Linear interpolation of shape operators for umbilical points through local parametrization

DOI10.1016/j.cagd.2023.102223MaRDI QIDQ6178761

Wujun Che

Publication date: 5 September 2023

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

zbMATH Keywords

shape operatorlinear interpolationumbilical pointWeingarten maplocal parametrization

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx)

Cites Work

• Generalized shape operators on polyhedral surfaces
• Computing lines of curvature for implicit surfaces
• An analysis and comparison of parameterization-based computation of differential quantities for discrete surfaces
• Lines of curvature and umbilical points for implicit surfaces
• Exact and interpolatory quadratures for curvature tensor estimation
• Shape analysis and structuring
• Umbilics and lines of curvature for shape interrogation
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• Control of lines of curvature for plate forming in shipbuilding
• Estimating differential quantities using polynomial fitting of osculating jets
• Algorithms for optimal partial matching of free-form objects with scaling effects
• On the patterns of principal curvature lines around a curve of umbilic points
• ESTIMATING CURVATURE ON TRIANGULAR MESHES
• Umbilic points on Gaussian random surfaces
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