TY - JFULL
AU - Maharavo Randrianarivony
PY - 2008/9/
TI - Arc Length of Rational Bezier Curves and Use for CAD Reparametrization
T2 - International Journal of Mathematical and Computational Sciences
SP - 607
EP - 613
VL - 2
SN - 1307-6892
UR - https://publications.waset.org/pdf/15282
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 20, 2008
N2 - 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.
ER -