A general construction of spherical barycentric coordinates and applications

DOI10.1016/j.cam.2022.114945OpenAlexW4308951640MaRDI QIDQ2104105

Alaa eddine Bensad, Aziz Ikemakhen

Publication date: 9 December 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114945

zbMATH Keywords

morphinggeodesic polygon\(3\)D barycentric coordinatesspherical barycentric coordinates

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Unnamed Item
• A general geometric construction of coordinates in a convex simplicial polytope
• A rational finite element basis
• Bernstein-Bézier polynomials on spheres and sphere-like surfaces
• Morphing of spherical closed curves
• Barycentric coordinates for convex sets
• A general construction of barycentric coordinates over convex polygons
• Mean value coordinates in 3D
• One-to-one piecewise linear mappings over triangulations
• INTRINSIC MORPHING OF COMPATIBLE TRIANGULATIONS
• Generalized barycentric coordinates and applications
• Morphing Planar Graphs in Spherical Space
• METAMORPHOSIS OF PLANAR PARAMETRIC CURVES VIA CURVATURE INTERPOLATION

This page was built for publication: A general construction of spherical barycentric coordinates and applications