Bingru Huang

collaborators

3 papers

math.NA2026

Sharp Dimension Bounds for Spline Spaces over T-meshes with Highest Order of Smoothness

Bingru Huang, Falai Chen

The dimension of a polynomial spline space of bi-degree $(d_{1}, d_{2})$ over a T-mesh $T$ with the highest order of smoothness $(d_{1} - 1, d_{2} - 1)$ depends on both mesh topology a…

math.NA2026

A Homological Decomposition for the Dimension and Dimensional Stability of Polynomial Spline Spaces over T-Meshes

Bingru Huang

We study the dimension and dimensional stability of polynomial spline spaces of bi-degree $(m, m^{'})$ with prescribed smoothness orders over planar T-meshes. The homological dimension…

math.NA2025

Basis Construction for Spline Spaces over Arbitrary Partitions from a Dimensional Stable Perspective

Bingru Huang

This paper introduces a novel framework for constructing $C^{r}$ basis functions for polynomial spline spaces of degree $d$ over arbitrary planar polygonal partitions, overturning th…