@article{(Open Science Index):https://publications.waset.org/pdf/15282,
	  title     = {Arc Length of Rational Bezier Curves and Use for CAD Reparametrization},
	  author    = {Maharavo Randrianarivony},
	  country	= {},
	  institution	= {},
	  abstract     = {The length  of a given rational B'ezier curve is
efficiently estimated. Since a rational B'ezier function is nonlinear,
it is usually impossible to evaluate its length exactly. The
length is approximated by using subdivision and the accuracy
of the approximation n is investigated. In order to improve
the efficiency, adaptivity is used with some length estimator.
A rigorous theoretical analysis of the rate of convergence of
n to  is given. The required number of subdivisions to
attain a prescribed accuracy is also analyzed. An application
to CAD parametrization is briefly described. Numerical results
are reported to supplement the theory.},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {2},
	  number    = {8},
	  year      = {2008},
	  pages     = {608 - 613},
	  ee        = {https://publications.waset.org/pdf/15282},
	  url   	= {https://publications.waset.org/vol/20},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 20, 2008},
	}