Computing lines of curvature for implicit surfaces

DOI10.1016/j.cagd.2009.07.004zbMath1205.65113OpenAlexW1972547487MaRDI QIDQ625246

Wujun Che, Xiaopeng Zhang, Jean-Claude Paul

Publication date: 15 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2009.07.004

zbMATH Keywords

visualizationprincipal configurationimplicit surfaceline of curvatureumbilical pointprincipal foliation

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (8)

Local reparametrization by approximating lines of curvature ⋮ Ruled surface family with common special curve ⋮ Linear interpolation of shape operators for umbilical points through local parametrization ⋮ Dense lines of curvature on convex surfaces ⋮ A generalization of surface family with common line of curvature ⋮ Unnamed Item ⋮ A generalization for surfaces using a line of curvature in Lie group ⋮ Ridge extraction of a smooth 2-manifold surface based on vector field

Cites Work

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• Lines of curvature and umbilical points for implicit surfaces
• Umbilics and lines of curvature for shape interrogation
• On integrating lines of curvature
• Bifurcations of umbilic points and related principal cycles
• Lines of curvature on surfaces, historical comments and recent developments
• DIFFERENTIAL TOPOLOGY AND GEOMETRY OF SMOOTH EMBEDDED SURFACES: SELECTED TOPICS

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