Construction of quadrilateral subdivision surfaces with prescribed G(1) boundary conditions
文献类型：期刊论文
| 作者 | Pan, Qing1; Xu, Guoliang2 |
| 刊名 | COMPUTER-AIDED DESIGN
 |
| 出版日期 | 2011-06-01 |
| 卷号 | 43期号:6页码:605-611 |
| 关键词 | Catmull-Clark's subdivision surface Geometric partial differential equations G(1) Continuity |
| ISSN号 | 0010-4485 |
| DOI | 10.1016/j.cad.2011.02.009 |
| 英文摘要 | We present a scheme that combines the subdivision technique and the geometric partial differential equations method which provides us an efficient algorithm for designing high-quality surfaces with arbitrary topology structure. We use several fourth-order geometric partial differential equations to construct Catmull-Clark's subdivision surfaces with prescribed G(1) boundary conditions where a mixed finite element method is based on the modified Catmull-Clark's subdivision scheme. Our approach can uniformly handle surface construction both with specified boundary normals and with interior sharp edges, which is a powerful tool for designing the shape of surfaces. (C) 2011 Elsevier Ltd. All rights reserved. |
| 资助项目 | NSFC[10701071] ; NSFC[10990013] ; NSFC[60773165] ; Hunan Normal University[ET10901] |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000291337300005 |
| 出版者 | ELSEVIER SCI LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12081]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Pan, Qing |
| 作者单位 | 1.Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Pan, Qing,Xu, Guoliang. Construction of quadrilateral subdivision surfaces with prescribed G(1) boundary conditions[J]. COMPUTER-AIDED DESIGN,2011,43(6):605-611. |
| APA | Pan, Qing,&Xu, Guoliang.(2011).Construction of quadrilateral subdivision surfaces with prescribed G(1) boundary conditions.COMPUTER-AIDED DESIGN,43(6),605-611. |
| MLA | Pan, Qing,et al."Construction of quadrilateral subdivision surfaces with prescribed G(1) boundary conditions".COMPUTER-AIDED DESIGN 43.6(2011):605-611. |
入库方式： OAI收割
来源：数学与系统科学研究院
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