文档介绍：This page intentionally left blank
MATHEMATICS OF DIGITAL IMAGES
Creation, Compression, Restoration, Recognition
Compression, restoration and recognition are three of the ponents of digital
imaging. The mathematics needed to understand and carry out all ponents is
here explained in a textbook that is at once rigorous and practical with many worked
examples, exercises with solutions, pseudocode, and sample calculations on images. The
introduction lists fast tracks to special topics such as ponent Analysis,
and ways into and through the book, which abounds with illustrations. The first part
describes plane geometry and pattern-generating symmetries, along with some text on
3D rotation and reflection matrices. Subsequent chapters cover vectors, matrices and
probability. These are applied to simulation, Bayesian methods, Shannon’s Information
Theory, compression, filtering and tomography. The book will be suited for course use
or for self-study. It will appeal to all those working in biomedical imaging and diagnosis,
computer graphics, machine vision, remote sensing, image processing, and information
theory and its applications.
Dr S. G. Hoggar is a research fellow and formerly a senior lecturer in mathematics
at the University of Glasgow.
MATHEMATICS OF DIGITAL IMAGES
Creation, Compression, Restoration, Recognition
S. G. HOGGAR
University of Glasgow
CAMBRIDGE UNIVERSITY PRESS
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo
Cambridge University Press
The Edinburgh Building, Cambridge CB2 8RU, UK
Published in the United States of America by Cambridge University Press, New York
Information on this title: 0521780292
© Cambridge University Press 2006
This publication is in copyright. Subject to statutory exception and to the provision of
relevant collective licensing agreements, no reproduction of any part may take place
without the written permission of Cambridge University Press.
First published in print fo