Maarten Jansen

Wavelets from a Statistical Perspective (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 346
• Erscheinungstermin: 18. April 2022
• Englisch
• ISBN-13: 9781000564143
• Artikelnr.: 63655713

Autorenporträt

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

Inhaltsangabe

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

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

Rezensionen

"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.