Direct reconstruction methods for the Compton scattering camera for use in SPECT

1993 IEEE Conference Record Nuclear Science Symposium and Medical Imaging Conference Pub Date : 1993-10-31 DOI:10.1109/NSSMIC.1993.373630

M. Cree, P. Bones

{"title":"Direct reconstruction methods for the Compton scattering camera for use in SPECT","authors":"M. Cree, P. Bones","doi":"10.1109/NSSMIC.1993.373630","DOIUrl":null,"url":null,"abstract":"A novel type of gamma-camera based on coincident detection of photons on two detecting planes, sometimes called electronic collimation, has been demonstrated elsewhere to have the potential to better the counting statistics and energy resolution of the Anger camera. As Compton scattering is used to localise photon direction vectors, the projections can be considered to be a set of integrals over the surfaces of cones. Thus the algorithms needed for fully three-dimensional reconstruction differ from those used in conventional tomography. If a complete set of projections is collected over an infinitely extending plane it is shown that the reconstruction problem is not only analytically solvable but also overspecified in the absence of measurement uncertainties. However, practical limitations dictate that all measurements are utilised. Relationships in Fourier space connecting a subset of the projections to the source image and to parallel-ray projections are developed. Results of computer simulations are presented which indicate the performance characteristics necessary in the detector to achieve usable reconstruction.<<ETX>>","PeriodicalId":287813,"journal":{"name":"1993 IEEE Conference Record Nuclear Science Symposium and Medical Imaging Conference","volume":"76 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1993 IEEE Conference Record Nuclear Science Symposium and Medical Imaging Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NSSMIC.1993.373630","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

Abstract

A novel type of gamma-camera based on coincident detection of photons on two detecting planes, sometimes called electronic collimation, has been demonstrated elsewhere to have the potential to better the counting statistics and energy resolution of the Anger camera. As Compton scattering is used to localise photon direction vectors, the projections can be considered to be a set of integrals over the surfaces of cones. Thus the algorithms needed for fully three-dimensional reconstruction differ from those used in conventional tomography. If a complete set of projections is collected over an infinitely extending plane it is shown that the reconstruction problem is not only analytically solvable but also overspecified in the absence of measurement uncertainties. However, practical limitations dictate that all measurements are utilised. Relationships in Fourier space connecting a subset of the projections to the source image and to parallel-ray projections are developed. Results of computer simulations are presented which indicate the performance characteristics necessary in the detector to achieve usable reconstruction.<>

查看原文本刊更多论文

用于SPECT康普顿散射相机的直接重建方法

一种新型的伽玛相机基于在两个探测平面上同步探测光子，有时被称为电子准直，已经在其他地方被证明有潜力更好的计数统计和能量分辨率的愤怒相机。当康普顿散射用于定位光子方向矢量时，投影可以被认为是锥体表面上的一组积分。因此，完全三维重建所需的算法不同于传统的断层扫描。如果在无限扩展的平面上收集到一组完整的投影，则表明在没有测量不确定性的情况下，重构问题不仅是解析可解的，而且是超规定性的。然而，实际的限制决定了所有的测量方法都被使用。在傅里叶空间中，将投影子集与源图像和平行射线投影连接起来的关系得到了发展。计算机模拟的结果表明，探测器的性能特征是必要的，以实现可用的重建。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

1993 IEEE Conference Record Nuclear Science Symposium and Medical Imaging Conference

自引率

0.00%

发文量