Title :
A Convolution Formula for Normalized Trigonometric B-splines and Its Application to Geometric Modeling
Author :
Daniel, Sunita ; Shunmugaraj, P.
Author_Institution :
Sch. of Comput. & Syst. Sci., Jawaharlal Nehru Univ., New Delhi, India
Abstract :
In this paper we present sum and convolution formulae for normalized uniform trigonometric B-splines of any odd order. As an application of the convolution formula we derive a subdivision algorithm for generating normalized trigonometric spline curves of any odd order.
Keywords :
computational geometry; splines (mathematics); convolution formula; geometric modeling; normalized trigonometric B-splines; trigonometric spline curves; Algorithm design and analysis; Computers; Convolution; Mathematical model; Polynomials; Spline; Trignometric spline curve; computer aided geometric design; convolution formula; geomteric modelling; subdivision algorithm;
Conference_Titel :
Information and Computing (ICIC), 2011 Fourth International Conference on
Conference_Location :
Phuket Island
Print_ISBN :
978-1-61284-688-0
DOI :
10.1109/ICIC.2011.20
