On the Injectivity of Mean Value Mapping between Convex Quadrilaterals

Fuente: arXiv
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Autores principales: Dieci, Luca, Difonzo, Fabio V.
Formato: Preprint
Publicado: 2022
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author Dieci, Luca
Difonzo, Fabio V.
author_facet Dieci, Luca
Difonzo, Fabio V.
contents We prove that Mean Value mapping between convex quadrilaterals is injective, affirmatively proving a conjecture stated in M. S. Floater and J. Kosinka, On the injectivity of Wachspress and mean value mappings between convex polygons, Adv. in Comp. Math. 32 (2010), 163-174.
format Preprint
id arxiv_https___arxiv_org_abs_2208_01037
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle On the Injectivity of Mean Value Mapping between Convex Quadrilaterals
Dieci, Luca
Difonzo, Fabio V.
Metric Geometry
We prove that Mean Value mapping between convex quadrilaterals is injective, affirmatively proving a conjecture stated in M. S. Floater and J. Kosinka, On the injectivity of Wachspress and mean value mappings between convex polygons, Adv. in Comp. Math. 32 (2010), 163-174.
title On the Injectivity of Mean Value Mapping between Convex Quadrilaterals
topic Metric Geometry
url https://arxiv.org/abs/2208.01037