Wavelets From a Statistical Perspective

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.

List of contents

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.

About the author

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

Summary

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.

Product details

• Authors: Maarten Jansen, Maarten (Free University Jansen, Jansen Maarten
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 27.05.2024
• EAN: 9781032208206
• ISBN: 978-1-0-3220820-6
• No. of pages: 326
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; BUSINESS & ECONOMICS / Statistics, MATHEMATICS / Probability & Statistics / General, Probability & statistics, Functional analysis & transforms, Probability and statistics, Functional analysis and transforms