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

doi:10.1016/j.cad.2022.103244

CASIA OpenIR > 多模态人工智能系统全国重点实验室 > 三维可视计算

	Scattered Points Interpolation with Globally Smooth B-Spline Surface using Iterative Knot Insertion
	Jiang, Xin 1,5,6; Wang, Bolun 1,2,5; Huo, Guanying 1,5,6; Su, Cheng 1,5,6; Yan, Dong-Ming3,4 ; Zheng, Zhiming 1,5,6
发表期刊	COMPUTER-AIDED DESIGN
ISSN	0010-4485
	2022-07-01
卷号	148 页码:17
通讯作者	Wang, Bolun(wangbolun@buaa.edu.cn)
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.
关键词	B-spline surface Scattered data points interpolation Knot vector construction Fairing energy minimization
DOI	10.1016/j.cad.2022.103244
关键词[WOS]	REDUCING CONTROL POINTS ; APPROXIMATION ; PARAMETERIZATION ; CURVES
收录类别	SCI
语种	英语
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]
项目资助者	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
WOS研究方向	Computer Science
WOS类目	Computer Science, Software Engineering
WOS记录号	WOS:000793295700002
出版者	ELSEVIER SCI LTD
引用统计	被引频次：3[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/173211/49366
专题	多模态人工智能系统全国重点实验室_三维可视计算
通讯作者	Wang, Bolun
作者单位	1.Beihang Univ, Inst Artificial Intelligence, Key Lab Math Informat & Behav Semant LMIB, Beijing, Peoples R China 2.King Abdullah Univ Sci & Technol, Riyadh, Saudi Arabia 3.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100190, Peoples R China 4.Tsinghua Univ, State Key Lab Hydrosci & Engn, Beijing 100084, Peoples R China 5.Peng Cheng Lab, Shenzhen, Guangdong, Peoples R China 6.Zhengzhou Aerotropolis Inst Artificial Intelligen, Zhengzhou, Henan, 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.