activity
20122023
most citedHierarchical analysis-suitable T-splines: Formulation, Bézier extraction, and application as an adaptive basis for isogeometric analysis

122 citations · 216 across the 7 of their papers we have counts for

collaborators

7 papers

cs.CE2023★ 26 cited

Isogeometric analysis using G-spline surfaces with arbitrary unstructured quadrilateral layout

Zuowei Wen, Md. Sadman Faruque, Xin Li +2

G-splines are a generalization of B-splines that deals with extraordinary points by imposing G^1 constraints across their spoke edges, thus obtaining a continuous tangent plane thr…

math.NA2021★ 61 cited

Analysis-suitable unstructured T-splines: Multiple extraordinary points per face

Xiaodong Wei, Xin Li, Kuanren Qian +3

Analysis-suitable T-splines (AST-splines) are a promising candidate to achieve a seamless integration between the design and the analysis of thin-walled structures in industrial se…

math.NA2020★ 2 cited

Tuned Hybrid Non-Uniform Subdivision Surfaces with Optimal Convergence Rates

Xiaodong Wei, Xin Li, Yongjie Jessica Zhang +1

This paper presents an enhanced version of our previous work, hybrid non-uniform subdivision surfaces [19], to achieve optimal convergence rates in isogeometric analysis. We introd…

math.NA2014

Dimensions of Biquadratic and Bicubic Spline Spaces over Hierarchical T-meshes

Chao Zeng, Fang Deng, Xin Li +1

This paper discusses the dimensions of biquadratic C1 spline spaces and bicubic C2 spline spaces over hierarchical T-meshes using the smoothing cofactor-conformality method. We obt…

math.NA2014★ 122 cited

Hierarchical analysis-suitable T-splines: Formulation, Bézier extraction, and application as an adaptive basis for isogeometric analysis

Emily J. Evans, Michael A. Scott, Xin Li +1

In this paper hierarchical analysis-suitable T-splines (HASTS) are developed. The resulting spaces are a superset of both analysis-suitable T-splines and hierarchical B-splines. Th…

cs.GR2012★ 1 cited

Analysis-suitable T-splines: characterization, refineability, and approximation

Xin Li, M. A. Scott

We establish several fundamental properties of analysis-suitable T-splines which are important for design and analysis. First, we characterize T-spline spaces and prove that the sp…

math.AG2012★ 4 cited

On the dimension of splines spaces over T-meshes with smoothing cofactor-conformality method

Xin Li

The present paper provides a general formula for the dimension of spline space over T-meshes using smoothing cofactor-conformality method. And we introduce a new notion, Diagonaliz…