多结果三值图像多重构

doi:10.3969/j.issn.1000-565X.2013.07.019

华南理工大学学报（自然科学版） ›› 2013, Vol. 41 ›› Issue (7): 114-119.doi: 10.3969/j.issn.1000-565X.2013.07.019

多结果三值图像多重构

Chuanlin Liu Jeanpierre Guédon

LUNAM Université,Université de Nantes,IRCCyN UMR CNRS 6597 (Institut de Recherche en Communications et Cybernétique de Nantes),Polytech Nantes,rue Christian Pauc BP 50609 44306,Nantes,France

收稿日期:2013-03-01 出版日期:2013-07-25 发布日期:2013-06-01
通信作者: Chuanlin Liu(1983-)，男，博士，主要从事Mojette转换、离散X线断层摄影术和医学图像研究． E-mail:liu.zhuanlin@gmail.com
作者简介:Chuanlin Liu(1983-)，男，博士，主要从事Mojette转换、离散X线断层摄影术和医学图像研究．

Finding All Solutions of Three- Material Image Reconstruction Problem

Chuanlin Liu Jeanpierre Guédon

LUNAM Université,Université de Nantes,IRCCyN UMR CNRS 6597 (Institut de Recherche en Communications et Cybernétique de Nantes),Polytech Nantes,rue Christian Pauc BP 50609 44306,Nantes,France

Received:2013-03-01 Online:2013-07-25 Published:2013-06-01
Contact: Chuanlin Liu(born in 1983),male,Ph.D.,mainly researches on Mojette transform,discrete tomography,and medi-cal image. E-mail:liu.zhuanlin@gmail.com
About author:Chuanlin Liu(born in 1983),male,Ph.D.,mainly researches on Mojette transform,discrete tomography,and medi-cal image.

摘要/Abstract

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．

关键词: 三值图像重构, Mojette 变换, Line Mojette 变换, 树分解

Abstract:

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).

Key words: three- material image reconstruction, Mojette transform, line Mojette transform, tree decomposition

Chuanlin Liu Jeanpierre Guédon. 多结果三值图像多重构[J]. 华南理工大学学报（自然科学版）, 2013, 41(7): 114-119.

Chuanlin Liu Jeanpierre Guédon. Finding All Solutions of Three- Material Image Reconstruction Problem[J]. Journal of South China University of Technology (Natural Science Edition), 2013, 41(7): 114-119.

多结果三值图像多重构

Finding All Solutions of Three- Material Image Reconstruction Problem

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