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15

AMC
2016

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On the volume of sets bounded by refinable functions

8 years 29 days ago

On the volume of sets bounded by refinable functions

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We present a method for the precise determination of the volume of subsets of Rd 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.

Jan Hakenberg, Ulrich Reif

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Added	29 Mar 2016
Updated	29 Mar 2016
Type	Journal
Year	2016
Where	AMC
Authors	Jan Hakenberg, Ulrich Reif

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