An analysis and comparison of parameterization-based computation of differential quantities for discrete surfaces

DOI10.1016/j.cagd.2009.02.006zbMath1205.65108OpenAlexW2114729001WikidataQ115359919 ScholiaQ115359919MaRDI QIDQ625266

Xiangmin Jiao, Duo Wang, Bryan K. Clark

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.2009.02.006

zbMATH Keywords

differential geometrycurvaturesdiscrete operatorsnormalssurface meshes

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17) Differential line geometry (53A25)

Related Items (1)

Linear interpolation of shape operators for umbilical points through local parametrization

Uses Software

• CGAL
• LAPACK
• Jet_fitting_3

Cites Work

• Exact and interpolatory quadratures for curvature tensor estimation
• On the convergence of metric and geometric properties of polyhedral surfaces
• On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
• Convergence of discrete Laplace-Beltrami operators over surfaces
• Mean value coordinates
• On the angular defect of triangulations and the pointwise approximation of curvatures
• Subdivision surfaces
• Estimating differential quantities using polynomial fitting of osculating jets
• LAPACK Users' Guide
• Computing Discrete Minimal Surfaces and Their Conjugates
• Restricted delaunay triangulations and normal cycle
• ESTIMATING CURVATURE ON TRIANGULAR MESHES
• How to Draw a Graph
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An analysis and comparison of parameterization-based computation of differential quantities for discrete surfaces