Multiresolution analysis using the wavelet transform has received considerable attention in recent years by researchers in various fields. It is a powerful tool for efficiently representing signals and images at multiple levels of detail with many inherent advantages, including compression, level-of-detail display, progressive transmission, level-of-detail editing, filtering, modeling, fractals and multifractals, etc. This book aims to provide a simple formalization and new clarity on multiresolution analysis, rendering accessible obscure techniques, and merging, unifying or completing the technique with encoding, feature extraction, compressive sensing, multifractal analysis and texture analysis. It is aimed at industrial engineers, medical researchers, university lab attendants, lecturer-researchers and researchers from various specializations. It is also intended to contribute to the studies of graduate students in engineering, particularly in the fields of medical imaging, intelligent instrumentation, telecommunications, and signal and image processing. Given the diversity of the problems posed and addressed, this book paves the way for the development of new research themes, such as brain–computer interface (BCI), compressive sensing, functional magnetic resonance imaging (fMRI), tissue characterization (bones, skin, etc.) and the analysis of complex phenomena in general. Throughout the chapters, informative illustrations assist the uninitiated reader in better conceptualizing certain concepts, taking the form of numerous figures and recent applications in biomedical engineering, communication, multimedia, finance, etc.
1. Introduction to Multiresolution Analysis, Abdeldjalil Ouahabi.
2. Discrete Wavelet Transform-Based Multifractal Analysis, Abdeldjalil Ouahabi.
3. Multimodal Compression Using JPEG 2000: Supervised Insertion Approach, Régis Fournier and Amine Nait-Ali.
4. Cerebral Microembolism Synchronous Detection with Wavelet Packets, Jean-Marc Girault.
Abdeldjalil Ouahabi is Professor and Director of Polytech’Tours’s Signal & Image Group. He is currently Deputy Director for International Relations at Polytech’Tours (Ecole Polytechnique de l’Université de Tours). His main research area is image and signal processing. He has a strong interest in sampling theories multiresolution algorithms, optimal filtering, spectral analysis, wavelets, and the use of fractals for image processing. He is the author of over 100 published papers in these areas.
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