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The Hermite Transform: A Survey

EURASIP Journal on Advances in Signal Processing volume 2006, Article number: 026145 (2006) Cite this article

Abstract

With this survey on the Hermite transformation we want to pursue the following two goals. First, we want to provide a comprehensive and up-to-date description of the Hermite transformation, its underlying philosophy, and its most important properties and their implications for applications. As so often when publications and development go hand-in-hand, new insights have led to changes in or generalizations of already published results, and not all of these changes have been considered sufficiently substantial to be published separately. As a consequence, the existing publications on the Hermite transformation do not fully reflect our most recent insights, and the current paper intends to remedy this. Second, we also want to share some new results. Two specific new results, that is, partial signal decompositions and intersection curvatures, are therefore treated in more detail than other aspects.

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Authors and Affiliations

  1. Department of Industrial Design, Eindhoven University of Technology, Den Dolech 2, P.O. Box 513, Eindhoven, 5600, MB, Netherlands Antilles

    Jean-Bernard Martens

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Correspondence to Jean-Bernard Martens.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Martens, JB. The Hermite Transform: A Survey. EURASIP J. Adv. Signal Process. 2006, 026145 (2006). https://doi.org/10.1155/ASP/2006/26145

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