Knowledge Commons of Institute of Automation,CAS
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 | |
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. |
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