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Geometric Representations of Perceptual Phenomena: Papers in Honor of Tarow indow on His 70th Birthday PDF

371 Pages·1995·75.028 MB·English
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GEOMETRIC REPRESENTATIONS OF PERCEPTUAL PHENOMENA Papers in Honor of Tarow Indow on His 70th Birthday Copyrighted Material Copyrighted Material GEOMETRIC REPRESENTATIONS OF PERCEPTUAL PHENOMENA Papers in Honor of Tarow Indow on His 70th Birthday Edited by R. Duncan Luce Michael D'Zmura Donald Hoffman Geoffrey J. Iverson A. Kimball Romney University of California, Irvine LAWRENCE ERLBAUM ASSOCIATES, PUBLISHERS 1995 Mahwah, New Jersey Hove, UK Copyrighted Material Copyright © 1995 by Lawrence Erlbaum Associates, Inc. All rights reserved. No part of this book may be reproduced in any form, by photostat, microform, retrieval system, or any other means, without the prior written permission of the publisher. Lawrence Erlbaum Associates, Inc., Publishers 10 Industrial A venue Mahwah, New Jersey 07430 Library of Congress Cataloging-in-Publication Data Geometric representations of perceptual phenomena: papers in honor of Tarow Indow on his 70th birthday I edited by R. Duncan Luce . ret al.]. p. em. Papers originally presented at a conference held at the University of California, Irvine, July 22-28, 1993. Includes bibliographical references and indexes. ISBN 0-8058- 1686-0 (alk paper) I. Psychophysics-Congresses. 2. Psychometrics-Congresses. 3. Space perception-Congresses. 4. Color vision- Congresses. I. Indow, Tarow, 1923- II. Luce, R. Duncan (Robert Duncan) III. University of California, Irvine. BF237.G39 1995 152.14- dc20 94-24199 CIP Books published by Lawrence Erlbaum Associates are printed on acid-free paper. and their bindings are chosen for strength and durability. Printed in the United States of America 10 9 8 7 6 5 4 3 2 Copyrighted Material Contents Preface ix R. Duncan Luce List of Contributors xi 1. Psychophysical Scaling: Scientific and Practical Applications Tarow Indow Appendix: Tarow Indow: A Brief Biography and a Bibliography of His Papers in English 28 PART I. SPACE Introduction 35 Donald D. Hoffman 2. Some Foundational Problems in the Theory of Visual Space 37 Patrick Suppes 3. Is There a Visual Space? 47 Donald I. A. MacLeod and 1. Douglas Willen 4. Representation of Rigid Transformations by Cortical Activity Patterns 61 V. Lakshminarayanan and T S. Santhanw/1 v Copyrighted Material vi CONTENTS 5. The Invariances of Weber's and Other Laws as Determinants of Psychophysical Structures 69 Jan Drosler 6. Genericity in Spatial Vision 95 Marc K. Albert and Donald D. Hoffman 7. Empirical Meaningfulness, Measurement-Dependent Constants, and Dimensional Analysis 113 Ehtibar N. Dzhafarov PART II. COLOR Introduction 135 Michael D'Zmura and Geoffrey Iverson 8. A Method for Testing Euclidean Representations of Proximity Judgments in Linear Psychological Spaces 137 Laurence T Maloney, Sophie M. Wuerger, and John Krauskopf 9. Spherical Model of Discrimination of Self-Luminous and Surface Colors 153 Chinghis Izmailov 10. Color Constancy: Spectral Recovery Using Trichromatic Bilinear Models 169 Geoffrey Iverson and Michael D' Zmura 11. Probabilistic Color Constancy 187 Michael D'Zmura, Geoffrey Iverson, and Benjamin Singer PART III. SCALING Introduction 203 A. Kimball Romney 12. Intermodal Similarity and Cross-Modality Matching: Coding Perceptual Dimensions 207 Lawrence E. Marks Copyrighted Material CONTENTS vii 13. Judgment Windows in Psychophysical Scaling 235 John C. Baird 14. The Psychophysical Functions for Time Perception: Interpreting Their Parameters 253 Hannes Eisler 15. Scaling Semantic Domains 267 A. Kimball Romney, William H. Batchelder, and Tim Brazill 16. A General Approach to Clustering and Multidimensional Scaling of Two-Way, Three-way, or Higher-Way Data 295 1. Douglas Carroll and Ani! Chaturvedi 17. Network Models for Scaling Proximity Data 319 Karl Christoph Klauer and 1. Douglas Carroll AUTHOR INDEX 343 SUBJECT INDEX 351 Copyrighted Material Copyrighted Material Preface This volume arose from a conference held July 22-28, 1993 at the University of California, Irvine (UCI) on the topic that provides its title: geometric representa tions of perceptual phenomena. The conference was run jointly by the Depart ment of Cognitive Sciences and the Institute for Mathematical Behavioral Sci ences, and it was supported by funds provided the Institute by UCI, by a National Science Foundation Research and Training Grant, and by funds from UCI's Committee on Research and Graduate Studies obtained by the chair of the De partment of Cognitive Sciences, Professor Mary-Louise Kean, for this purpose. The conference was held, and the volume prepared, in honor of Professor Tarow Indow on his 70th birthday, which occurred during his 16th year at UCI. The social climax of the conference was a dinner held to pay tribute to Professor Indow and to his lovely wife, Minako. Various people who have known them over the years provided warm reminiscences and toasts. Everyone agreed that the high point of the evening was a delightful slide show presented by Professor John I. Yellott, Jr. (assisted by Mrs. Indow in assembling the slides) that covered many significant events of Indow's life from childhood to the present. Some of the faculty appeared in slides of earlier eras and, to their dismay, were not always recognized by their colleagues until identified by Professor Yellott. The volume, following the conference, is organized into three major topics concerning the use of geometry in perception: space, color, and scaling. The first topic refers to attempts to represent the subjective space within which we locate ourselves and perceive objects to reside. The second topic concerns attempts to represent the structure of color percepts as revealed by various experimental procedures. The third has as its goal the organization of various bodies of data (in this case perceptual) through scaling techniques, primarily multidimensional ix Copyrighted Material

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