Characterization of bivariate hierarchical quartic box splines on a three-directional grid

Abstract

We consider the adaptive refinement of bivariate quartic C-smooth box-spline spaces on the three-directional (type-I) grid G. The polynomial segments of these box splines belong to a certain subspace of the space of quartic polynomials, which will be called the space of special quartics. Given a finite sequence (G)l=0,...,N of dyadically refined grids, we… (More)
DOI: 10.1016/j.cagd.2015.11.004

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