Preprint D54/2008
Curve subdivision with arc-length control
Ioannis Ivrissimtzis | Hernadez , Victoria | Estrada, Jorge | Morales, Silvio
Keywords: Non-stationary interpolatory subdivision scheme | arc-length parametrization
In this paper we present a new non-stationary, interpolatory, curve subdivision scheme. We show that the scheme converges and the subdivision curve is continuous. Moreover, starting with the chord length parametrization of the initial polygon, we obtain a subdivision curve arc-length parametrized. A bound for the Hausdorff distance between the limit curve and the initial polygon is also obtained.