Construction of several second- and fourth-order geometric partial differential equations for space curves

DOI10.1016/j.cagd.2013.12.005zbMath1293.65030OpenAlexW2117234269WikidataQ115359915 ScholiaQ115359915MaRDI QIDQ395889

Xuyang Yang, Guo-liang Xu

Publication date: 7 August 2014

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2013.12.005

zbMATH Keywords

geometric flowsspace curvesgeometric partial differential equations

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Length-preserving evolution of immersed closed curves and the isoperimetric inequality ⋮ The Evolution of Nonlocal Curvature Flow Arising in a Hele--Shaw Problem

Uses Software

• FITPACK

Cites Work

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• On a length preserving curve flow
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• On a non-local perimeter-preserving curve evolution problem for convex plane curves
• The heat equation shrinking convex plane curves
• The heat equation shrinks embedded plane curves to round points
• Shortening space curves and flow through singularities
• Shortening embedded curves
• Evolving convex curves
• Area-preserving curve-shortening flows: From phase separation to image processing
• Curve shortening in a Riemannian manifold
• Curve shortening on surfaces
• Discrete Anisotropic Curve Shortening Flow

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