Multiscale Transforms with Application to Image Processing

Abstract

This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paperThis Springer imprint is published by Springer Nature The registered company is Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore PrefaceDigital image processing is a popular, rapidly growing area of electrical and computer engineering. Digital image processing has enabled various intelligent applications such as face recognition, signature recognition, iris recognition, forensics, automobile detection, and military vision applications. Its growth is leveraged by technological innovations in the fields of computer processing, digital imaging, and mass storage devices. Traditional analog imaging applications are now switching to digital systems to utilize their usability and affordability. Important examples include photography, medicine, video production, remote sensing, and security monitoring. These sources produce a huge volume of digital image data every day. Theoretically, image processing can be considered as the processing of a two-dimensional image using a digital computer. The outcome of image processing could be an image, a set of features, or characteristics related to the image. Most image processing methods treat an image as a two-dimensional signal and implement standard signal processing techniques.Many image processing techniques were of only academic interest because of their computational complexity. However, recent advances in processing and memory technology made image processing a vital and cost-effective technology in a host of applications. Multi-scale image transformations, such as Fourier transform, wavelet transform, complex wavelet transform, quaternion wavelet transform, ridgelet transform, contourlet transform, curvelet transform, and shearlet transform, play an extreme...

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