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论文类型：期刊论文

发表时间：2010-04-01

发表刊物：IMAGE AND VISION COMPUTING

收录刊物：SCIE、EI、Scopus

卷号：28

期号：4

页面范围：696-703

ISSN号：0262-8856

关键字：Limited angle tomography; Ill-posed inverse problem; Adaptive wavelet-Galerkin method

摘要：This paper studied incomplete data problems of computed tomography that frequently occur in medical or industrial imaging, for example, when the high-density region of objects can only be penetrated by Xrays at a limited angular range. When projection data are available only in an angular range, the incomplete data problem can be attributed to the limited angle problem, which is a severely ill-posed inverse problem. In this paper, a numerical method for the treatment of inverse problems based on an adaptive wavelet-Galerkin method is introduced and investigated. The paper focuses especially on how to avoid inverse crimes in numerical simulations. The method used here combines numerical simplicity and characteristics of adapting to the unknown smoothness of a reconstructed image, which leads to significant reduction in the Computational cost. The reconstruction strategy has a comparable performance with a significant reduction in computational time. Crown Copyright (C) 2009 Published by Elsevier B.V. All rights reserved.