Limiting forms of iterated circular convolutions of planar polygons
type: Item
instance of: scholarly article
title: Limiting forms of iterated circular convolutions of planar polygons
zbMATH Open document ID: 1397.65327
author: Boyan Kostadinov
published in: International Journal of Applied and Computational Mathematics
publication date: 2018-10-11T00:00:00Z
full work available at URL: https://academicworks.cuny.edu/cgi/viewcontent.cgi
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 51M04
zbMATH DE Number: 6951653
zbMATH Keywords: discrete Fourier transform
zbMATH Keywords: repeated circular convolution
zbMATH Keywords: limiting ellipse of convolved polygons
zbMATH Keywords: polygon averaging with normalization
describes a project that uses: R
MaRDI profile type: Publication
OpenAlex ID: W2518317019
cites work: From Random Polygon to Ellipse: An Eigenanalysis
cites work: Sequences of Polygons
cites work: On linear polygon transformations
cites work: The Finite Fourier Series and Elementary Geometry
cites work: A Property of Linear Cyclic Transformations
cites work: A Polygon Problem
cites work: Q5584468
cites work: Q4403393
cites work: Cyclic Transformations of Polygons and the Generalized Inverse
cites work: A circulant formulation of the Napoleon-Douglas-Neumann theorem
cites work: A Periodicity Problem in Plane Geometry
cites work: The ubiquitous ellipse
cites work: Iterative Processes in Elementary Geometry
cites work: Cyclic transformations of n-gons and related quadratic forms
cites work: Convolution filters for polygons and the Petr-Douglas-Neumann theorem
cites work: Q5174275
cites work: Q4892262
DOI: 10.1007/S40819-016-0224-1
Recommended article: The limit shape of convex lattice polygons
Recommended article: Limit Polygons of Convex Domains in the Projective Plane
Recommended article: The limit shape of convex lattice polygons and related topics
Recommended article: Geometric constructibility of cyclic polygons and a limit theorem
Recommended article: Q3724621
Recommended article: Limit shape of iterated Kiepert triangles
Recommended article: The limiting curve of Jarník's polygons
Recommended article: The convergence of a sequence of iterated polygons: a discrete combinatorial analysis
Recommended article: On rigidity and convergence of circle patterns
Recommended article: Limits of sequences of stationary planar tessellations
description: scientific article; zbMATH DE number 6951653