CHAPTER 6 Wavelet Zoom

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 Lipschitz exponents. Singularities and edges are detected from wavelet transform local maxima at multiple scales. These maxima define a geometric scale-space support from which signal and image approximations are recovered.

Nonisolated singularities appear in highly irregular signals such as multifractals. The wavelet ...

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