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» Polynomial Reproduction in Subdivision
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PG
2007
IEEE
14 years 1 months ago
Exact Evaluation of Non-Polynomial Subdivision Schemes at Rational Parameter Values
In this paper, we describe a method for exact evaluation of a limit mesh defined via subdivision on a uniform grid of any size. Other exact evaluation technique either restrict t...
Scott Schaefer, Joe D. Warren
PG
2007
IEEE
14 years 1 months ago
QAS: Real-Time Quadratic Approximation of Subdivision Surfaces
We introduce QAS, an efficient quadratic approximation of subdivision surfaces which offers a very close appearance compared to the true subdivision surface but avoids recursion,...
Tamy Boubekeur, Christophe Schlick
COMPUTING
2007
127views more  COMPUTING 2007»
13 years 7 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
2007
132views more  CAGD 2007»
13 years 7 months ago
Normals of subdivision surfaces and their control polyhedra
For planar spline curves and bivariate box-spline functions, the cone of normals of a polynomial spline piece is enclosed by the cone of normals of its spline control polyhedron. ...
Ingo Ginkel, Jörg Peters, Georg Umlauf
CAGD
2008
98views more  CAGD 2008»
13 years 7 months ago
Exact evaluation of limits and tangents for non-polynomial subdivision schemes
In this paper, we describe a method for exact evaluation of a limit mesh defined via subdivision and its associated tangent vectors on a uniform grid of any size. Other exact eval...
S. Schaefer, J. Warren