Title :
An improved subdivision scheme for integration of approximation and interpolation
Author :
Cao, Dansen ; Lin, Shujin ; Liu, Chengming ; Pan, Jun ; Cao, Guangyuan
Abstract :
We present a modified blending subdivision scheme achieving C1 continuity with extensive applications. The main idea is to find the relationship between interpolating subdivision schemes and approximating subdivision schemes. We introduce a parameter to control transition from approximation to interpolation. Our method can produce a limit curve intervening between approximating and interpolating. Experiments have shown that this new scheme can solve the noticeable ¿shrinking effects¿ occurring in interpolating subdivision schemes and ¿popping effects¿ occurring in approximating schemes.
Keywords :
curve fitting; interpolation; C1 continuity; approximating subdivision schemes; curve intervention; interpolating subdivision schemes; popping effects; shrinking effects; Application software; Computational complexity; Continuing education; Educational technology; Information science; Interpolation; Mesh generation; Shape control; Spline; Sun; Approximating subdivision; Continuity; Interpolating subdivision;
Conference_Titel :
Computer-Aided Industrial Design & Conceptual Design, 2009. CAID & CD 2009. IEEE 10th International Conference on
Conference_Location :
Wenzhou
Print_ISBN :
978-1-4244-5266-8
Electronic_ISBN :
978-1-4244-5268-2
DOI :
10.1109/CAIDCD.2009.5375229