Record:   Prev Next
Author Indow, Tarow
Title The Global Structure of Visual Space
Imprint Singapore : World Scientific Publishing Co Pte Ltd, 2004
©2004
book jacket
Descript 1 online resource (228 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Series Series On Innovative Intelligence ; v.1
Series On Innovative Intelligence
Note Intro -- CONTENTS -- Foreword -- Abbreviations and Symbols -- 1. Visual Space -- 1.1 Global Structure of Visual Space -- 1.1.1 Features of VS -- 1.2 Binocular Vision -- 1.2.1 Cyclopean Vision in the Horizontal Plane of Eye-level -- 1.2.2 3-D Cyclopean Vision -- 1.2.3 Spatial Behavior -- 2. Luneburg Model -- 2.1 P- and D-alleys H-curves in the Horizontal Plane -- 2.1.1 Experiments with Stationary Points -- 2.1.2 Discrepancy between {Qi}P and {Qi}D -- 2.2 VS as a Riemannian Space of Constant Curvature -- 2.2.1 Riemannian Space of Constant Curvature -- 2.2.2 Eudlidean Map (EM) -- 2.2.3 Equations of P-and D-alleys H-curves in EM2 -- 2.3 Theoretical Curves in X2 -- 2.3.1 Luneburg's Mapping Functions -- 2.3.2 Equations of P-and D-alleys and H-curves in X2 -- 2.3.3 Comments on Results of Alley Experiments -- 2.3.4 Comments on Values of-K and o -- 2.4 Derivations and Explanations -- 2.4.1 Supplementary Explanations to Sec.2.2.1 -- 2.4.2 Derivations of Equations in Secs.2.2.2 and 2.2.3 -- 3. Two Extensions of Luneburg Model -- 3.1 Alleys on a Frontoparallel Plane -- 3.1.1 Theoretical Equations -- 3.1.2 Experimental Results -- 3.2 Direct Mapping according to Riemannian Metric -- 3.2.1 Multidimensional Mapping according to Riemannian Metric -- 3.2.2 Experimental Results -- 3.2.3 Concluding Remarks to Sec.3.2 -- 4. Visual Space under Natural Conditions -- 4.1 The Perceived Sky and Ground -- 4.1.1 Bisection of the Sky -- 4.1.2 The Moon Illusion -- 4.1.3 Multidimensional Construction of the Night Sky -- 4.1.4 Horizon -- 4.2 Scaling of Radial Distance S0 -- 4.2.1 Scaling based on Difference Judgment -- 4.2.2 Scaling based on Ratio Judgment -- 4.2.3 Discussion on the Form of d(x) -- 4.3 Perceived Spatial Layouts under Full Cue Conditions -- 4.3.1 Three Experiments -- 4.3.2 General Discussion -- 4.3.3 Regular Triangles with S at the Barycenter
5. Related Experiments and Theoretical Considerations -- 5.1 Spatial Layouts in Frameless Visual Space -- 5.1.1 An Experiment with Circles -- 5.1.2 Experiments using Triangles -- 5.1.3 General Comments and Derivations -- 5.2 Mapping Functions -- 5.2.1 Experimental Data -- 5.2.2 Theoretical Considerations -- 5.2.3 Roles of Mapping Functions -- 5.3 Experimental Tests of Properties of VS as an R -- 5.3.1 Two Experiments of Foley -- 5.3.2 Bottom-up Experimental Approaches -- 5.4 Discussion on the Postulate that VS is an R -- 5.4.1 Helmholtz-Lie Problem -- 5.4.2 Congruence and Similarity in VS -- 5.4.3 Linear Perspective -- 5.4.4 Concluding Remarks -- References -- Author and Subject Indexes -- Credits
Key Features:Visual space, the space we see around us, is a highly structured perceptual entity. This book focuses on its structureA large number of experimental studies are summarized with detailed description on experimentation, so the book is readable to those who are unfamiliar with experiments on visual perceptionAll mathematical tools are explained from the beginning, so it is readable to those who are not familiar with Riemannian geometryThis book includes many illustrations
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
Link Print version: Indow, Tarow The Global Structure of Visual Space Singapore : World Scientific Publishing Co Pte Ltd,c2004 9789812388421
Subject Visual perception -- Mathematical models.;Space perception -- Mathematical models
Electronic books
Record:   Prev Next