Discrete Tomography: A Historical Overview

Discrete Tomography: A Historical Overview
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离散断层扫描:历史概述

DOI:
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发表时间:
1999
期刊:
影响因子:
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通讯作者:
G. Herman
G. Herman
中科院分区:
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文献类型:
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作者:
A. Kuba;G. Herman

文献摘要

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在这一章中,我们介绍了离散层析成像的主题,并给出了一个简短的历史调查的相关贡献。在讨论了离散层析成像中出现的基本理论问题(一致性、唯一性和重建问题)的性质之后,我们给出了经典特殊情况(即,二维离散集-即,二进制矩阵和两个正交投影),包括多项式时间重构算法。最后,我们总结了一些离散层析成像的应用程序的章节。
In this chapter we introduce the topic of discrete tomography and give a brief historical survey of the relevant contributions. After discussing the nature of the basic theoretical problems (those of consistency, uniqueness, and reconstruction) that arise in discrete tomography, we give the details of the classical special case (namely, two-dimensional discrete sets — i.e.,binary matrices — and two orthogonal projections) including a polynomial time reconstruction algorithm. We conclude the chapter with a summary of some of the applications of discrete tomography.