Title :
Chapter 1: Three Point Stationary and Non-stationary Subdivision Schemes
Author :
Daniel, Sunita ; Shunmugaraj, P.
Author_Institution :
Dept. of Math. & Stat., Indian Inst. of Technol., Kanpur
Abstract :
We present a family of 3-point binary approximating C-1 stationary subdivision schemes. The Chaikin 2-point scheme and a known 3-point scheme belong to this family of schemes. We also present a 3-point C-1 non-stationary subdivision scheme. This non-stationary scheme reproduces functions spanned by {1, sin(alphax), cos(alphax)}, 0 < alpha < pi/2 and, in particular, circles, ellipses and so on.
Keywords :
approximation theory; computational geometry; binary approximating stationary subdivision schemes; nonstationary subdivision schemes; three point stationary subdivision schemes; Computer graphics; Interpolation; Lagrangian functions; Mathematical model; Mathematics; Polynomials; Solid modeling; Statistics; curves; non-stationary scheme; stationary scheme; subdivision;
Conference_Titel :
Geometric Modeling and Imaging, 2008. GMAI 2008. 3rd International Conference on
Conference_Location :
London
Print_ISBN :
978-0-7695-3270-7
DOI :
10.1109/GMAI.2008.13
