Abstract : This paper proposes a method of Gn blending multiple parametric surfaces in polar coordinates. It models the geometric continuity conditions of parametric surfaces in polar coordinates and presents a mechanism of converting a Cartesian parametric surface into its polar coordinate form. The basic idea is first to reparameterize the parametric blendees into the form of polar coordinates. Then they are blended simultaneously by a basis function in the complex domain. To extend its compatibility, we also propose a method of converting polar coordinate blending surface into N NURBS patches. One application of this technique is to fill N-sided holes. Examples are presented to show its feasibility and practicability.
https://hal.inria.fr/inria-00517941 Contributor : Thss TsinghuaConnect in order to contact the contributor Submitted on : Thursday, September 16, 2010 - 5:59:15 AM Last modification on : Thursday, February 3, 2022 - 11:14:58 AM Long-term archiving on: : Friday, December 2, 2016 - 3:27:41 AM