多结果三值图像多重构(英文)  

Finding All Solutions of Three-Material Image Reconstruction Problem

作　　者：Chuanlin Liu Jeanpierre Guédon 

机构地区：[1]LUNAM Université,Université de Nantes,IRCCyN UMR CNRS 6597 (Institut de Recherche en Communications et Cybernétique de Nantes) ,Polytech Nantes

出　　处：《华南理工大学学报（自然科学版）》2013年第7期114-119,共6页Journal of South China University of Technology(Natural Science Edition)

摘　　要：少量的投影数据不能保证重构的完成,即使所研究的图像内只有3种质地.此前提出的Line Mojette算法能够在少量投影数据状况下完成重构,但仅限于单个且完全精确的重构结构能够得到的状况.为此,文中在Line Mojette算法的基础上,采用树分解来推演出一个名为Tree Line Mojette的算法来对三值图像进行重构,该算法可以在Line Mojette算法不能完成重构的情况下给出所有可能的重构结果.Having very few projections of an image does not guarantee the reconstruction even in the case that the original image is only composed of 3 materials. Although previously developed line Mojette algorithm gives a solution in this case, an unicity is required. In order to solve this problem, based on the line Mojette transfrom, the tree decomposition is used to provide the complete set of solutions from a new algorithm denoted as ＂Tree Line Mojette＂ in the case that the original image contains only 3 materials （3 discrete values）.

关 键 词：三值图像重构 MOJETTE变换 LineMojette变换 树分解 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]