Demystification of the geometric Fourier transforms and resulting convolution theorems

Author:

Bujack Roxana1,Scheuermann Gerik2,Hitzer Eckhard3

Affiliation:

1. Department of Computer Science; University of California Davis; 1 Shields Ave Davis 95616 CA USA

2. Institut für Informatik, Abteilung für Bild- und Signalverarbeitung; Universität Leipzig; Augustuplatz 10 Leipzig 04109 Germany

3. Department of Material Science, Graduate School & Research; International Christian University; Tokyo 181-0015 Japan

Funder

European Social Fund

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference20 articles.

1. Convolution products for hypercomplex Fourier transforms;Bujack;Journal of Mathematical Imaging and Vision,2013

2. The Clifford-Fourier transform;Brackx;Journal of Fourier Analysis and Applications,2005

3. The Clifford-Fourier integral kernel in even dimensional Euclidean space;Brackx;Journal of Mathematical Analysis and Applications,2010

4. The class of Clifford-Fourier transforms;Bie;Journal of Fourier Analysis and Applications,2011

5. Trends in Mathematics 27;Bujack,2013

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. New Applications of Clifford’s Geometric Algebra;Advances in Applied Clifford Algebras;2022-02-14

2. Sparse fast Clifford Fourier transform;Frontiers of Information Technology & Electronic Engineering;2017-08

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