ABSTRACT
This procedure gives rise to two symmetric, orthogonal, compactly supported, continuous scaling functions. They are then used to construct two wavelets, one symmetric and other antisymmetric. While in the multiresolution analysis of Mallat and Meyer we have a single "mother" wavelet, all of whose translates and dilates are orthogonal to each other, here we have two "mother" wavelets, all of whose translates and dilates are orthogonal to each other. (P. R. Massopust of Sam Houston State University has also worked on this; see [Donovan et al. 31.) The work with fractal wavelets has been extended to two dimensions.
