Wavelets from a Statistical Perspective

ISBN-13: 9781032200675 / Angielski / Twarda / 2022 / 326 str.

Brussels) Jansen Maarten (Free University

Opis

This book offers a modern, 2nd generation look on wavelets, far beyond the rigid setting of the equispaced, dyadic wavelets in the early days. With the methods of this book, based on the lifting scheme, researchers can set up a wavelet or another multiresolution analysis adapted to their data, ranging from images to scattered data.

Recenzje

"The book is a very much welcome addition to the vast literature on wavelets... Overall, the text is a very handy account of more modern take on wavelets with some statistical flavour. It can serve as a good textbook on wavelets or become a valuable reference companion given that one spends enough time on an initial, systematic study of the contents."

Krzysztof Podgórski, Lund University, Sweden, International Statistical Review, 2022.

Spis treści

Chapter 1 Wavelets: nonlinear processing in multiscale sparsity Chapter 2 Wavelet building blocks Chapter 3 Using lifting for the design of a wavelet transform Chapter 4 Wavelet transforms from factored refinement schemes Chapter 5 Dyadic wavelets Chapter 6 Dyadic wavelet design in the frequency domain Chapter 7 Design of dyadic wavelets Chapter 8 Approximation in a wavelet basis Chapter 9 Overcomplete wavelet transforms Chapter 10 Two-dimensional wavelet transforms Chapter 11 The multiscale local polynomial transform Chapter 12 Estimation in a wavelet basis Outlook References Subject Index List of Recurrent symbols

O autorze

Maarten Jansen is professor at the Mathematics and Computer Science departments of the Université libre de Bruxelles.