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Wavelet Transforms | A Quick Study - New York University

Wavelet Transforms A Quick StudyIvan W. SelesnickPolytechnic UniversityBrooklyn, NYSeptember 27, 2007 This is an expanded version of the QuickStudy inPhysics Todaymagazine, October, Wavelet transform has become a useful computational tool for a variety of signal and imageprocessing applications. For example, the Wavelet transform is useful for the compression of digitalimage files; smaller files are important for storing images using less memory and for transmittingimages faster and more reliably. The FBI uses Wavelet Transforms for compressing digitally scannedfingerprint images. NASA s Mars Rovers used Wavelet Transforms for compressing images acquiredby their 18 cameras. The Wavelet -based algorithm implemented in software onboard the MarsRovers is designed to meet the special requirements of deep-space communication.

implemented the wavelet transform here, the standard deviation of the noise in the wavelet rep-resentation is the same as the standard deviation of the noise that was added to the signal. The red lines displayed in this noisy wavelet representation indicates 2˙ n. Note that relatively few

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