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

371 Pages·1995·75.028 MB·English

by  R. Duncan Luce, Donald D. Hoffman, Michael D'Zmura, Geoffrey Iverson, A. Kimball Romney

GEOMETRIC REPRESENTATIONS
OF PERCEPTUAL PHENOMENA
Papers in Honor of Tarow Indow
on His 70th Birthday
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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
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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
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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
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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
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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
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