OPED reconstruction algorithm for limited angle problem

被引：3

作者：

Xu, Y. ^{[1
]}

Tischenko, O. ^{[2
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

[2] German Res Ctr Environm Hlth, Helmholtz Zentrum Munchen GmbH, Inst Radiat Protect, D-85764 Neuherberg, Germany

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2009年 / 17卷 / 08期

关键词：

Reconstruction of images; algorithms; limited angle problem; RAY COMPUTERIZED-TOMOGRAPHY; INCOMPLETE DATA PROBLEMS; INTERPOLATION;

D O I：

10.1515/JIIP.2009.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：795 / 813

页数：19

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