Ridge extraction of a smooth 2-manifold surface based on vector field

DOI10.1016/j.cagd.2011.03.005zbMath1220.65020OpenAlexW2171692061MaRDI QIDQ551492

Yi-Kuan Zhang, Wujun Che, Bo Xu, Xiaopeng Zhang, Jean-Claude Paul

Publication date: 20 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2011.03.005

zbMATH Keywords

ridgenumerical examplesvector fieldparametric surfaceprincipal curvaturegraphical examplesintegral curveprincipal directionimplicit surfaceline of curvatureinvariant featureumbilical point

Mathematics Subject Classification ID

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

Related Items (2)

Reduced curvature formulae for surfaces, offset surfaces, curves on a surface and surface intersections ⋮ A hierarchical curve-based approach to the analysis of manifold data

Uses Software

• SingSurf

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Computing lines of curvature for implicit surfaces
• Lines of curvature and umbilical points for implicit surfaces
• Fast, robust, and faithful methods for detecting crest lines on meshes
• Umbilics and lines of curvature for shape interrogation
• Ridges for image analysis
• The implicit structure of ridges of a smooth parametric surface
• A Simplex Method for Function Minimization
• DIFFERENTIAL TOPOLOGY AND GEOMETRY OF SMOOTH EMBEDDED SURFACES: SELECTED TOPICS

This page was built for publication: Ridge extraction of a smooth 2-manifold surface based on vector field