We present two- and three-dimensional nonseparable wavelets. They are
obtained from discrete-time bases by iterating filter banks. We consid
er three sampling lattices: quincunx, separable by two in two dimensio
ns, and FCO. The design methods are based either on cascade structures
or on the McClellan transformation in the quincunx case. We give a fe
w design examples. In particular, the first example of an orthonormal
2-D wavelet basis with symmetries is constructed.