44 citations · 51 across the 7 of their papers we have counts for
7 papers
DTGBrepGen: A Novel B-rep Generative Model through Decoupling Topology and Geometry
Jing Li, Yihang Fu, Falai Chen
Boundary representation (B-rep) of geometric models is a fundamental format in Computer-Aided Design (CAD). However, automatically generating valid and high-quality B-rep models re…
Determinantal tensor product surfaces and the method of moving quadrics
Laurent Busé, Falai Chen
A tensor product surface is an algebraic surface that is defined as the closure of the image of a rational map from to $\mathbb{…
Volumetric Spline Parameterization for Isogeometric Analysis
Maodong Pan, Falai Chen, Weihua Tong
Given the spline representation of the boundary of a three dimensional domain, constructing a volumetric spline parameterization of the domain (i.e., a map from a unit cube to the…
A Low-rank Spline Approximation of Planar Domains
Maodong Pan, Falai Chen
Construction of spline surfaces from given boundary curves is one of the classical problems in computer aided geometric design, which regains much attention in isogeometric analysi…
The Dimension of Spline Spaces with Highest Order Smoothness over Hierarchical T-meshes
Meng Wu, Jiansong Deng, Falai Chen
This paper discusses the dimension of spline spaces with highest order smoothness over hierarchical T-meshes over certain type of hierarchical T-meshes. The major step is to set up…
Moving Planes and Singular Points of Rational Parametric Surfaces
Falai Chen, Xuhui Wang
In this paper we discuss the relationship between the moving planes of a rational parametric surface and the singular points on it. Firstly, the intersection multiplicity of severa…
Dimensions of Biquadratic Spline Spaces over T-meshes
Jiansong Deng, Falai Chen, Liangbing Jin
This paper discusses the dimensions of the spline spaces over T-meshes with lower degree. Two new concepts are proposed: extension of T-meshes and spline spaces with homogeneous bo…