Solitons of discrete curve shortening
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Publication:511840
DOI10.1007/s00025-016-0572-5zbMath1367.53056arXiv1508.07274OpenAlexW2964022327MaRDI QIDQ511840
Hans-Bert Rademacher, Christine Rademacher
Publication date: 22 February 2017
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.07274
polygonsolitonaffine mappingsdiscrete curve shorteninglinear system of ordinary differential equationsmidpoints polygon
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Related Items (2)
Asymptotic behavior of the shape of planar polygons by linear flows ⋮ Solitons of the midpoint mapping and affine curvature
Cites Work
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- On projective invariant smoothing and evolutions of planar curves and polygons.
- The ubiquitous ellipse
- Self-similar solutions to the curve shortening flow
- Semidiscrete Geometric Flows of Polygons
- The zoo of solitons for curve shortening in $\mathbb{R}^n$
- Curve Shortening and the Rendezvous Problem for Mobile Autonomous Robots
- A Polygon Problem
- The Finite Fourier Series and Elementary Geometry
- Soliton solutions for the mean curvature flow
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