Bringing closed polygonal curves in the plane to normal form via local moves

DOI10.1134/S0001434618030124zbMath1401.52032OpenAlexW2799418335MaRDI QIDQ722156

D. Kharzeev

Publication date: 23 July 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618030124

zbMATH Keywords

local movesgradient descentregular homotopyEuler functionalnormal form of a polygonal curveregular closed polygonal curvewinding number of a plane curve

Mathematics Subject Classification ID

Planar arrangements of lines and pseudolines (aspects of discrete geometry) (52C30)

Related Items (2)

Theory of thickened knots ⋮ Energy functionals and normal forms of knots and plane curves

Cites Work

• Unnamed Item
• Closed Euler elasticae
• On the normal form of knots
• Euler elasticae in the plane and the Whitney-Graustein theorem

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