Scattered Points Interpolation with Globally Smooth B-Spline Surface using Iterative Knot Insertion
文献类型：期刊论文
| 作者 | Jiang, Xin1,2,6; Wang, Bolun2,5,6; Huo, Guanying1,2,6; Su, Cheng1,2,6; Yan, Dong-Ming3,4 ; Zheng, Zhiming1,2,6
|
| 刊名 | COMPUTER-AIDED DESIGN
 |
| 出版日期 | 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. |
| WOS关键词 | REDUCING CONTROL POINTS ; APPROXIMATION ; PARAMETERIZATION ; CURVES |
| 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研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000793295700002 |
| 出版者 | ELSEVIER SCI LTD |
| 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 |
| 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. |
入库方式： OAI收割
来源：自动化研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。