On the injectivity of mean value mappings between quadrilaterals
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908415294439424 |
|---|---|
| author | Floater, Michael S. Muntingh, Georg |
| author_facet | Floater, Michael S. Muntingh, Georg |
| contents | Mean value coordinates can be used to map one polygon into another, with application to computer graphics and curve and surface modelling. In this paper we show that if the polygons are quadrilaterals, and if the target quadrilateral is convex, then the mapping is injective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00422 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the injectivity of mean value mappings between quadrilaterals Floater, Michael S. Muntingh, Georg Numerical Analysis 65D17, 26B10 Mean value coordinates can be used to map one polygon into another, with application to computer graphics and curve and surface modelling. In this paper we show that if the polygons are quadrilaterals, and if the target quadrilateral is convex, then the mapping is injective. |
| title | On the injectivity of mean value mappings between quadrilaterals |
| topic | Numerical Analysis 65D17, 26B10 |
| url | https://arxiv.org/abs/2407.00422 |