针孔准直器的几何灵敏度。

IF 1 Q1 MATHEMATICS

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2010-02-19 DOI:10.1155/2010/915958

Howard Jacobowitz, Scott D Metzler

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引用次数: 7

摘要

单光子发射计算机断层扫描(SPECT)的几何灵敏度由探测平面上的二重积分给出。能明确地求出这个量是很有用的。本文表明，在针孔周围没有射线穿透的情况下，可以计算内积分。这是通过将积分转换为复平面上的积分，并使用柯西定理将其替换为一个可以用椭圆函数表示的积分来完成的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Geometric Sensitivity of a Pinhole Collimator.

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Geometric Sensitivity of a Pinhole Collimator.

Geometric sensitivity for single photon emission computerized tomography (SPECT) is given by a double integral over the detection plane. It would be useful to be able to explicitly evaluate this quantity. This paper shows that the inner integral can be evaluated in the situation where there is no gamma ray penetration of the material surrounding the pinhole aperature. This is done by converting the integral to an integral in the complex plane and using Cauchy's theorem to replace it by one which can be evaluated in terms of elliptic functions.

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来源期刊

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

17 weeks

期刊介绍： The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.