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Anisotropic diffusion of surfaces and functions on surfaces
文献类型：期刊论文
| 作者 | Bajaj, CL; Xu, GL |
| 刊名 | ACM TRANSACTIONS ON GRAPHICS
 |
| 出版日期 | 2003 |
| 卷号 | 22期号:1页码:4-32 |
| 关键词 | algorithms experimentation surface function diffusion Loop's subdivision Riemannian manifold texture mapping noise reduction |
| ISSN号 | 0730-0301 |
| 英文摘要 | We present a unified anisotropic geometric diffusion PDE model for smoothing (fairing) out noise both in triangulated two-manifold surface meshes in IR(3) and functions defined on these surface meshes, while enhancing curve features on both by careful choice of an anisotropic diffusion tensor. We combine the C(1) limit representation of Loop's subdivision for triangular surface meshes and vector functions on the surface mesh with the established diffusion model to arrive at a discretized version of the diffusion problem in the spatial direction. The time direction discretization then leads to a sparse linear system of equations. Iteratively solving the sparse linear system yields a sequence of faired (smoothed) meshes as well as faired functions. |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000179844100001 |
| 出版者 | ASSOC COMPUTING MACHINERY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19061]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Bajaj, CL |
| 作者单位 | 1.Univ Texas, Dept Comp Sci, Austin, TX 78712 USA 2.Chinese Acad Sci, Inst Computat Math, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bajaj, CL,Xu, GL. Anisotropic diffusion of surfaces and functions on surfaces[J]. ACM TRANSACTIONS ON GRAPHICS,2003,22(1):4-32. |
| APA | Bajaj, CL,&Xu, GL.(2003).Anisotropic diffusion of surfaces and functions on surfaces.ACM TRANSACTIONS ON GRAPHICS,22(1),4-32. |
| MLA | Bajaj, CL,et al."Anisotropic diffusion of surfaces and functions on surfaces".ACM TRANSACTIONS ON GRAPHICS 22.1(2003):4-32. |
入库方式： OAI收割
来源：数学与系统科学研究院
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