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Foil 16 Introduction to Wavelets (2)

From CPS600 Compression Presentation CPS600 Spring 1995 -- March 1995. by Roman Markowski and Geoffrey Fox * See also color IMAGE

Image: low frequency events are spread out in time and high frequency events are localized in time
Further structure of Image is not uniform over x or y direction of image but rather in blocks where say head or a particular detail is. This is why JPEG uses FFT's in blocks. Wavelets automatically build in block structure adaptively so get more detail where you need it.
sines or cosines (FFT) - cannot provide information about the time behavior of signal because they have infinite support
impulse function - frequency behavior is not described because of its infinitesimally small support
wavelets - set of basis functions, each with finite support of a different width
wide variety of wavelet-based image compression schemes reported in the literature



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