Semidiscrete Geometric Flows of Polygons

DOI10.1080/00029890.2007.11920419zbMath1171.52009OpenAlexW2408645823MaRDI QIDQ3606601

Bennett Chow, David Glickenstein

Publication date: 26 February 2009

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2007.11920419

zbMATH Keywords

discrete Fourier analysisregular polygonscurve shorteningflows of polygons

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Polytopes and polyhedra (52B99) Curves in Euclidean and related spaces (53A04)

Related Items (6)

A Convexity-Preserving and Perimeter-Decreasing Parametric Finite Element Method for the Area-Preserving Curve Shortening Flow ⋮ Asymptotic behavior of \(\beta \)-polygon flows ⋮ Solitons of discrete curve shortening ⋮ Asymptotic behavior of the shape of planar polygons by linear flows ⋮ Evolving a convex closed curve to another one via a length-preserving linear flow ⋮ On the stability problem of equilibrium discrete planar curves

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