02-12-2019 | Original Paper | Issue 3/2020
Transfinite mean value interpolation over polygons
- Journal:
- Numerical Algorithms > Issue 3/2020
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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.
