Wavelets provide an alternative approach to signal processing and constitute a link between mathematics, physics and engineering. The underlying mathematics is simple and the whole process is very fast. The wavelet transform maps the input signal to its coefficients with respect to a basis of functions, constructed by dilation and translation of a mother function. Multiresolution first appeared for analyzing seismic responses and, at present, it is used for sound coding, image compression, image restoration, noise suppression, fingerprint matching, numerical analysis, human vision simulation, volume rendering, image querying, and so on. In particular, we applied different wavelets algorithms to study facial expressions and to process X and γ rays data provided by the BeppoSAX astronomical satellite.

WAFER - Modified à trous algorithm with linear spline kernel (image).


MSH15-52, LECS 0.1-2KeV - Original à trous algorithm with cubic spline kernel (image).