Curvature analysis and visualization for functions defined on Euclidean spaces or surfaces

DOI10.1016/0167-8396(94)90057-4zbMath0875.68825OpenAlexW2047114223MaRDI QIDQ671823

Helmut Pottmann, Karsten Opitz

Publication date: 27 February 1997

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

Full work available at URL: https://doi.org/10.1016/0167-8396(94)90057-4

zbMATH Keywords

Curvature analysisDifferential geometryFunctions on surfacesIsotropic geometryScattered data interpolation and approximationScientific visualization

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (12)

Direct extraction of curvature-based metric shape from stereo by view-modulated receptive fields ⋮ Shape, Shading, Brain and Awareness ⋮ Classifications of translation surfaces in isotropic geometry with constant curvature ⋮ A generalization of translation surfaces with constant curvature in the isotropic space ⋮ Affine factorable surfaces in isotropic spaces ⋮ Constant curvature factorable surfaces in 3-dimensional isotropic space ⋮ Willmore Surfaces in Three-Dimensional Simply Isotropic Spaces $$\mathbb {I}_3^1$$ ⋮ Fitting scattered data on sphere-like surfaces using spherical splines ⋮ The geometry of Gauss map and shape operator in simply isotropic and pseudo-isotropic spaces ⋮ Laguerre minimal surfaces, isotropic geometry and linear elasticity ⋮ Ruled surfaces generated by elliptic cylindrical curves in the isotropic space ⋮ Smooth surface extension with curvature bound

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