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IMAMS
2007

Tuning Subdivision Algorithms Using Constrained Energy Optimization

8 years 6 months ago
Tuning Subdivision Algorithms Using Constrained Energy Optimization
In this paper a method is presented to fair the limit surface of a subdivision algorithm around an extraordinary point. The eigenvalues and eigenvectors of the subdivision matrix determine the continuity and shape of the limit surface. The dominant, sub-dominant and subsub-dominant eigenvalues should satisfy linear and quadratic equality- and inequality-constraints to guarantee continuous normal and bounded curvature globally. The remaining eigenvalues need only satisfy linear inequality-constraints. In general, except for the dominant eigenvalue, all eigenvalues can be used to optimize the shape of the limit surface with our method.
Ingo Ginkel, Georg Umlauf
Added 29 Oct 2010
Updated 29 Oct 2010
Type Conference
Year 2007
Where IMAMS
Authors Ingo Ginkel, Georg Umlauf
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