G(1) surface modelling using fourth order geometric flows
文献类型：期刊论文
| 作者 | Xu, GL; Pan, Q |
| 刊名 | COMPUTER-AIDED DESIGN
 |
| 出版日期 | 2006-04-01 |
| 卷号 | 38期号:4页码:392-403 |
| 关键词 | geometric PDEs surface blending N-sided hole filling free-form surface fitting mixed finite element method |
| ISSN号 | 0010-4485 |
| DOI | 10.1016/j.cad.2005.11.002 |
| 英文摘要 | We use three fourth order geometric partial differential equations to efficiently solve several surface modelling problems, including surface blending, N-sided hole filling and free-form Surface fitting with the G(1) boundary continuity. The non-linear equations we use include the surface diffusion flow, the quasi surface diffusion flow and the Willmore flow. These non-linear equations are discretized using a mixed finite element method based on a combination of the Loop's basis and the linear basis. The proposed approach is simple, efficient and gives very desirable results. (c) 2005 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000236999700010 |
| 出版者 | ELSEVIER SCI LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2417]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, GL |
| 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, GL,Pan, Q. G(1) surface modelling using fourth order geometric flows[J]. COMPUTER-AIDED DESIGN,2006,38(4):392-403. |
| APA | Xu, GL,&Pan, Q.(2006).G(1) surface modelling using fourth order geometric flows.COMPUTER-AIDED DESIGN,38(4),392-403. |
| MLA | Xu, GL,et al."G(1) surface modelling using fourth order geometric flows".COMPUTER-AIDED DESIGN 38.4(2006):392-403. |
入库方式： OAI收割
来源：数学与系统科学研究院
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