We convert any quad manifold mesh into an at least C1 surface consisting of bi-cubic tensor-product splines with localized perturbations of degree bi-5 near non-4-valent vertices....
Global parametrization of surfaces requires singularities (cones) to keep distortion minimal. We describe a method for finding cone locations and angles and an algorithm for glob...
We present a new approach toward the rational parametrization of canal surfaces. According to our previous work, every canal surface with rational (respectively polynomial)spine c...
Hee Cheol Cho, Hyeong In Choi, Song-Hwa Kwon, Doo ...
Converting a quadrilateral input mesh into a C1 surface with one bi-3 tensorproduct spline patch per facet is a classical challenge. We give explicit local averaging formulas for ...
Topologically consistent algorithms for the intersection and trimming of free-form parametric surfaces are of fundamental importance in computer-aided design, analysis, and manufa...
Rida T. Farouki, Chang Yong Han, Joel Hass, Thomas...