DocumentCode
3159823
Title
Recursive representation of transformation matrices of periodic B-spline bases
Author
Pan, Rijing ; Liu, Xiaofen
Author_Institution
Coll. of Math. & Comput. Sci., Fujian Normal Univ., Fuzhou, China
fYear
2011
fDate
8-10 Aug. 2011
Firstpage
4142
Lastpage
4145
Abstract
With periodic B-spline bases closed B-spline curves can be represented compactly. The transformation matrices of periodic B-spline bases provide a mathematical model for the conversion between different representations of closed B-pline curves and the relevant surfaces. In this paper, we first present the existence conditions for the transformation matrices of periodic B-spline bases. Then we propose and demonstrate a simple recursive formula for the transformation matrices of periodic B-spline bases.
Keywords
matrix algebra; splines (mathematics); B-spline curve; mathematical model; periodic B-spline base; recursive representation; simple recursive formula; transformation matrix; Algorithm design and analysis; Approximation methods; Computational modeling; Computer graphics; Computers; Spline; Surface waves; B-spline basis; closed B-spline curve; periodicity; recursive representation; transformation matrix;
fLanguage
English
Publisher
ieee
Conference_Titel
Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC), 2011 2nd International Conference on
Conference_Location
Deng Leng
Print_ISBN
978-1-4577-0535-9
Type
conf
DOI
10.1109/AIMSEC.2011.6009862
Filename
6009862
Link To Document