Reconstruction of tomographic images from limited range projections using discrete Radon transform and Tchebichef moments

被引：49

作者：

Dai, X. B. ^{[1
]}

Shu, H. Z. ^{[1
]}

Luo, L. M. ^{[1
]}

Han, G. N. ^{[2
,3
]}

Coatrieux, J. L. ^{[4
,5
]}

机构：

[1] Southeast Univ, Sch Engn & Comp Sci, Lab Image Sci & Technol, Nanjing 210096, Peoples R China

[2] Univ Strasbourg, IRMA, F-67084 Strasbourg, France

[3] CNRS, F-67084 Strasbourg, France

[4] INSERM, U642, F-35000 Rennes, France

[5] Univ Rennes 1, LTSI, F-35000 Rennes, France

来源：

PATTERN RECOGNITION | 2010年 / 43卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Discrete Radon transform; Discrete orthogonal moments; Projection moments; Image reconstruction;

D O I：

10.1016/j.patcog.2009.07.009

中图分类号：

TP18 [人工智能理论];

学科分类号：

140502 [人工智能];

摘要：

This paper presents an image reconstruction method for X-ray tomography from limited range projections. it makes use of the discrete Radon transform and a set of discrete orthogonal Tchebichef polynomials to define the projection moments and the image moments. By establishing the relationship between these two sets of moments, we show how to estimate the unknown projections from known projections in order to improve the image reconstruction. Simulation results are provided in order to validate the method and to compare its performance with some existing algorithms. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1152 / 1164

页数：13

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