Fourier Duality in Integral Geometry and Reconstruction from Ray Integrals

被引：0

作者：

Palamodov, Victor ^{[1
]}

机构：

[1] Tel Aviv Univ, IL-69978 Tel Aviv, Israel

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2014年 / 20卷 / 05期

关键词：

Ray transform; Completeness condition; Homogeneous distribution; Duality; Support theorem; CONE-BEAM RECONSTRUCTION; IMAGE-RECONSTRUCTION; RADON-TRANSFORM; PROJECTION; INVERSION;

D O I：

10.1007/s00041-014-9340-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Analytic reconstruction of a function defined in an affine space from data of its integrals along lines or rays is in focus of the paper. Basic tools are the Fourier transform of homogeneous distributions and a self-duality equation in integral geometry. Three dimensional case is of special interest.

引用

页码：947 / 960

页数：14

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