Anisotropic diffusion of surfaces and functions on surfaces

	Anisotropic diffusion of surfaces and functions on surfaces
	Bajaj, CL ; Xu, GL
刊名	ACM TRANSACTIONS ON GRAPHICS
	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
出版者	ASSOC COMPUTING MACHINERY
WOS记录号	WOS:000179844100001
内容类型	期刊论文
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.