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Projection-slice theorem: a compact notation.

作者信息

Garces Daissy H, Rhodes William T, Peña Nestor M

机构信息

University of the Andes, School of Engineering, Department of Electrical and Electronic Engineering, Bogotá, Colombia.

出版信息

J Opt Soc Am A Opt Image Sci Vis. 2011 May 1;28(5):766-9. doi: 10.1364/JOSAA.28.000766.

DOI:10.1364/JOSAA.28.000766
PMID:21532686
Abstract

The notation normally associated with the projection-slice theorem often presents difficulties for students of Fourier optics and digital image processing. Simple single-line forms of the theorem that are relatively easily interpreted can be obtained for n-dimensional functions by exploiting the convolution theorem and the rotation theorem of Fourier transform theory. The projection-slice theorem is presented in this form for two- and three-dimensional functions; generalization to higher dimensionality is briefly discussed.

摘要

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