Discrete schemes for Gaussian curvature and their convergence

DOI10.1016/j.camwa.2009.01.024zbMath1186.65024OpenAlexW2130104235MaRDI QIDQ971616

Zhiqiang Xu, Guo-liang Xu

Publication date: 16 May 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.01.024

zbMATH Keywords

Gaussian curvaturediscrete curvaturegeometric modellingdiscrete surfacesangular defect schemes

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Surfaces in Euclidean and related spaces (53A05)

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Cites Work

• 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
• On the angular defect of triangulations and the pointwise approximation of curvatures
• Discrete Laplace-Beltrami operators and their convergence
• Estimating differential quantities using polynomial fitting of osculating jets
• Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
• Theory of Shell Structures
• Computing Discrete Minimal Surfaces and Their Conjugates
• Restricted delaunay triangulations and normal cycle
• Mathematics of Surfaces XI

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