Limited-angle tomography via multiresolution analysis and oversampling

Tim E. Olson

doi:10.1117/12.146602

23 June 1993 Limited-angle tomography via multiresolution analysis and oversampling

Tim E. Olson

Proceedings Volume 2035, Mathematical Methods in Medical Imaging II; (1993) https://doi.org/10.1117/12.146602
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

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.

Citation Download Citation

Tim E. Olson "Limited-angle tomography via multiresolution analysis and oversampling", Proc. SPIE 2035, Mathematical Methods in Medical Imaging II, (23 June 1993); https://doi.org/10.1117/12.146602

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