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
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;
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
DOI :
10.1109/AIMSEC.2011.6009862
