A family of π-scheme exponential Radon transforms and the uniqueness of their inverses

被引：21

作者：

Pan, XC ^{[1
]}

Kao, CM ^{[1
]}

Metz, CE ^{[1
]}

机构：

[1] Univ Chicago, Dept Radiol, Chicago, IL 60637 USA

来源：

INVERSE PROBLEMS | 2002年 / 18卷 / 03期

关键词：

D O I：

10.1088/0266-5611/18/3/319

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a family of pi-scheme exponential Radon transforms (ERTs) of an object function, which characterize the data functions that arise in pi-scheme single-photon emission computed tomography (SPELT) with uniform attenuation. Single-interval 180 acquisition in SPELT can be interpreted as a special case of the proposed pi-scheme SPELT. We show the existence and uniqueness of the inverse pi-scheme ERT and provide an iterative algorithm for obtaining the object function from the pi-scheme ERT. Numerical results in our simulation studies confirm the mathematical results.

引用

页码：825 / 836

页数：12

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