algorithm significantly outperforms the singular value decomposition of the operator.

Paper Details

Date Published: 23 June 1993
PDF: 13 pages
Proc. SPIE 2035, Mathematical Methods in Medical Imaging II, (23 June 1993); doi: 10.1117/12.146602
Show Author Affiliations
Tim E. Olson, Dartmouth College (United States)

Published in SPIE Proceedings Vol. 2035:
Mathematical Methods in Medical Imaging II
Joseph N. Wilson; David C. Wilson, Editor(s)

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