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math.MG2023
Set-Valued Analysis of Generalized Barycentric Coordinates and Their Geometric Properties
Fabio V. Difonzo
Letting be a convex polytope in with vertices, we study geometric and analytical properties of the set of generalized barycentric coordinates relative to a…
math.MG2022
On the Injectivity of Mean Value Mapping between Convex Quadrilaterals
Luca Dieci, Fabio V. Difonzo
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 Wachsp…