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	Integral invariants for robust geometry processing
	Pottmann, Helmut ; Wallner, Johannes ; Huang, Qi-Xing ; Yang, Yong-Liang
	2010-10-12 ; 2010-10-12
关键词	Geometry processing Curvature Integral invariant Stability 3D shape understanding POLYGONAL MODELS SURFACES CURVATURE MESHES EQUATIONS REPAIR Computer Science, Software Engineering Mathematics, Applied
中文摘要	Differential invariants of curves and surfaces such as curvatures and their derivatives play a central role in Geometry Processing. They are, however, sensitive to noise and minor perturbations and do not exhibit the desired multi-scale behavior. Recently, the relationships between differential invariants and certain integrals over small neighborhoods have been used to define efficiently computable integral invariants which have both a geometric meaning and useful stability properties. This paper considers integral invariants defined via distance functions, and the stability analysis of integral invariants in general. Such invariants proved useful for many tasks where the computation of shape characteristics is important. A prominent and recent example is the automatic reassembling of broken objects based on correspondences between fracture surfaces. (C) 2008 Elsevier B.V. All rights reserved.
语种	英语 ; 英语
出版者	ELSEVIER SCIENCE BV ; AMSTERDAM ; PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/78739]
专题	清华大学
推荐引用方式 GB/T 7714	Pottmann, Helmut,Wallner, Johannes,Huang, Qi-Xing,et al. Integral invariants for robust geometry processing[J],2010, 2010.
APA	Pottmann, Helmut,Wallner, Johannes,Huang, Qi-Xing,&Yang, Yong-Liang.(2010).Integral invariants for robust geometry processing..
MLA	Pottmann, Helmut,et al."Integral invariants for robust geometry processing".(2010).

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