On the monotonicity of generalized barycentric coordinates on convex polygons

DOI10.1016/j.cagd.2016.01.003zbMath1417.65106OpenAlexW2270867312MaRDI QIDQ1632402

Michael S. Floater

Publication date: 14 December 2018

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10852/62351

zbMATH Keywords

monotonicityharmonic coordinatesmean value coordinatesWachspress coordinatesGBCsGordon-Wixom coordinates

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (3)

Mesh adaptation based on transfinite mean value interpolation ⋮ The monotonicity of a family of barycentric coordinates for quadrilaterals ⋮ Mini-workshop: Interpolation, approximation, and algebra. Abstracts from the mini-workshop held February 13--19, 2022

Cites Work

• Unnamed Item
• Barycentric coordinates for convex polytopes
• A rational finite element basis
• Mean value coordinates
• The inverse of a rational bilinear mapping
• Barycentric coordinates for convex sets
• A general construction of barycentric coordinates over convex polygons
• Pseudo-Harmonic Interpolation on Convex Domains
• Generalized Barycentric Coordinates on Irregular Polygons
• Gradient Bounds for Wachspress Coordinates on Polytopes
• Construction of polygonal interpolants: a maximum entropy approach

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