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Chapter 6. Wavelet Zoom - Pg. 205

CHAPTER Wavelet Zoom 6 A wavelet transform can focus on localized signal structures with a zooming procedure that progressively reduces the scale parameter. Singularities and irregular structures often carry essential information in a signal. For example, discontinuities in images may correspond to occlusion contours of objects in a scene. The wavelet transform amplitude across scales is related to the local signal regularity and Lips- chitz exponents. Singularities and edges are detected from wavelet transform local maxima at multiple scales. These maxima define a geometric scale­space support from which signal and image approximations are recovered. Nonisolated singularities appear in highly irregular signals such as multifractals. The wavelet transform takes advantage of multifractal self-similarities to compute the