Title :
Exploring Rational Bezier Curves through Iterated Function Systems
Author :
Prasad, Bhagwati ; Katiyar, Kuldip
Author_Institution :
Dept. of Math., Jaypee Inst. of Inf. Technol. Univ., Noida, India
Abstract :
Bezier and rational Bezier curves are important elements in computer aided geometric design (CAGD) due to their capability to represent both the free-form setting and the algebraic one as well. Therefore, such curves are popularly accepted as a standard representation for designing problems. The purpose of this paper is to present the rational Bezier curves as attractors of some iterated function systems.
Keywords :
CAD; computational geometry; curve fitting; iterative methods; computer aided geometric design; iterated function systems; rational Bezier curves; Fractals; Iterated function system; de Casteljau subdivision algorithm; rational Bezier curve;
Conference_Titel :
Emerging Trends in Engineering and Technology (ICETET), 2010 3rd International Conference on
Conference_Location :
Goa
Print_ISBN :
978-1-4244-8481-2
Electronic_ISBN :
2157-0477
DOI :
10.1109/ICETET.2010.73
