OPED reconstruction algorithm for limited angle problem

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Xu, Yuan
Tischenko, Oleg
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Abstract
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The structure of the reconstruction algorithm OPED permits a natural way to generate additional data, while still preserving the essential feature of the algorithm. This provides a method for image reconstruction for limited angel problems. In stead of completing the set of data, the set of discrete sine transforms of the data is completed. This is achieved by solving systems of linear equations that have, upon choosing appropriate parameters, positive definite coefficient matrices. Numerical examples are presented.
Comment: 17 pages
Keywords
Mathematics - Numerical Analysis, 42B08, 44A12, 65R32
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