A multi-sided generalization of the \(C^0\) Coons patch

A multi-sided generalization of the \(C^0\) Coons patch

Most multi-sided transfinite surfaces require cross-derivatives at the boundaries. Here we show a general \(n\)-sided patch that interpolates all boundaries based on only positional information. The surface is a weighted sum of \(n\) Coons patches, using a parameterization based on Wachspress coordi...

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Veröffentlicht in:arXiv.org 2020-02
1. Verfasser: Salvi, Péter
Format: Artikel
Sprache:eng
Schlagworte:
Boundaries
Parameterization
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Zusammenfassung:Most multi-sided transfinite surfaces require cross-derivatives at the boundaries. Here we show a general \(n\)-sided patch that interpolates all boundaries based on only positional information. The surface is a weighted sum of \(n\) Coons patches, using a parameterization based on Wachspress coordinates.
ISSN:2331-8422