| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4626110 | Applied Mathematics and Computation | 2016 | 18 Pages |
Abstract
We present a method for the precise determination of the volume of subsets of RdRd 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jan Hakenberg, Ulrich Reif,