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图像重建模型中基函数的引入

张莉 刘畅

CT理论与应用研究2012,Vol.21Issue(2):239-246,8.
CT理论与应用研究2012,Vol.21Issue(2):239-246,8.

图像重建模型中基函数的引入

Basis Function Approach to Computerized Tomography

张莉 1刘畅1

作者信息

  • 1. 北京信息科技大学应用数学研究室,北京100101
  • 折叠

摘要

Abstract

We have a image reconstruction of the discrete model that based on the ideal small area replaces the original pixel grid in the traditional sense. The function about the distance form the ideal small area to the ray, to measure the size of the attenuation coefficient when the radiation passes through the ideal small area.In this image reconstruction of the discrete model we introduce the basis function.The discrete image is mapped into continuous image by convolution with a basis function.We discuss the conditions the basis function need to meet and give two basis functions and their firequency properties.

关键词

图像重建/重建模型/基函数/代数迭代

Key words

image reconstruction/reconstruction model/basis function/iterative method

分类

信息技术与安全科学

引用本文复制引用

张莉,刘畅..图像重建模型中基函数的引入[J].CT理论与应用研究,2012,21(2):239-246,8.

基金项目

国家自然科学基金项目 ()

北京市重点建设学科—应用数学PXM2010_014224_096185) ()

CT理论与应用研究

OACSTPCD

1004-4140

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