110 citations · 237 across the 27 of their papers we have counts for
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math.NA2022
On Locality of Harmonic Generalized Barycentric Coordinates and Their Application to Solution of the Poisson Equation
Chongyang Deng, Ming-Jun Lai
We first extend the construction of generalized barycentric coordinates (GBC) based on the vertices on the boundary of a polygon to a new kind of GBCs based on vertices inside…
math.NA2022★ 1 cited
Trivariate Spline Collocation Methods for Numerical Solution to 3D Monge-Ampère Equation
Ming-Jun Lai, Jinsil Lee
We use trivariate spline functions for the numerical solution of the Dirichlet problem of the 3D elliptic Monge-Ampére equation. Mainly we use the spline collocation method introdu…
math.NA2022
The Harmonic GBC Function Map is a Bijection if the Target Domain is Convex
Chongyang Deng, Tsung-wei Hu, Ming-Jun Lai
Harmonic generalized barycentric coordinates (GBC) functions have been used for cartoon animation since an early work in 2006\cite{JMDGS06}. A computational procedure was further d…