Second Generation Wavelets and Applications introduces "second generation wavelets" and the lifting transform that can be used to apply the traditional benefits of wavelets into a wide range of new areas in signal processing, data processing and computer graphics. This book details the mathematical fundamentals of the lifting transform and illustrates the latest applications of the transform in signal and image processing, numerical analysis, scattering data smoothing and rendering of computer images.
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Wavelets are mathematical functions that divide data into different frequency components, and then study each component with a resolution matched to its scale. First generation wavelets have proved useful in many applications in engineering and computer science. However they cannot be used with non-linear, data-adaptive decompositions and non-equispaced data Second Generation Wavelets and Applications introduces "second generation wavelets" and the lifting transform that can be used to apply the traditional benefits of wavelets into a wide range of new areas in signal processing, data processing and computer graphics. This book details the mathematical fundamentals of the lifting transform and illustrates the latest applications of the transform in signal and image processing, numerical analysis, scattering data smoothing and rendering of computer images.
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dual vanishing moments, primal vanishing moments, primal lifting step, general lifting scheme, scaling basis functions, adaptive lifting, classical wavelet transform, irregular point sets, nonlinear lifting, dual lifting steps, dual basis functions, normal offsets, polynomial prediction, admissible wavelets, splitting stage, wavelet basis functions, detail coefficients, subdivision scheme, local offsets, decision map, scaling coefficients, update coefficients, mexican hat wavelet, prediction filter, update filter Browse Sample Pages:
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dual vanishing moments, primal vanishing moments, primal lifting step, general lifting scheme, scaling basis functions, adaptive lifting, classical wavelet transform, irregular point sets, nonlinear lifting, dual lifting steps, dual basis functions, normal offsets, polynomial prediction, admissible wavelets, splitting stage, wavelet basis functions, detail coefficients, subdivision scheme, local offsets, decision map, scaling coefficients, update coefficients, mexican hat wavelet, prediction filter, update filter Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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