文章基本信息

标题：A General Total Variation Minimization Theorem for Compressed Sensing Based Interior Tomography
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作者：Weimin Han ; Hengyong Yu ; Ge Wang 等
期刊名称：International Journal of Biomedical Imaging
印刷版ISSN：1687-4188
电子版ISSN：1687-4196
出版年度：2009
卷号：2009
DOI：10.1155/2009/125871
出版社：Hindawi Publishing Corporation
摘要：Recently, in the compressed sensing framework we found that a two-dimensional interior region-of-interest (ROI) can be exactly reconstructed via the total variation minimization if the ROI is piecewise constant (Yu and Wang, 2009). Here we present a general theorem charactering a minimization property for a piecewise constant function defined on a domain in any dimension. Our major mathematical tool to prove this result is functional analysis without involving the Dirac delta function, which was heuristically used by Yu and Wang (2009).