SUBDIVISION

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The Weighted Basis for PHT-Splines
《Computer Modeling in Engineering & Sciences》2024年第1期739-760,共22页Zhiguo Yong Hongmei Kang Falai Chen 
The work was supported by the NSF of China(No.11801393);the Natural Science Foundation of Jiangsu Province,China(No.BK20180831).
PHT-splines are defined as polynomial splines over hierarchical T-meshes with very efficient local refinement properties.The original PHT-spline basis functions constructed by the truncation mechanism have a decay phe...
关键词：PHT-splines partition of unity weighted bases PHT-splines SUBDIVISION 
Geometric Multigrid Method for Isogeometric Analysis
《Computer Modeling in Engineering & Sciences》2021年第3期1033-1052,共20页Houlin Yang Bingquan Zuo Zhipeng Wei Huixin Luo Jianguo Fei 
supported by the Natural Science Foundation of Hubei Province(CN)(Grant No.2019CFB693);the Research Foundation of the Education Department of Hubei Province(CN)(Grant No.B2019003);the open Foundation of the Key Laboratory of Metallurgical Equipment and Control of Education Ministry(CN)(Grant No.2015B14).
The isogeometric analysis method(IGA)is a new type of numerical method solving partial differential equations.Compared with the traditional finite element method,IGA based on geometric spline can keep the model consis...
关键词：Isogeometric method geometric multigrid method reflecting matrix subdivision strategy 
Blending Basic Shapes By C-Type Splines and Subdivision Scheme
《Computer Modeling in Engineering & Sciences》2019年第7期45-62,共18页Xiang Li Mei-E Fang Qian Qi 
This work described in this article was supported by the National Science Foundation of China(61772164,61272032);Provincial Key Platforms and Major Scientific Research Projects in Universities and Colleges of Guangdong(2017KTSCX143);the Natural Science Foundation of Zhejiang Province(LY17F020025).
In this article,we adopt the C-type spline of degree 2 to model and blend basic shapes including conics and circle arcs.The C-type spline belongs to theωB-spline category of splines that are capable of blending polyn...
关键词：Basic SHAPES BLENDING C-type splines SUBDIVISION C^1-continuous 
Subdivision of Uniform ωB-Spline Curves and Two Proofs of Its C^(k-2)-Continuity
《Computer Modeling in Engineering & Sciences》2018年第5期263-280,共18页Jing Tang Mei-e Fang Guozhao Wang 
the National Natural Science Foundation of China(61772164,61761136010);the Natural Science Foundation of Zhejiang Province(LY17F020025).
ωB-splines have many optimal properties and can reproduce plentiful commonly-used analytical curves.In this paper,we further propose a non-stationary subdivision method of hierarchically and efficiently generatingωB...
关键词：ωB-spline SUBDIVISION C^(k-2)-continuity asymptotic equivalence approximation order 
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