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» Polynomial Reproduction in Subdivision
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PG
2007
IEEE
15 years 6 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
15 years 6 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»
14 years 11 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»
14 years 11 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»
14 years 11 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