3 papers
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
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…
math.NA2017
Symmetric four-directional bivariate pseudo-splines
Costanza Conti, Chongyang Deng, Kai Hormann
Univariate pseudo-splines are a generalization of uniform B-splines and interpolatory -point subdivision schemes. Each pseudo-spline is characterized as the subdivision scheme…