P.O. Box 10 Bellingham, WA 98227-0010 ISBN-10: 0819434965 ISBN-13: 9780819434968 SPIE Vol. No.: PM72 SPIE Terms of Use: This SPIE eBook is DRM-free for your convenience. You may install this eBook on any device you own, but not post it publicly or transmit it to others. SPIE eBooks are for personal use only. For details, see the SPIE Terms of Use. To order a print version, visit SPIE. Contrast SensitMty of the HUMAN EYE and lts Effects on Image Quality Contrast SensitMty of the HUMAN EYE and lts Effects on lmage Quality Peter G. ). Barten i1 =~ SPIE ÜPTICAL ENGINEERING PRESS A Publication of SPIE-The lntemational Society for Optical Engineering Bellingham, Washington USA Library of Congress Cataloging-in-Publication Data Barten, Peter G. J. Contrast sensitivity of the human eye and its effects on image quality I Peter G. J. Barten. p. cm. Originally published: Knegsel: HV Press, 1999. Thesis (doctoral)-Technische Universiteit Eindhoven, 1999. Includes bibliographical references and index. ISBN 0-8194-3496-5 (hardcover) 1. Contrast sensitivity (Vision). 2. Contrast sensitivity (Vision) - Mathematical Models. I. Title. QP48l.B245 1999 612.8'4-dc21 99-40877 CIP Published by SPIE-The Intemational Society for Optical Engineering P.O. Box 10 Bellingham, Washington 98227-0010 Phone: 360/676-3290 Fax: 360/647-1445 Email: [email protected] WWW: http://www.spie.org/ Copyright © 1999 The Society ofPhoto-Optical Instrumentation Engineers Ali rights reserved. No part of this publication may be reproduced or distributed in any form or by any means without written permission of the publisher. Printed in the United States of America. to my wife Tineke, and my children Koen, Yvonne and Marianne Contents Preface xüi List of symbols XV I Introduction 1 References ........................... _ . . . . . . . . . . . . . . . . . . . . 5 2 Modulation threshold and noise 7 2.1 Introduction .................... _ . . . . . . . . . . . . . . . . . . . . 7 2.2 Psychometric function ............ _ . . . . . . . . . . . . . . . . . . . . 8 2.3 Basic properties of image noise ...... _ . . . . . . . . . . . . . . . . . . . . 16 2.4 Effect of noise on modulation thresho1d . . . . . . . . . . . . . . . . . . . . 19 2.5 Summary and conclusions ......... _ . . . . . . . . . . . . . . . . . . . . 22 References ........................... _ . . . . . . . . . . . . . . . . . . . . 23 3 Model for the spatial contrast sensitivity of the eye 27 3.1 lntroduction .................... _.................... 27 3.2 Outline of the model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 3.3 Optical MTF . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 3.4 Photon noise . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 3.5 Neural noise . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 3.6 Lateral inhibition ................ _ . . . . . . . . . . . . . . . . . . . . 34 3. 7 Monocular vision versus binocular vision . . . . . . . . . . . . . . . . . . . 38 vtn Contents 3.8 Complete model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 3. 9 Comparison with measurements . . . . . . . . . . . . . . . . . . . . . . . . . . 40 3.9.1 Measurements by DePalma and Lowry . . . . . . . . . . . . . . 41 3.9.2 Measurements by Patel . . . . . . . . . . . . . . . . . . . . . . . . . . 42 3.9.3 Measurements by Robson . . . . . . . . . . . . . . . . . . . . . . . . 43 3.9.4 Measurements by van Nes and Bouman . . . . . . . . . . . . . 43 3.9.5 Measurements by Campbell and Robson . . . . . . . . . . . . . 46 3.9.6 Measurements by Watanabe et al. . . . . . . . . . . . . . . . . . . 47 3.9.7 Measurements by Sachs et al. . . . . . . . . . . . . . . . . . . . . . 48 3.9.8 Measurements by van Meeteren and Vos. . . . . . . . . . . . . 50 3.9.9 Measurements by Howell and Hess ................. 51 3.9.10 Measurements by Virsu and Rovamo................ 52 3.9.11 Measurements by Carlson . . . . . . . . . . . . . . . . . . . . . . . . 53 3.9.12 MeasurementsbyRovamoetal.(1992) ............. 55 3.9.13 MeasurementsbyRovamoetal. (1993a) ............ 56 3.9.14 MeasurementsbyRovamoetal. (1993b) ............ 57 3.9.15 Survey of the measurements. . . . . . . . . . . . . . . . . . . . . . . 59 3.1 O Summary and conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 Appendix A. Photon conversion factor . . . . . . . . . . . . . . . . . . . . . . . . . 60 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 4 Extension of the contrast sensitivity model to extra-foveal vision 67 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 4.2 Density distribution of retinal cells . . . . . . . . . . . . . . . . . . . . . . . 68 4.2.1 Geometrical relations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 4.2.2 Cone density distribution . . . . . . . . . . . . . . . . . . . . . . . . 69 4.2.3 Rod density distribution . . . . . . . . . . . . . . . . . . . . . . . . . 71 4.2.4 Ganglion cell density distribution . . . . . . . . . . . . . . . . . . 72 4.3 Effect of eccentricity on the different constants used in the model 7 5