Multiresolution analysis in non-homogeneous media

Summary form only given, as follows. Various versions of wavelet analysis valid in a non-translation-invariant setting are described. Here, the scale is allowed to change at various points in space, as well as the analyzing wavelets. Such a generalized time (space) frequency analysis could find uses in a variety of signal and image processing contexts, as well as in the study of partial differential operators with variable coefficients arising in a nonhomogeneous medium, and gives rise to fast numerical algorithms. This multiresolution analysis, say for an edge detection problem, takes into account the variable geometry and sensitivity of the receptors