[...]... (ISO) standard library of image processing operators and associated utilities.” Again, for a fourth time, a new edition of Digital Image Processing is offered to the image processing community Why? One reason is because advances in the theoretical aspects of image processing technology continue at a rapid rate For example, in the year 2005, the IEEE Transactions on Image Processing published 2191 pages... maximum intensity of an image, for example, film saturation and cathode ray tube (CRT) phosphor heating Hence it is assumed that 0 < C ( x, y, t, λ ) ≤ A (1. 1-1 ) Digital Image Processing: PIKS Scientific Inside, Fourth Edition, by William K Pratt Copyright © 2007 by John Wiley & Sons, Inc 3 4 CONTINUOUS IMAGE MATHEMATICAL CHARACTERIZATION where A is the maximum image intensity A physical image is necessarily... CONTINUOUS IMAGE MATHEMATICAL CHARACTERIZATION … G 1 ( x, y ) = O 1 { F 1 ( x, y ), F 2 ( x, y ), …, FN ( x, y ) } … G m ( x, y ) = O m { F 1 ( x, y ), F 2 ( x, y ), …, F N ( x, y ) } G M ( x, y ) = O M { F 1 ( x, y ), F2 ( x, y ), …, F N ( x, y ) } (1. 2-1 ) In specific cases, the mapping may be many-to-few, few-to-many, or one-to-one The one-to-one mapping is defined as G ( x, y ) = O { F ( x, y ) } (1. 2-2 )... fourth edition W K P PART 1 CONTINUOUS IMAGE CHARACTERIZATION Although this book is concerned primarily with digital, as opposed to analog, image processing techniques It should be remembered that most digital images represent continuous natural images Exceptions are artificial digital images such as test patterns that are numerically created in the computer and images constructed by tomographic systems... the preface to the first edition of Digital Image Processing with the following statement: “The field of image processing has grown considerably during the past decade with the increased utilization of imagery in myriad applications coupled with improvements in the size, speed and cost effectiveness of digital computers and related signal processing technologies Image processing has found a significant... Skeletonizing, 647 623 CONTENTS 19 Image Detection and Registration 19.1 19.2 19.3 19.4 651 Template Matching, 651 Matched Filtering of Continuous Images, 655 Matched Filtering of Discrete Images, 662 Image Registration, 664 PART 6 20 xi IMAGE PROCESSING SOFTWARE PIKS Image Processing Software 679 681 20.1 PIKS Functional Overview, 681 20.2 PIKS Scientific Overview, 704 21 PIKS Image Processing Programming Exercises... Chapter 19 Part 6 discusses the software implementation of image processing applications This part describes the PIKS API and explains its use as a means of implementing image processing algorithms Image processing programming exercises are included in Part 6 Throughout the first 19 chapters on the theoretical basis of image processing, upto-date references of papers judged to be of significance have... Generation Exercises, 716 Image Manipulation Exercises, 717 Color Space Exercises, 718 Region-of-Interest Exercises, 720 Image Measurement Exercises, 721 Quantization Exercises, 722 Convolution Exercises, 723 Unitary Transform Exercises, 724 Linear Processing Exercises, 725 Image Enhancement Exercises, 726 Image Restoration Models Exercises, 728 Image Restoration Exercises, 729 Geometrical Image Modification... ) (1. 2-3 a) (1. 2-3 b) In Eq 1. 2-3 a, ε is an infinitesimally small limit of integration; Eq 1. 2-3 b is called the sifting property of the Dirac delta function The two-dimensional delta function can be decomposed into the product of two one-dimensional delta functions defined along orthonormal coordinates Thus δ ( x, y ) = δ ( x )δ ( y ) (1. 2-4 ) where the one-dimensional delta function satisfies one-dimensional... that decade, many image processing techniques were of academic interest only; their execution was too slow and too costly Today, thanks to algorithmic and implementation advances, image processing has become a vital cost-effective technology in a host of applications.” In August 2000, in the preface to the third edition, I wrote: “Now, in this beginning of the twenty-first century, image processing has . Scientific inside / William K. Pratt. —, 4th ed. p. cm. “A Wiley-Interscience publication.” Includes bibliographical references and index. ISBN: 97 8-0 -4 7 1-7 677 7-0 1. Image processing Digital techniques books. For more information about Wiley products, visit out web site at / www.wiley.com. Library of Congress Cataloging-in-Publication Data: Pratt, William K. Digital image processing : PIKS. Filtering of Discrete Images, 662 19.4 Image Registration, 664 PART 6 IMAGE PROCESSING SOFTWARE 679 20 PIKS Image Processing Software 681 20.1 PIKS Functional Overview, 681 20.2 PIKS Scientific Overview,