Sampling Theory and Parallel-Beam Tomography

Sampling Theory and Parallel-Beam Tomography
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采样理论和平行束层析成像

DOI:
10.1007/978-0-8176-8212-5_9
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发表时间:
2004
期刊:
SIAM J. Appl. Math.
影响因子:
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通讯作者:
A. Faridani
A. Faridani
中科院分区:
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文献类型:
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作者:
A. Faridani

文献摘要

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相似文献

这篇文章包含了一个关于采样理论和层析成像之间的相互作用的教程以及一些新的结果。我们探讨如何采样定理用于断层扫描,以确定有效的数据采集方案,方便重建算法的误差分析,并提供了一些图像伪影的定性理解。反过来,在层析成像中的应用刺激了对混叠误差和非均匀采样理论的新估计的研究。新的结果包括在分析的文物所造成的采样不足。
This article contains a tutorial on the interaction between sampling theory and tomography as well as some new results. We explore how sampling theorems are used in tomography to identify efficient data acquisition schemes, facilitate an error analysis for reconstruction algorithms, and provide a qualitative understanding of some image artifacts. In turn, applications in tomography have stimulated research on new estimates for the aliasing error and in non-uniform sampling theory. New results are included in an analysis of artifacts caused by undersampling.