Geometric Representations of Perceptual Phenomena

Based on a conference held in honor of Professor Tarow Indow, this volume is organized into three major topics concerning the use of geometry in perception: * space -- referring to attempts to represent the subjective space within which we locate ourselves and perceive objects to reside; * color -- dealing with attempts to represent the structure of color percepts as revealed by various experimental procedures; and * scaling -- focusing on the organization of various bodies of data -- in this case perceptual -- through scaling techniques, primarily multidimensional ones. These topics provide a natural organization of the work in the field, as well as one that corresponds to the major aspects of Indow's contributions. This book's goal is to provide the reader with an overview of the issues in each of the areas, and to present current results from the laboratories of leading researchers in these areas.

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

Contents: R.D. Luce, Preface. T. Indow, Psychophysical Scaling: Scientific and Practical Applications. Appendix: T. Indow, A Brief Biography and a Bibliography of His Papers in English. Part I: Space.D. Hoffman, Introduction. P. Suppes, Some Foundational Problems in the Theory of Visual Space. D.I.A. MacLeod, J.D. Willen, Is There a Visual Space? V. Lakshminarayanan, T.S. Santhanam, Representation of Rigid Transformations by Cortical Activity Patterns. J. Drösler, The Invariances of Weber's and Other Laws as Determinants of Psychophysical Structures. M.K. Albert, D. Hoffman, Genericity in Spatial Vision. E.N. Dzhafarov, Empirical Meaningfulness, Measurement-Dependent Constants, and Dimensional Analysis. Part II: Color.M. D'Zmura, G. Iverson, Introduction. L.T. Maloney, S.M. Wuerger, J. Krauskopf, A Method for Testing Euclidean Representations of Proximity Judgments in Linear Psychological Spaces. C. Izmailov, Spherical Model of Discrimination of Self-Luminous and Surface Colors. G. Iverson, M. D'Zmura, Color Constancy: Spectral Recovery Using Trichromatic Bilinear Models. M. D'Zmura, G. Iverson, B. Singer, Probabilistic Color Constancy. Part III: Scaling.A.K. Romney, Introduction. L.E. Marks, Intermodel Similarity and Cross-Modality Matching: Coding Perceptual Dimensions. J.C. Baird, Judgment Windows in Psychophysical Scaling. H. Eisler, The Psychophyscial Function for Time Perception: Interpreting Their Parameters. A.K. Romney, W.H. Batchelder, T. Brazill, Scaling Semantic Domains. J.D. Carroll, A. Chaturvedi, A General Approach to Clustering and Multidimensional Scaling of Two-Way, Three-Way, or Higher-Way Data. K.C. Klauer, J.D. Carroll, Network Models for Scaling Proximity Data.