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Convolution filters for polygons and the Petr-Douglas-Neumann theorem

Nicollier, Grégoire

In: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2013, vol. 54, no. 2, p. 701-708

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    Title
    • Convolution filters for polygons and the Petr-Douglas-Neumann theorem
    Author
    • Nicollier, Grégoire. University of Applied Sciences of Western Switzerland, Route du Rawyl 47, 1950, Sion, Switzerland
    Document Type
    • Postprint
    Language
    • English
    Published in
    • Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2013, vol. 54, no. 2, p. 701-708. Springer Berlin Heidelberg
    Other Version
    OAI-PMH Identifier
    • oai:doc.rero.ch:318919
    Summary
    We use the discrete Fourier transformation of planar polygons, convolution filters, and a shape function to give a very simple and enlightening description of circulant polygon transformations and their iterates. We consider in particular Napoleon's and the Petr-Douglas-Neumann theorem