Some compactly supported dual wavelets associated to the Quincunx matrix in \(\mathbb{R}^3\) (Q6591738)

Here the authors construct a family of compactly supported dual wavelets associated with the Quincunx matrix on \(\mathbb{R}^3\). The constructed family has dual wavelets with any desired number of vanishing moments and any fixed degree of regularity and symmetry with respect to some point. Moreover, they also present dual wavelets on \(L^2(\mathbb{R}^2)\) associated with some dilation matrices with determinant 2.