Mixed finite element methods for geometric modeling using general fourth order geometric flows
文献类型：期刊论文
| 作者 | Xu, Guoliang |
| 刊名 | COMPUTER AIDED GEOMETRIC DESIGN
 |
| 出版日期 | 2009-05-01 |
| 卷号 | 26期号:4页码:378-395 |
| 关键词 | Geometric partial differential equation Mixed finite element method Surface denoising Surface blending Hole filling Surface mesh refinement |
| ISSN号 | 0167-8396 |
| DOI | 10.1016/j.cagd.2008.12.004 |
| 英文摘要 | A variational formulation of a general form fourth order geometric partial differential equation is derived, and based on which three versions of the mixed finite element method are developed. Several surface modeling problems, including surface denoising, surface blending, hole filling and surface mesh refinement with the G(1) continuity, are taken into account. The used geometric partial differential equation is universal, containing several well-known geometric partial differential equations as its special cases. The proposed method is general which can be used to construct surfaces for geometric design as well as simulate the behaviors of various geometric partial differential equations. Experimental results show that the method is efficient and gives very desirable results. (C) 2009 Elsevier B.V. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000265813300003 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8189]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, Guoliang |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Guoliang. Mixed finite element methods for geometric modeling using general fourth order geometric flows[J]. COMPUTER AIDED GEOMETRIC DESIGN,2009,26(4):378-395. |
| APA | Xu, Guoliang.(2009).Mixed finite element methods for geometric modeling using general fourth order geometric flows.COMPUTER AIDED GEOMETRIC DESIGN,26(4),378-395. |
| MLA | Xu, Guoliang."Mixed finite element methods for geometric modeling using general fourth order geometric flows".COMPUTER AIDED GEOMETRIC DESIGN 26.4(2009):378-395. |
入库方式： OAI收割
来源：数学与系统科学研究院
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