Transfinite mean value interpolation over polygons
| Autor: | Floater, Michael S., Patrizi, Francesco |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. |
| Databáze: | arXiv |
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