Bugra_wavelet - Experimenting with Multidimensional Wavelet...

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Experimenting with Multi- dimensional Wavelet Transformations Tarık Arıcı and Buğra Gedik
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Outline of Project Goals Writing discrete wavelet transformation and inverse transformation wrappers (in Matlab) to handle multi- dimensional data; possible uses include: 2D Images, 3D turbulence data or multi-attribute sensor readings Using wavelets in some example applications Lossy compression, De-noising for images, Self- similarity analysis Studying the phases of the wavelet filters (that delays the wavelet smoothes) and approximately computing the delay amount using DSP methods Using this on Mammogram reconstruction Possible uses of Bayesian? (not done)
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Assume D dimensions Perform D sweeps, one across each dimension, making recursive calls for each D -1 dimensional slice Top level recursive calls go D -1 levels deep before calling the 1 dimensional wavelet transformation functions As a result 2^ D -1 detail groups and a single smooth group is
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Bugra_wavelet - Experimenting with Multidimensional Wavelet...

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