The total squared curvature of curves and approximation by piecewise circular curves

DOI10.1007/s00025-013-0310-1zbMath1275.53003OpenAlexW2008558545MaRDI QIDQ370830

Mio Okura, Kazuyuki Enomoto

Publication date: 19 September 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-013-0310-1

zbMATH Keywords

circularapproximationcurvetotal squared curvature

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (1)

The elastica problem under area constraint

Cites Work

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• The total squared curvature of closed curves
• Convergence rates of approximate sums of the areas of surfaces of revolution
• The total absolute curvature of open curves in \(E^{3}\)
• Closed curves in \(E^ 2\) and \(S^ 2\) whose total squared curvatures are almost minimal
• On the total curvature of knots
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• [https://portal.mardi4nfdi.de/wiki/Publication:3740681 Reduction for Constrained Variational Problems and � κ 2 2 ds]
• A Curvature Formula
• Differenzengeometrisches zur Krümmung einer Raumkurve

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