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SIAMMA
2010
90views more  SIAMMA 2010»
12 years 11 months ago
A General Proximity Analysis of Nonlinear Subdivision Schemes
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...
Philipp Grohs
COMPUTING
2007
127views more  COMPUTING 2007»
13 years 4 months ago
Analyzing a generalized Loop subdivision scheme
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...
Ingo Ginkel, Georg Umlauf
CAGD
2006
78views more  CAGD 2006»
13 years 4 months ago
Stationary subdivision schemes reproducing polynomials
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...
AMC
2007
112views more  AMC 2007»
13 years 4 months ago
A ternary 4-point approximating subdivision scheme
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...
Kwan Pyo Ko, Byung-Gook Lee, Gang Joon Yoon
SGP
2003
13 years 5 months ago
Stellar Subdivision Grammars
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 ...
Luiz Velho
SIGGRAPH
1999
ACM
13 years 8 months ago
Subdivision Schemes for Fluid Flow
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...
Henrik Weimer, Joe D. Warren
PG
2000
IEEE
13 years 8 months ago
FEM-Based Dynamic Subdivision Splines
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...
Hong Qin
PG
2002
IEEE
13 years 9 months ago
A Physics-Based Framework for Subdivision Surface Design with Automatic Rules Control
The recent non-uniform subdivision approach extends traditional uniform subdivision schemes with variable rules, offering additional shape parameters (such as knot spacings) for f...
Hui Xie, Hong Qin
IEEECGIV
2009
IEEE
13 years 11 months ago
GPU Supported Patch-Based Tessellation for Dual Subdivision
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 ...
Fengtao Fan, Fuhua (Frank) Cheng