Demystification of the geometric Fourier transforms and resulting convolution theorems |
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| Authors: | Roxana Bujack Gerik Scheuermann Eckhard Hitzer |
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| Institution: | 1. Department of Computer Science, University of California Davis, Davis, CA, USA;2. Institut für Informatik, Abteilung für Bild‐ und Signalverarbeitung, Universit?t Leipzig, Leipzig, Germany;3. Department of Material Science, Graduate School & Research, International Christian University, Tokyo, Japan |
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| Abstract: | T. Qian 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 everyone 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. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | geometric algebra Clifford algebra Fourier transform trigonometric transform convolution theorem |
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