In recent work nonlinear subdivision schemes which operate on manifold-valued data have been successfully analyzed with the aid of so-called proximity conditions bounding the diffe...
In this paper a class of subdivision schemes generalizing the algorithm of Loop is presented. The stencils have the same support as those from the algorithm of Loop, but allow a v...
A new class of subdivision schemes is presented. Each scheme in this class is a quasi-interpolatory scheme with a tension parameter, which reproduces polynomials up to a certain d...
Sung Woo Choi, Byung-Gook Lee, Yeon Ju Lee, Jungho...
In the implementation of subdivision scheme, three of the most important issues are smoothness, size of support, and approximation order. Our objective is to introduce an improved...
In this paper we develop a new description for subdivision surfaces based on a graph grammar formalism. Subdivision schemes are specified by a context sensitive grammar in which ...
The motion of fluids has been a topic of study for hundredsof years. In its most general setting, fluid flow is governed by a system of non-linear partial differential equation...
Recent years have witnessed dramatic growth in the use of subdivision schemes for graphical modeling and animation, especially for the representation of smooth, oftentimes complex...
The recent non-uniform subdivision approach extends traditional uniform subdivision schemes with variable rules, offering additional shape parameters (such as knot spacings) for f...
A novel patch-based tessellation method for a dual subdivision scheme, the Doo-Sabin subdivision, is presented. Patch-based refinement for face-split subdivision schemes such as ...