  After re-casting the $n$-dimensional wavelet construction problem as a
feasibility problem with constraints arising from the requirements of compact
support, smoothness and orthogonality, the Douglas--Rachford algorithm is
employed in the search for one- and two-dimensional wavelets. New
one-dimensional wavelets are produced as well as genuinely non-separable
two-dimensional wavelets in the case where the dilation on the plane is the
standard $D_af(t)=a^{-1}f(t/a)$ $(t\in{\mathbb R}^n, a>0)$.
