The Ill-Conditioned Nature of the Limited Angle Tomography Problem
Author:
- Mark E. DavisonMDMark E. Davison
- 1 April 1983
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Applied Mathematics
- Vol. 43 (2) , 428-448
Abstract
The instability of inverting the limited angle Radon transform is studied by constructing the singular value decomposition of this operator. Connections are established with previously known series expansions and with the discrete prolate spheroidal wave functions. Mollification methods are shown to delay, but not prevent, the onset of instability as the angular range of projections is decreased.Keywords
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