Gaussian-curvature-derived invariants for isometry

	Gaussian-curvature-derived invariants for isometry
	Cao Weiguo 1; Hu Ping 1; Liu Yujie 2; Gong Ming 1; Li Hua 1
	2013
发表期刊	SCIENCE CHINA-INFORMATION SCIENCES
ISSN	1674-733X
卷号	56 期号:9
摘要	Surface deformations without tearing or stretching, preserving the intrinsic properties, are called isometries. This paper presents a new definition of Gaussian curvature moments (GCMs) by the integral of n power of Gaussian curvature. Then a series of moment invariants, called Gaussian curvature moment invariants (GCMIs), are derived via GCMs. These moment invariants share many good properties under rigid transformations and isometric non-rigid transformations, and Gaussian-Bonnet theorem is a special case of GCMI. GCMIs are invariant under isometry and scaling transformations. We construct an invariant vector as a descriptor for a surface via GCMIs, and a modified chi(2) distance is defined as a measure of similarity. Finally, experiments show that it is a reliable descriptor for isometric non-rigid shape.
关键词	MOMENT INVARIANTS SURFACES RECOGNITION MESHES OBJECT DISTRIBUTIONS SEGMENTATION COMPUTATION FRAMEWORK DISTANCES rigid object non-rigid object isometry scale Gaussian curvature moment moment invariant
语种	英语
资助项目	[National Natural Science Foundation of China] ; [National Basic Research Program of China]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/29134
专题	中国科学院计算技术研究所期刊论文_中文
作者单位	1.中国科学院计算技术研究所 2.中国石油大学
第一作者单位	中国科学院计算技术研究所
推荐引用方式 GB/T 7714	Cao Weiguo,Hu Ping,Liu Yujie,et al. Gaussian-curvature-derived invariants for isometry[J]. SCIENCE CHINA-INFORMATION SCIENCES,2013,56(9).
APA	Cao Weiguo,Hu Ping,Liu Yujie,Gong Ming,&Li Hua.(2013).Gaussian-curvature-derived invariants for isometry.SCIENCE CHINA-INFORMATION SCIENCES,56(9).
MLA	Cao Weiguo,et al."Gaussian-curvature-derived invariants for isometry".SCIENCE CHINA-INFORMATION SCIENCES 56.9(2013).