Title :
Singularities of C-Bézier curves
Author :
Chen, Wei ; Chen, Ting ; Wang, Wentao
Author_Institution :
Sch. of Math. & Inf., Shanghai Lixin Univ. of Commerce, Shanghai, China
Abstract :
In this paper, we show that the singularities of C-Bézier curves can be controlled, and we prove that if a nth degree C-Bézier curve has a singular point, then it can be explicitly computed. It is useful when using C-Bézier curves for curve and surface modeling.
Keywords :
curve fitting; C-Bezier curves; curve modeling; singular point; singularities; surface modeling; Computational modeling; Computers; Educational institutions; Polynomials; Shape; Terminology; C-Bézier curves; Discriminant; Singularity; cusp; rational Bézier curves;
Conference_Titel :
Biomedical Engineering and Informatics (BMEI), 2010 3rd International Conference on
Conference_Location :
Yantai
Print_ISBN :
978-1-4244-6495-1
DOI :
10.1109/BMEI.2010.5639750
