Preprint D68/2009
Subdivision curves on surfaces with arc-length control
Luiz Velho | Estrada-Sarlabous, Jorge | Hernandez-Mederos, Victoria | Martinez-Morera, Dimas
Keywords: nonlinear subdivision scheme. arc-length parametrization
In this paper we present a new non-linear interpolatory curve subdivision scheme, suitable for designing curves on surfaces. We show that the scheme converges and the subdivision curve is continuous. Moreover, starting with a certain natural parametrization of the initial polygon, we obtain a subdivision curve parametrized by a multiple of the arc-length.