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The 2-D continuous wavelet transform (CWT) has been used by a number of authors, in a wide variety of physical problems.1 - 3 In all cases, its main purpose is the analysis of images, that is, the detection of specific features such as hierarchical structures or particular discontinuities, edges, filaments, contours, boundaries between areas of different luminosity, etc. Of course, the type of wavelet chosen depends on the precise aim. In fact, the 2-D CWT is based on the 2-D dimensional Euclidean group with dilations, the scr-called twcr-dimensional similitude group, SIM(2).4 It is the purpose of this paper to explore this connection further and draw some of its practical consequences.
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