Title :
A Fast Normal-Based Subdivision Scheme for Curve and Surface Design
Author :
Mao Aihua ; Chen Jun ; Luo Jie
Author_Institution :
Sch. of Comput. Sci. & Eng., South China Univ. of Technol., Guangzhou, China
Abstract :
Different from the 4-points interpolation subdivision curve scheme, the proposed subdivision curve scheme in this paper is based on cube Bezier curve. More importantly, the normal vectors are used to generate a circle from a triangle with the advantages of only 3 vertices and 3 edges. Furthermore, we make new contributions in the subdivision surface scheme compared to the existing methods. It has excellent smoothness and also can be fast implemented.
Keywords :
computational geometry; interpolation; 4-points interpolation subdivision curve scheme; cube Bezier curve; curve design; fast normal-based subdivision scheme; subdivision surface scheme; surface design; Computational modeling; Computer graphics; Computers; Design automation; Educational institutions; Interpolation; Vectors; Bezier curve; Curve and surface interpolation; Fast implementation; Normal-based subdivision;
Conference_Titel :
Computer-Aided Design and Computer Graphics (CAD/Graphics), 2013 International Conference on
Conference_Location :
Guangzhou
DOI :
10.1109/CADGraphics.2013.57