Powell-Sabin Spline Prewavelets on the Hexagonal Lattice
Powell-Sabin Spline Prewavelets on the Hexagonal Lattice
In this paper we give an explicit construction of compactly supported prewavelets on differentiable, twodimensional, piecewise polynomial quadratic finite element spaces of L 2 (ℝ2), sampled on the hexagonal grid. The obtained prewavelet basis is stable in the Sobolev spaces \( \mathcal{H}^s \) for \( |s| < \tfrac{5} {2} \). …