05276nam 2200661Ia 450 991078212080332120230617040909.01-281-93466-69786611934668981-279-477-8(CKB)1000000000537786(EBL)1679303(OCoLC)879023371(SSID)ssj0000163598(PQKBManifestationID)11163321(PQKBTitleCode)TC0000163598(PQKBWorkID)10128761(PQKB)11700333(MiAaPQ)EBC1679303(WSP)00005537(Au-PeEL)EBL1679303(CaPaEBR)ebr10255569(CaONFJC)MIL193466(EXLCZ)99100000000053778620040929d2004 uy 0engur|n|---|||||txtccrThe global structure of visual space[electronic resource] /Tarow IndowRiver Edge, NJ World Scientificc20041 online resource (228 p.)Advanced series on mathematical psychology ;v. 1Description based upon print version of record.981-238-842-7 Includes bibliographical references (p. 201-210) and indexes.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 Behavior2. 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 o2.4 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 Results3.2 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 Sky4.1.2 The Moon Illusion The space we see around us is the end product of a long series of processes: physical, physiological, and cognitive. It is a highly structured perceptual entity. In contrast to the fact that most studies of visual perception are concerned with local phenomena in this visual space, the main purpose of this book is to discuss the global structure of visual space. The physical space which surrounds us is of Euclidean structure, but its perceived image is not necessarily structured in that way. Problems such as why the sky appears as a vault and why the horizon is located at eye level are discussAdvanced series on mathematical psychology ;v. 1.Visual perceptionMathematical modelsSpace perceptionMathematical modelsVisual perceptionMathematical models.Space perceptionMathematical models.152.14Indow Tarow1923-1531947MiAaPQMiAaPQMiAaPQBOOK9910782120803321The global structure of visual space3777926UNINA