112 citations · 154 across the 7 of their papers we have counts for
8 papers
Isogeometric Analysis for Surface PDEs with Extended Loop Subdivision
Qing Pan, Timon Rabczuk, Gang Xu +1
We investigate the isogeometric analysis for surface PDEs based on the extended Loop subdivision approach. The basis functions consisting of quartic box-splines corresponding to ea…
Singularity Structure Simplification of Hexahedral Mesh via Weighted Ranking
Gang Xu, Ran Ling, Jessica Zhang +3
In this paper, we propose an improved singularity structure simplification method for hexahedral (hex) meshes using a weighted ranking approach. In previous work, the selection of…
Shape-from-Mask: A Deep Learning Based Human Body Shape Reconstruction from Binary Mask Images
Zhongping Ji, Xiao Qi, Yigang Wang +3
3D content creation is referred to as one of the most fundamental tasks of computer graphics. And many 3D modeling algorithms from 2D images or curves have been developed over the…
Weakening the tight coupling between geometry and simulation in isogeometric analysis: from sub- and super- geometric analysis to Geometry Independent Field approximaTion (GIFT)
Elena Atroshchenko, Gang Xu, Satyendra Tomar +1
This paper presents an approach to generalize the concept of isogeometric analysis (IGA) by allowing different spaces for parameterization of the computational domain and for appro…
Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization
Gang Xu, Ming Li, Bernard Mourrain +3
In this paper, we propose a general framework for constructing IGA-suitable planar B-spline parameterizations from given complex CAD boundaries consisting of a set of B-spline curv…
An improved isogeometric analysis method for trimmed geometries
Jinlan Xu, Ningning Sun, Laixin Shu +2
Trimming techniques are efficient ways to generate complex geometries in Computer-Aided Design(CAD). In this paper, an improved isogeometric analysis(IGA) method for trimmed geomet…
Isogeometric computation reuse method for complex objects with topology-consistent volumetric parameterization
Gang Xu, Tsz-Ho Kwok, Charlie C. L. Wang
Volumetric spline parameterization and computational efficiency are two main challenges in isogeometric analysis (IGA). To tackle this problem, we propose a framework of computatio…
Parametric polynomial minimal surfaces of arbitrary degree
Gang Xu, Guozhao Wang
Weierstrass representation is a classical parameterization of minimal surfaces. However, two functions should be specified to construct the parametric form in Weierestrass represen…