CASIA OpenIR  > 中国科学院分子影像重点实验室
Multilevel refinable triangular PSP-splines (Tri-PSPS)
Li, Qingde1; Tian, Jie2
Source PublicationCOMPUTERS & MATHEMATICS WITH APPLICATIONS
2015-10-01
Volume70Issue:8Pages:1781-1798
SubtypeArticle
AbstractA multi-level spline technique known as partial shape preserving splines (PSPS) (Li and Tian, 2011) has recently been developed for the design of piecewise polynomial freeform geometric surfaces, where the basis functions of the PSPS can be directly built from an arbitrary set of polygons that partitions a giving parametric domain. This paper addresses a special type of PSPS, the triangular PSPS (Tri-PSPS), where all spline basis functions are constructed from a set of triangles. Compared with other triangular spline techniques, Tri-PSPS have several distinctive features. Firstly, for each given triangle, the corresponding spline basis function for any required degree of smoothness can be expressed in closed-form and directly written out in full explicitly as piecewise bivariate polynomials. Secondly, Tri-PSPS are an additive triangular spline technique, where the spline function built from a given triangle can be replaced with a set of refined spline functions built on a set of smaller triangles that partition the initial given triangle. In addition, Tri-PSPS are a multilevel spline technique, Tri-PSPS surfaces can be designed to have a continuously varying levels of detail, achieved simply by specifying a proper value for the smoothing parameter introduced in the spline functions. In terms of practical implementation, Tri-PSPS are a parallel computing friendly spline scheme, which can be easily implemented on modern programmable GPUs or on high performance computer clusters, since each of the basis functions of Tri-PSPS can be directly computed independent of each other in parallel. (C) 2015 Elsevier Ltd. All rights reserved.
KeywordTriangular Splines Refinable Splines Spline Basis Functions Multilevel Splines Partition Of Unity Spline Approximation
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1016/j.camwa.2015.07.017
WOS KeywordCOMPUTATIONAL DOMAIN ; PARAMETERIZATION
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000362611000005
Citation statistics
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/10041
Collection中国科学院分子影像重点实验室
Corresponding AuthorLi, Qingde
Affiliation1.Univ Hull, Dept Comp Sci, Kingston Upon Hull HU6 7RX, N Humberside, England
2.Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Li, Qingde,Tian, Jie. Multilevel refinable triangular PSP-splines (Tri-PSPS)[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2015,70(8):1781-1798.
APA Li, Qingde,&Tian, Jie.(2015).Multilevel refinable triangular PSP-splines (Tri-PSPS).COMPUTERS & MATHEMATICS WITH APPLICATIONS,70(8),1781-1798.
MLA Li, Qingde,et al."Multilevel refinable triangular PSP-splines (Tri-PSPS)".COMPUTERS & MATHEMATICS WITH APPLICATIONS 70.8(2015):1781-1798.
Files in This Item: Download All
File Name/Size DocType Version Access License
1-s2.0-S089812211500(4842KB)期刊论文作者接受稿开放获取CC BY-NC-SAView Download
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Li, Qingde]'s Articles
[Tian, Jie]'s Articles
Baidu academic
Similar articles in Baidu academic
[Li, Qingde]'s Articles
[Tian, Jie]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Li, Qingde]'s Articles
[Tian, Jie]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: 1-s2.0-S0898122115003521-main.pdf
Format: Adobe PDF
This file does not support browsing at this time
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.