Wavelet filtering for filtered backprojection in computed tomography

被引：18

作者：

Zhao, SY ^{[1
]}

机构：

[1] Univ Missouri, Dept Math & Comp Sci, St Louis, MO 63121 USA

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 1999年 / 6卷 / 03期

关键词：

wavelets; multiresolution analysis (MRA); subband coding; Radon transform; Lambda-operator; filtered backprojection (FB); computed tomography (CT);

D O I：

10.1006/acha.1998.0260

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a characterization of MRA biorthogonal wavelet filters with full frequency supports. Based on this characterization, it is established that wavelet ramp filters are biorthogonal wavelets if the original wavelets are sufficiently regular. An efficient subband coding algorithm is developed for wavelet filtering in filtered backprojection, which is the most popular method in computed tomography (CT). Computer simulation suggests that this wavelet filtering process is a useful tool for improving image quality and reducing computational time in local CT reconstruction. (C) 1999 Academic Press.

引用

页码：346 / 373

页数：28

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