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T-Splines Local Refinement Based on Half-Edge Data Structure

delete2026-01-01
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PRE
AI
F
Feng Xiao
A
Aizeng Wang *
C
Chuan He
L
Lianjuan Wan
T
Tao Ning
DOI:10.1007/978-981-95-4821-7_11delete
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Abstract

Abstract

En 中文
Compared with other geometric modeling methods, T-spline have had a profound impact on multiple aspects of intelligent manufacturing through flexible local refinement ability and efficient data representation. For the convenience of programming, the Half-edge data structure is usually used to calculate T-spline. Based on this, this paper presents T-splines local refinement based on Half-edge data structure. We have defined the blending function object and based on this, we determine the legitimacy of the T-mesh. This paper also presents the information update situation of T mesh based on Half-edge data structure during local refinement, and avoids the generation of L-junction, thereby avoiding the overly complex topology structure of the T-mesh.
Keywords:
T-splines
Local refinement
Half-edge data structure

Journal

A
ARTIFICIAL INTELLIGENCE AND ROBOTICS, ISAIR 2025, PT I
IF:
0
Papers:
26
Citations:
0

Organization

B
Beihang University
Scholars:
5.2W
Papers: 4.1W
Citations: 37
Cited Papers

Cited Papers

T-spline simplification and local refinement
err2004-08-01
err0
errOAAI
errThomas W. Sederberg; David L. Cardon; G. Thomas Finnigan; Nicholas S. North; Jianmin Zheng; Tom Lyche
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T-splines and T-NURCCs
err2003-07-01
err0
PREAI
errThomas W. Sederberg; Jianmin Zheng; Almaz Bakenov; Ahmad Nasri
errShare
errSave
Modified T-splines
err2013-12-01
err0
PREAI
errHongmei Kang; Falai Chen; Jiansong Deng
errShare
errSave
Isogeometric analysis using T-splines
err2010-01-01
err906
errOAAI
errBazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Evans, J. A.; Hughes, T. J. R.; Lipton, S.; Scott, M. A.; Sederberg, T. W.
errShare
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On linear independence of T-spline blending functions
err2012-01-01
err0
PREAI
errXin Li; Jianmin Zheng; Thomas W. Sederberg; Thomas J.R. Hughes; Michael A. Scott
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Local refinement of analysis-suitable T-splines
err2012-03-01
err332
PREAI
errScott, M. A.; Li, X.; Sederberg, T. W.; Hughes, T. J. R.
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