Title
Transfinite mean value interpolation over polygons.
Abstract
Mean value interpolation is a method for fitting a smooth function to piecewise-linear data prescribed on the boundary of a polygon of arbitrary shape, and has applications in computer graphics and curve and surface modelling. The method generalizes to transfinite interpolation, i.e., to any continuous data on the boundary but a mathematical proof that interpolation always holds has so far been missing. The purpose of this note is to complete this gap in the theory.
Year
DOI
Venue
2019
10.1007/s11075-019-00849-w
Numerical Algorithms
Keywords
DocType
Volume
Mean value coordinates, Mean value interpolation, Transfinite interpolation
Journal
abs/1906.08358
Issue
ISSN
Citations 
3
1572-9265
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Michael S. Floater11333117.22
Francesco Patrizi200.34