Limiting forms of iterated circular convolutions of planar polygons

DOI10.1007/s40819-016-0224-1zbMath1397.65327OpenAlexW2518317019MaRDI QIDQ1791792

Boyan Kostadinov

Publication date: 11 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://academicworks.cuny.edu/cgi/viewcontent.cgi?article=1086&context=ny_pubs

zbMATH Keywords

discrete Fourier transformlimiting ellipse of convolved polygonspolygon averaging with normalizationrepeated circular convolution

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical methods for discrete and fast Fourier transforms (65T50) Elementary problems in Euclidean geometries (51M04)

Related Items

From a random polygon in \(\mathbb R^m\) to an ellipse: a Fourier analysis of iterated circular convolutions

Uses Software

• R

Cites Work

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• Convolution filters for polygons and the Petr-Douglas-Neumann theorem
• A circulant formulation of the Napoleon-Douglas-Neumann theorem
• Cyclic transformations of n-gons and related quadratic forms
• The ubiquitous ellipse
• Iterative Processes in Elementary Geometry
• A Periodicity Problem in Plane Geometry
• Sequences of Polygons
• Cyclic Transformations of Polygons and the Generalized Inverse
• From Random Polygon to Ellipse: An Eigenanalysis
• A Polygon Problem
• The Finite Fourier Series and Elementary Geometry
• A Property of Linear Cyclic Transformations
• On linear polygon transformations