Scattered Points Interpolation with Globally Smooth B-Spline Surface using Iterative Knot Insertion

doi:10.1016/j.cad.2022.103244

CORC > 自动化研究所 > 中国科学院自动化研究所 > 模式识别国家重点实验室 > 三维可视计算

	Scattered Points Interpolation with Globally Smooth B-Spline Surface using Iterative Knot Insertion
	Jiang, Xin 1,2,6; Wang, Bolun 2,5,6; Huo, Guanying 1,2,6; Su, Cheng 1,2,6; Yan, Dong-Ming 3,4; Zheng, Zhiming 1,2,6
刊名	COMPUTER-AIDED DESIGN
	2022-07-01
卷号	148 页码:17
关键词	B-spline surface Scattered data points interpolation Knot vector construction Fairing energy minimization
ISSN号	0010-4485
DOI	10.1016/j.cad.2022.103244
通讯作者	Wang, Bolun(wangbolun@buaa.edu.cn)
英文摘要	We introduce a new method to interpolate scattered 3D data points with a single B-spline surface patch which is globally smooth. Given a set of scattered 3D data points and their corresponding parametrization, our method first constructs a set alpha of B-spline bases using a weighted strategy, and inserts knots to the knot vectors based on alpha. Then, the knot insertion procedure is iterated until a set beta of B-spline bases exists, which indicates the existence of the interpolation surface. Finally, by applying the fairing energy minimizing with interpolation constraints, a globally smooth B-spline surface which interpolates the data points can be produced. Experimental results demonstrate that the generated Bspline surfaces often have fewer control points than those of traditional methods, while keeping the scattered data points interpolated accurately. The implementation of our algorithm and the scripts to reproduce all the results are available at https://github.com/wangbolun300/sparse_data. (c) 2022 Elsevier Ltd. All rights reserved.
资助项目	National Key Research and Development Program of China[2020YFA0713700] ; National Natural Science Foundation of China[12171023] ; National Natural Science Foundation of China[12001028] ; National Natural Science Foundation of China[62172415] ; Open Research Fund Program of State key Laboratory of Hydroscience and Engineering, China[sklhse-2022-D-04]
WOS关键词	REDUCING CONTROL POINTS ; APPROXIMATION ; PARAMETERIZATION ; CURVES
WOS研究方向	Computer Science
语种	英语
出版者	ELSEVIER SCI LTD
WOS记录号	WOS:000793295700002
资助机构	National Key Research and Development Program of China ; National Natural Science Foundation of China ; Open Research Fund Program of State key Laboratory of Hydroscience and Engineering, China
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/49365]
专题	模式识别国家重点实验室_三维可视计算
通讯作者	Wang, Bolun
作者单位	1.Zhengzhou Aerotropolis Inst Artificial Intelligen, Zhengzhou, Henan, Peoples R China 2.Peng Cheng Lab, Shenzhen, Guangdong, Peoples R China 3.Tsinghua Univ, State Key Lab Hydrosci & Engn, Beijing 100084, Peoples R China 4.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100190, Peoples R China 5.King Abdullah Univ Sci & Technol, Riyadh, Saudi Arabia 6.Beihang Univ, Inst Artificial Intelligence, Key Lab Math Informat & Behav Semant LMIB, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Xin,Wang, Bolun,Huo, Guanying,et al. Scattered Points Interpolation with Globally Smooth B-Spline Surface using Iterative Knot Insertion[J]. COMPUTER-AIDED DESIGN,2022,148:17.
APA	Jiang, Xin,Wang, Bolun,Huo, Guanying,Su, Cheng,Yan, Dong-Ming,&Zheng, Zhiming.(2022).Scattered Points Interpolation with Globally Smooth B-Spline Surface using Iterative Knot Insertion.COMPUTER-AIDED DESIGN,148,17.
MLA	Jiang, Xin,et al."Scattered Points Interpolation with Globally Smooth B-Spline Surface using Iterative Knot Insertion".COMPUTER-AIDED DESIGN 148(2022):17.