VISION
David Marr
FOREWORD BY
Shimon Ullman
AFTERWORD BY
Tomaso Poggio
VISION
VISION
A Computational Investigation
into the Human Representation
and Processing of Visual Information
David Marr
The MIT Press
Cambridge, Massachusetts
London, England
© 2010 Lucia M. Vaina
All rights reserved. No part of this book may be reproduced in any form by any
electronic or mechanical means (including photocopying, recording, or informa-
tion storage and retrieval) without permission in writing from the publisher.
This book was originally published in 1982 by W. H. Freeman and Company.
MIT Press books may be purchased at special quantity discounts for business
or sales promotional use. For information, please email special_sales@mitpress
.mit.edu or write to Special Sales Department, The MIT Press, 55 Hayward Street,
Cambridge, MA 02142.
This book was set in Garamond by Newgen. Printed and bound in the United
States of America.
Library of Congress Cataloging-in-Publication Data
p. cm.
Marr, David, 1945–1980
Vision : a computational investigation into the human representation and
processing of visual information / David Marr.
Originally published: San Francisco : W. H. Freeman, c1982.
Inludes bibliographical references and index.
ISBN 978-0-262-51462-0 (pbk. : alk. paper) 1. Vision—Data processing.
2. Vision—Mathematical models. 3. Human information processing. I. Title.
QP475.M27 2010
612.8′4—dc22
2009048460
10 9 8 7 6 5 4 3 2 1
To my parents and to Lucia
Contents
Detailed Contents xi
Foreword by Shimon Ullman xvii
Preface xxiii
PART I
INTRODUCTION AND
PHILOSOPHICAL PRELIMINARIES
General Introduction 3
Chapter 1
The Philosophy and the Approach 8
Background 8
Understanding Complex Information-Processing Systems 19
A Representational Framework for Vision 31
PART II
VISION
Chapter 2
Representing the Image 41
Physical Background of Early Vision 41
Zero-Crossings and the Raw Primal Sketch 54
Spatial Arrangement of an Image 79
vii