ESTIMATING CURVATURE ON TRIANGULAR MESHES

DOI10.1142/S0218654306000810zbMath1095.53004OpenAlexW2155553113MaRDI QIDQ5484795

Timothy D. Gatzke, Cindy M. Grimm

Publication date: 21 August 2006

Published in: International Journal of Shape Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218654306000810

zbMATH Keywords

noisesurfacecurvecomputational geometrysurface fittingsolidmesh resolutionerror statisticsobject modelingmesh regularity factors

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Surfaces in Euclidean and related spaces (53A05) Computer-aided design (modeling of curves and surfaces) (65D17) Noncompact Lie groups of transformations (57S20)

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Cites Work

• Unnamed Item
• Unnamed Item
• Parametrization and smooth approximation of surface triangulations
• On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
• Blowing bubbles for multi-scale analysis and decomposition of triangle meshes
• Parameterization of faceted surfaces for meshing using angle-based flattening

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