Signal and Image Multiresolution Analysis (Hardcover)

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.

近年來，使用小波轉換進行多解析度分析已經引起各個領域的研究人員的廣泛關注。它是一種強大的工具，可以以多個細節層次高效地表示信號和圖像，具有許多固有優勢，包括壓縮、細節層次顯示、漸進式傳輸、細節層次編輯、過濾、建模、分形和多重分形等。

本書旨在對多解析度分析進行簡單的形式化和新的清晰解釋，使模糊的技術變得易於理解，並將其與編碼、特徵提取、壓縮感知、多重分形分析和紋理分析相結合、統一或完善。它針對工業工程師、醫學研究人員、大學實驗室助理、講師研究人員和各個專業領域的研究人員。它還旨在為工程學研究生的學習做出貢獻，特別是在醫學影像、智能儀器、電信和信號圖像處理等領域。

鑑於所提出和解決的問題的多樣性，本書為新的研究主題的發展鋪平了道路，例如腦-電腦界面（BCI）、壓縮感知、功能性磁共振成像（fMRI）、組織特徵化（骨骼、皮膚等）和一般複雜現象的分析。在各章中，豐富的插圖幫助初學者更好地理解某些概念，形式包括許多圖片和在生物醫學工程、通信、多媒體、金融等領域的最新應用。