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Nummer 2695
Autor Hakenberg, Jan
Reif, Ulrich
Titel On the Volume of Sets Bounded by Refinable Functions
Upload 19.11.2014

Abstract:
We present a method for the precise determination of the volume of subsets of R^d which are bounded by a hypersurface parametrized by a set of refinable functions. The derivation is based on the linear refinement equations rather than on closed form expressions of these functions, which may not be available. In particular, our approach makes it possible to compute the area of planar domains bounded by subdivision curves or the volume of spatial domains bounded by subdivision surfaces.

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Verantwortliche Autorin: Anke Meier-Dörnberg

 


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