Subdivision curves on surfaces with arc-length control

Luiz Velho | Estrada-Sarlabous, Jorge | Hernandez-Mederos, Victoria | Martinez-Morera, Dimas

Keywords: subdivision curves | manifolds

In this paper we present a new non-stationary, 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

Anexos:

• SubdSurfLarc.pdf