Convergence of geodesics on triangulations

DOI10.1016/j.cagd.2009.02.001zbMath1205.65121OpenAlexW2046420955MaRDI QIDQ625196

André Lieutier, Boris Thibert

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.2009.02.001

zbMATH Keywords

convergencegeodesicstriangulationsshortest pathssubdivision surfacesPL-surfaces

Mathematics Subject Classification ID

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

Related Items (3)

Convergence of geodesics on triangulations ⋮ Finding globally shortest paths through a sequence of adjacent triangles by the method of orienting curves ⋮ Parallel chen-han (PCH) algorithm for discrete geodesics

Cites Work

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• Convergence of geodesics on triangulations
• On the convergence of metric and geometric properties of polyhedral surfaces
• Asymptotic methods in electromagnetism
• Best bounds on the approximation of polynomials and splines by their control structure
• Curvature Measures
• Subdivision schemes in geometric modelling
• Computing geodesic paths on manifolds
• Distance Functions and Geodesics on Submanifolds of $\R^d$ and Point Clouds
• Pseudo-geodesics on three-dimensional surfaces and pseudo-geodesic meshes
• A subdivision scheme for surfaces of revolution

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