NDLI: Convolution filters for polygons and the Petr–Douglas

Content Provider	Springer Nature Link
Author	Nicollier, Grégoire
Copyright Year	2013
Abstract	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.
Starting Page	701
Ending Page	708
Page Count	8
File Format	PDF
ISSN	01384821
Journal	Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Volume Number	54
Issue Number	2
e-ISSN	21910383
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-04-09
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Petr–Douglas–Neumann theorem Napoleon’s theorem Convolution filter for polygons Shape function Discrete Fourier transformation Euclidean analytic geometry Elementary problems in Euclidean geometries Algebra Geometry Algebraic Geometry Convex and Discrete Geometry
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Geometry and Topology

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