Transfinite barycentric interpolation via Dirichlet energy minimization for conical surfaces

DOI10.1134/S0965542522080036zbMath1500.65002MaRDI QIDQ2172344

Pierre-Alain Fayolle, Alexander G. Belyaev

Publication date: 15 September 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

generalized barycentric coordinatesDirichlet energy minimizationtransfinite barycentric coordinatestransfinite Laplace coordinates

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05)

Cites Work

• Unnamed Item
• Transfinite mean value interpolation
• Barycentric coordinates for convex polytopes
• A general geometric construction of coordinates in a convex simplicial polytope
• A unified, integral construction for coordinates over closed curves
• A rational finite element basis
• Surface interpolation based on new local coordinates.
• Convergence of barycentric coordinates to barycentric kernels
• The non-Sibsonian interpolation: A new method of interpolation of the value of a function on an arbitrary set of points
• Transfinite mean value interpolation over polygons
• Mean value coordinates
• Barycentric coordinates for convex sets
• A general construction of barycentric coordinates over convex polygons
• Mean value coordinates in 3D
• Transfinite mean value interpolation in general dimension
• Computing Discrete Minimal Surfaces and Their Conjugates
• Generalized Barycentric Coordinates on Irregular Polygons
• Generalized barycentric coordinates and applications
• An asymmetrical finite difference network

This page was built for publication: Transfinite barycentric interpolation via Dirichlet energy minimization for conical surfaces