INVERSION OF THE ATTENUATED RADON TRANSFORM

被引：26

作者：

NATTERER, F

机构：

[1] Angewandte mathematik und Informatik, Fachbereich 10 der Universität des Saarlandes, Saarbrücken

来源：

NUMERISCHE MATHEMATIK | 1979年 / 32卷 / 04期

关键词：

Subject Classifications: AMS(MOS); 65R05; CR; 5.18;

D O I：

10.1007/BF01401046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We given an inversion formula for the attenuated Radon transform {Mathematical expression} for constant attenuation μ which is accurate up to O(μ4) We also derive an integral equation of the second kind for the solution of Rμf=g. The implementation of both methods for the inversion of Rμ consists basically of a generalized filtered backprojection algorithm. Numerical examples are presented. © 1979 Springer-Verlag.

引用

页码：431 / 438

页数：8