Title :
Some Non-Stationary Subdivision Schemes
Author :
Daniel, Sunita ; Shunmugaraj, P.
Author_Institution :
Indian Inst. of Technol., Kanpur
Abstract :
In this paper we present some non-stationary binary and ternary subdivision schemes with parameters for generating curves. Some of these schemes reproduce some trigonometric functions and, in particular, circles. One of these is a non-stationary version of the Chaikin´s scheme and it generates trigonometric splines.
Keywords :
curve fitting; interpolation; splines (mathematics); Chaikin scheme; generating curves; nonstationary binary subdivision; nonstationary interpolation; nonstationary ternary subdivision; trigonometric functions; trigonometric splines; Computer graphics; Mathematics; Solid modeling; Statistics;
Conference_Titel :
Geometric Modeling and Imaging, 2007. GMAI '07
Conference_Location :
Zurich
Print_ISBN :
0-7695-2901-1
DOI :
10.1109/GMAI.2007.30
