实例介绍
【实例简介】
我看过的最深入浅出的小波书籍：该书以haar小波为具体实例逐步扩展，既有实例，也有理论深入！
WAVELET THEORY This page intentionally left blank WAVELET THEORY An Elementary Approach With Applications David K ruch Metropolitan state college of denver Patrick J. Van Fleet University of St. Thomas WILEY A JOHN WILEY SONS, INC, PUblicatIon The image in Figure 7. 6(a)appears courtesy of David Kubes. The photographs on the front cover, Figure 4.4, and Figure 4 1 1 appear courtesy of radka Tezaur Copyright C 2009 by John Wiley sons, Inc. All rights reserved Published by John Wiley Sons, Inc, Hoboken, New Jersey Published simultaneously in Canada No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc, 222 Rosewood Drive, Danvers, MA 01923, (978)750-8400,fax (978)750-4470,oronthewebatwww.copyright.comRequeststothePublisherforpermissionshould be addressed to the Permissions department, John Wiley sons, Inc, lll River Street, Hoboken, NJ 07030,(201)748-6011,fax(201)748-6008,oronlineathttp://www.wileycom/go/permission Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives or written sales materials. The advice and strategies contained herein may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor author shall be liable for any loss of profit or any other commercial damages, including but not limited to special. incidental, consequential, or other damages For general information on our other products and services or for technical support, please contact our Customer Care Department within the United States at(800)762-2974, outside the United States at (317)572-3993 or fax(317)572-4002 wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic format. For information about Wiley products, visit our web site at www.wiley.com Library of Congress Cataloging-in-Publication Data Ruch David K,1959- Wavelet theory: an elementary approach with applications /David K ruch, Patrick J. Van Fleet Includes bibliographical references and index. ISBN978-0-470-38840-2( cloth) 1. Wavelets(Mathematics)2. Transformations(Mathematics)3. Digital Images- Mathematics. I. Van Fleet. Patrick 1962-Il. Title QA403.3V3752009 515'2433dc22 2009017249 Printed in the United States of america 1098765432 To pete and laurel for a lifetime of encouragement DKR) To Verena, Sam, Matt and Rachel for your unfailing support (PVF This page intentionally left blank CONTENTS Preface XI Acknowledgments XIX 1 The Complex Plane and the Space L2(R) 1.1 Complex numbers and Basic Operations Problems 1.2 The Space /2 R Problems 1.3 Inner products Problems 25 1.4 Bases and Projections 26 Problems 2 Fourier eries and fourier Transformations 2.1 Euler's Formula and the Complex Exponential Function Problems 2.2 Fourier Series 37 v vIl CONTENTS Problems 49 2.3 The Fourier Transform Problems 2.4 Convolution and B-Splines Problems 82 3 Haar spaces 85 3.1 The haar Space v 86 Problems 3.2 The General Haar Space v. 93 Problems 107 3.3 The Haar Wavelet Space Wo 108 Problems 119 3.4 The General Haar Wavelet space 120 Problems 133 3.5 Decomposition and Reconstruction 134 Problems 3.6 Summary 41 4 The Discrete Haar Wavelet transform and applications 5 4.1 The One-Dimensional Transform 146 Problems 159 4.2 The Two-Dimensional transform 163 Problems 171 4.3 Edge detection and naive image compression 172 5 Multiresolution Analysis 179 5.1 Multiresolution Analysis 180 oblems 196 5.2 The view from the transform domain 200 Problems 212 5.3 Examples of multiresolution analyses Problems 224 5.4 Summary 225 6 Daubechies Scaling Functions and Wavelets 233 6. 1 Constructing the Daubechies Scaling Functions 234 【实例截图】
【核心代码】
我看过的最深入浅出的小波书籍：该书以haar小波为具体实例逐步扩展，既有实例，也有理论深入！
WAVELET THEORY This page intentionally left blank WAVELET THEORY An Elementary Approach With Applications David K ruch Metropolitan state college of denver Patrick J. Van Fleet University of St. Thomas WILEY A JOHN WILEY SONS, INC, PUblicatIon The image in Figure 7. 6(a)appears courtesy of David Kubes. The photographs on the front cover, Figure 4.4, and Figure 4 1 1 appear courtesy of radka Tezaur Copyright C 2009 by John Wiley sons, Inc. All rights reserved Published by John Wiley Sons, Inc, Hoboken, New Jersey Published simultaneously in Canada No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc, 222 Rosewood Drive, Danvers, MA 01923, (978)750-8400,fax (978)750-4470,oronthewebatwww.copyright.comRequeststothePublisherforpermissionshould be addressed to the Permissions department, John Wiley sons, Inc, lll River Street, Hoboken, NJ 07030,(201)748-6011,fax(201)748-6008,oronlineathttp://www.wileycom/go/permission Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives or written sales materials. The advice and strategies contained herein may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor author shall be liable for any loss of profit or any other commercial damages, including but not limited to special. incidental, consequential, or other damages For general information on our other products and services or for technical support, please contact our Customer Care Department within the United States at(800)762-2974, outside the United States at (317)572-3993 or fax(317)572-4002 wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic format. For information about Wiley products, visit our web site at www.wiley.com Library of Congress Cataloging-in-Publication Data Ruch David K,1959- Wavelet theory: an elementary approach with applications /David K ruch, Patrick J. Van Fleet Includes bibliographical references and index. ISBN978-0-470-38840-2( cloth) 1. Wavelets(Mathematics)2. Transformations(Mathematics)3. Digital Images- Mathematics. I. Van Fleet. Patrick 1962-Il. Title QA403.3V3752009 515'2433dc22 2009017249 Printed in the United States of america 1098765432 To pete and laurel for a lifetime of encouragement DKR) To Verena, Sam, Matt and Rachel for your unfailing support (PVF This page intentionally left blank CONTENTS Preface XI Acknowledgments XIX 1 The Complex Plane and the Space L2(R) 1.1 Complex numbers and Basic Operations Problems 1.2 The Space /2 R Problems 1.3 Inner products Problems 25 1.4 Bases and Projections 26 Problems 2 Fourier eries and fourier Transformations 2.1 Euler's Formula and the Complex Exponential Function Problems 2.2 Fourier Series 37 v vIl CONTENTS Problems 49 2.3 The Fourier Transform Problems 2.4 Convolution and B-Splines Problems 82 3 Haar spaces 85 3.1 The haar Space v 86 Problems 3.2 The General Haar Space v. 93 Problems 107 3.3 The Haar Wavelet Space Wo 108 Problems 119 3.4 The General Haar Wavelet space 120 Problems 133 3.5 Decomposition and Reconstruction 134 Problems 3.6 Summary 41 4 The Discrete Haar Wavelet transform and applications 5 4.1 The One-Dimensional Transform 146 Problems 159 4.2 The Two-Dimensional transform 163 Problems 171 4.3 Edge detection and naive image compression 172 5 Multiresolution Analysis 179 5.1 Multiresolution Analysis 180 oblems 196 5.2 The view from the transform domain 200 Problems 212 5.3 Examples of multiresolution analyses Problems 224 5.4 Summary 225 6 Daubechies Scaling Functions and Wavelets 233 6. 1 Constructing the Daubechies Scaling Functions 234 【实例截图】
【核心代码】
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