A Sobolev gradient method for construction of elastic curves in regular surfaces

DOI10.1016/j.na.2005.02.101zbMath1224.65041OpenAlexW2085573929MaRDI QIDQ999976

Robert J. Renka

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.101

zbMATH Keywords

Sobolev gradientgeodesic curvaturenonlinear splineelastic curves in regular surfacesNeuberger's Sobolev gradient theoryvariable metric gradient descent method

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

A gradient based numerical approach to simulate elastic rod ⋮ Adaptive active contours without edges ⋮ Variational level set methods for image segmentation based on both \(L^2\) and Sobolev gradients

Uses Software

• glsurf
• DNSPLIN1
• BRENT

Cites Work

• Constructing fair curves and surfaces with a Sobolev gradient method
• Smooth curve interpolation
• Minimal Surfaces and Sobolev Gradients
• Algorithm 828
• Algorithm 834
• Sobolev gradients and differential equations
• Unnamed Item
• Unnamed Item

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