Demystification of the Geometric Fourier Transforms

被引：0

作者：

Bujack, Roxana ^{[1
]}

Scheuermann, Gerik ^{[1
]}

Hitzer, Eckhard ^{[2
]}

机构：

[1] Univ Leipzig, Inst Informat, Abt Bild & Signalverarbeitung, Augustupl 10, D-04109 Leipzig, Germany

[2] Int Christian Univ, Dept Mat Sci, Coll Liberal Arts, Tokyo 181, Japan

来源：

11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013) | 2013年 / 1558卷

关键词：

geometric algebra; Clifford algebra; Fourier transform; trigonometric transform; convolution theorem; HYPERCOMPLEX FOURIER; FIELDS;

D O I：

10.1063/1.4825543

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

As it will turn out in this paper, the recent hype about most of the Clifford Fourier transforms is not thoroughly worth the pain. Almost every one that has a real application is separable and these transforms can be decomposed into a sum of real valued transforms with constant multivecor factors. This fact makes their interpretation, their analysis, and their implementation almost trivial.

引用

页码：525 / 528

页数：4

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