Title :
P-ary Subdivision Generalizing B-splines
Author :
Zheng, Hongchan ; Hu, Meigui ; Peng, Guohua
Author_Institution :
Dept. of Appl. Math., Northwestern Polytech. Univ., Xi´´an, China
Abstract :
Based on the p-ary subdivision rules for B-splines, we show how to design more general subdivision schemes that preserve the B-spline smoothness exactly or almost. We illustrate the technique with new 4-point C5 binary, 4-point C3 ternary and C4 ternary subdivision schemes.
Keywords :
splines (mathematics); B-splines; p-ary subdivision rules; Equations; Mathematics; Spline; B-spline; generating function; p-ary subdivision; refinement equation;
Conference_Titel :
Computer and Electrical Engineering, 2009. ICCEE '09. Second International Conference on
Conference_Location :
Dubai
Print_ISBN :
978-1-4244-5365-8
Electronic_ISBN :
978-0-7695-3925-6
DOI :
10.1109/ICCEE.2009.204