110 citations · 237 across the 27 of their papers we have counts for
27 papers
Multivariate Splines and Their Applications
Ming-Jun Lai
This paper begins by reviewing numerous theoretical advancements in the field of multivariate splines, primarily contributed by Professor Larry L. Schumaker. These foundational res…
Graph-based Semi-supervised Local Clustering with Few Labeled Nodes
Zhaiming Shen, Ming-Jun Lai, Sheng Li
Local clustering aims at extracting a local structure inside a graph without the necessity of knowing the entire graph structure. As the local structure is usually small in size co…
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…
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…
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…
A Compressed Sensing Based Least Squares Approach to Semi-supervised Local Cluster Extraction
Ming-Jun Lai, Zhaiming Shen
A least squares semi-supervised local clustering algorithm based on the idea of compressed sensing is proposed to extract clusters from a graph with known adjacency matrix. The alg…