On the Injectivity of Mean Value Mapping between Convex Quadrilaterals
Metric Geometry
2024-07-08 v7
Abstract
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.
Cite
@article{arxiv.2208.01037,
title = {On the Injectivity of Mean Value Mapping between Convex Quadrilaterals},
author = {Luca Dieci and Fabio V. Difonzo},
journal= {arXiv preprint arXiv:2208.01037},
year = {2024}
}
Comments
There is still a flaw in the main proof