Estimating differential quantities from point cloud based on a linear fitting of normal vectors

	Estimating differential quantities from point cloud based on a linear fitting of normal vectors
	Cheng ZhangLin; Zhang XiaoPeng
发表期刊	SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
	2009-03-01
卷号	52 期号:3 页码:431-444
文章类型	Article
摘要	Estimation of differential geometric properties on a discrete surface is a fundamental work in computer graphics and computer vision. In this paper, we present an accurate and robust method for estimating differential quantities from unorganized point cloud. The principal curvatures and principal directions at each point are computed with the help of partial derivatives of the unit normal vector at that point, where the normal derivatives are estimated by fitting a linear function to each component of the normal vectors in a neighborhood. This method takes into account the normal information of all neighboring points and computes curvatures directly from the variation of unit normal vectors, which improves the accuracy and robustness of curvature estimation on irregular sampled noisy data. The main advantage of our approach is that the estimation of curvatures at a point does not rely on the accuracy of the normal vector at that point, and the normal vectors can be refined in the process of curvature estimation. Compared with the state of the art methods for estimating curvatures and Darboux frames on both synthetic and real point clouds, the approach is shown to be more accurate and robust for noisy and unorganized point cloud data.
关键词	Differential Geometric Properties Point Cloud Normal Fitting Weingarten Matrix
WOS标题词	Science & Technology ; Technology
关键词[WOS]	SURFACE ; MESHES
收录类别	SCI
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000264106500005
引用统计	被引频次：13[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/2802
专题	多模态人工智能系统全国重点实验室_多媒体计算
作者单位	Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Sino French Lab LIAMA, Beijing 100080, Peoples R China
第一作者单位	模式识别国家重点实验室
推荐引用方式 GB/T 7714	Cheng ZhangLin,Zhang XiaoPeng. Estimating differential quantities from point cloud based on a linear fitting of normal vectors[J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,2009,52(3):431-444.
APA	Cheng ZhangLin,&Zhang XiaoPeng.(2009).Estimating differential quantities from point cloud based on a linear fitting of normal vectors.SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,52(3),431-444.
MLA	Cheng ZhangLin,et al."Estimating differential quantities from point cloud based on a linear fitting of normal vectors".SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES 52.3(2009):431-444.