Wavelets, Introduction to
Wavelets emerged in the late 1980s as a valuable new tool in science and engineering, and as a topic forfruitful mathematical research. Wavelet transforms are now regularly applied in areas such as image processing, statistical analysis, andseismic research. Wavelets are at the heart of the WSQ standard used by the United States' Federal Bureau of Investigation to compress fingerprint images . They have been implemented in the Red professional digital video camera  and they are now being used in an attempt to analyzepaintings by famous artists . In the past twenty years, related “-lets”tools have also emerged, such as ridgelets and shearlets (see Curvelets and Ridgelets). The 1992 book by Daubechies  is a classic in the field.
Wavelet analysis shares with Fourier analysis the key idea of having a basis of functions with which to analyze signals and otherfunctions. While Fourier analysis uses sine and cosine functions (or complex exponentials) – which are smooth and...
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