Lines of curvature and umbilical points for implicit surfaces

DOI10.1016/j.cagd.2007.04.005zbMath1171.65327OpenAlexW2147939404MaRDI QIDQ733435

Jean-Claude Paul, Wujun Che, Xiaopeng Zhang

Publication date: 16 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2007.04.005

zbMATH Keywords

torsioncurvaturemean curvatureGaussian curvatureimplicit surfaceline of curvatureumbilical point

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (11)

Reduced curvature formulae for surfaces, offset surfaces, curves on a surface and surface intersections ⋮ Computing lines of curvature for implicit surfaces ⋮ 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 ⋮ Unnamed Item ⋮ A generalization of surface family with common line of curvature ⋮ A generalization for surfaces using a line of curvature in Lie group ⋮ Ridge extraction of a smooth 2-manifold surface based on vector field ⋮ VISUALIZATION OF LINES OF CURVATURE ON QUADRATIC SURFACES ⋮ SURFACE FAMILY WITH COMMON LINE OF CURVATURE IN 3-DIMENSIONAL GALILEAN SPACE

Cites Work

• On the curvature of curves and surfaces defined by normalforms
• Umbilics and lines of curvature for shape interrogation
• Curvature formulas for implicit curves and surfaces
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• Unnamed Item
• Unnamed Item

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