@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}, }