Please use this identifier to cite or link to this item: doi:10.22028/D291-26145
Title: Efficient implementation of "optimal" algorithms in computerized tomography
Author(s): Natterer, Frank
Language: English
Year of Publication: 1979
OPUS Source: Saarbrücken, 1979
DDC notations: 004 Computer science, internet
Publikation type: Report
Abstract: We describe three optimal algorithms for the reconstruction of a function in mathbb{R}^{2} from a finite number of line or strip integrals: Optimal recovery, Bayes estimate, Tikhonov-Phillips method. In the case of a rotationally invariant scanning geometry we show that the resulting linear system is a bloc-cyclic convolution. This observation leads to algorithms which are roughly as efficient as filtered backprojection which is one of the standard methods. The algorithms can be applied to the case of hollow and truncated projections. Numerical examples are given.
Link to this record: urn:nbn:de:bsz:291-scidok-42176
Date of registration: 7-Sep-2011
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Informatik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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