T-spline Surface Fairing Based on Centripetal Re-parameterization

被引：1

作者：

Yu, Lin ^{[1
]}

He, Chuan ^{[2
]}

Tan, Weixiao ^{[2
]}

Xue, Yutong ^{[2
]}

Zhao, Gang ^{[2
]}

Wang, Aizeng ^{[2
]}

机构：

[1] Beijing Inst Astronaut Syst Engn, Beijing, Peoples R China

[2] Beihang Univ, Sch Mech Engn & Automat, Beijing 100191, Peoples R China

来源：

ARTIFICIAL INTELLIGENCE AND ROBOTICS, ISAIR 2023 | 2024年 / 1998卷

关键词：

T-spline; T-mesh; Re-parameterization; Surface fairing; LOCAL REFINEMENT; LINEAR INDEPENDENCE;

D O I：

10.1007/978-981-99-9109-9_1

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Compared with non-uniform rational B-splines, T-splines have advantages in data compression, surface merging, and complex surface representation. This paper puts forward a novel T-spline surface fairing algorithm based on centripetal re-parameterization which can improve the knot distribution of T-mesh. Some numerical examples are given to verify the effectiveness and practicability of the algorithm. The Gaussian andMean curvature graphs show that the proposed method has a good surface fairing effect.

引用

页码：1 / 8

页数：8

共 22 条

[1] Isogeometric analysis using T-splines [J].

Bazilevs, Y. ;

Calo, V. M. ;

Cottrell, J. A. ;

Evans, J. A. ;

Hughes, T. J. R. ;

Lipton, S. ;

Scott, M. A. ;

Sederberg, T. W. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (5-8) :229-263

[2] Similarity Maps and Field-Guided T-Splines: a Perfect Couple [J].

Campen, Marcel ;

Zorin, Denis .

ACM TRANSACTIONS ON GRAPHICS, 2017, 36 (04)

[3] IsoGeometric analysis using T-splines on two-patch geometries [J].

da Veiga, L. Beira ;

Buffa, A. ;

Cho, D. ;

Sangalli, G. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (21-22) :1787-1803

[4] Adaptive isogeometric analysis by local h-refinement with T-splines [J].

Doerfel, Michael R. ;

Juettler, Bert ;

Simeon, Bernd .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (5-8) :264-275

[5] Construction of smooth branching surfaces using T-splines [J].

Ginnis, A. I. ;

Kostas, K. V. ;

Kaklis, P. D. .

COMPUTER-AIDED DESIGN, 2017, 92 :22-32

[6]

Jianmin Zheng, 2012, Curves and Surfaces. 7th International Conference, Curves and Surfaces 2010. Revised Selected Papers, P731, DOI 10.1007/978-3-642-27413-8_48

[7] Machining Error Inspection of T-Spline Surface by On-Machine Measurement [J].

Lai, Jintao ;

Fu, Jianzhong ;

Shen, Hongyao ;

Gan, Wenfeng ;

Chen, Zichen .

INTERNATIONAL JOURNAL OF PRECISION ENGINEERING AND MANUFACTURING, 2015, 16 (03) :433-439

[8] CHOOSING NODES IN PARAMETRIC CURVE INTERPOLATION [J].

LEE, ETY .

COMPUTER-AIDED DESIGN, 1989, 21 (06) :363-370

[9] AS plus plus T-splines: Linear independence and approximation [J].

Li, Xin ;

Zhang, Jingjing .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 333 :462-474

[10] On linear independence of T-spline blending functions [J].

Li, Xin ;

Zheng, Jianmin ;

Sederberg, Thomas W. ;

Hughes, Thomas J. R. ;

Scott, Michael A. .

COMPUTER AIDED GEOMETRIC DESIGN, 2012, 29 (01) :63-76

← 1 2 3 →