OPED reconstruction algorithm for limited angle problem

Details OPED reconstruction algorithm for limited angle problem OPED reconstruction algorithm for limited angle problem

2008-10-09

arxiv.org/abs/0810.1705v2

Mathematics

Numerical Analysis

17 pages

Scientific paper

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.

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