## The Global Structure of Visual Space (Google eBook)Annotation - Most studies of visual perception, such as illusion, perception of solid objects and colors, etc., are concerned with local phenomena in this visual space. In contrast, this book focuses on the global structure inherent in our visual space- Developments in the Structure of Visual Space is summarized in the book. Moreover, the idea is discussed with regard to our visual space under more natural conditions- The book will be of interest to scientists and engineers in various fields who are interested in human vision and to artists who are interested in the scientific understanding of seeing- This book includes many illustrations- All mathematical tools are explained from the beginning, so it is still readable to those who are not familiar with Riemannian geometry- The backgrounds of experimentation are described in detail, so it is also readable to those who are unfamiliar with experiments on visual perception |

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### Contents

Visual Space | 1 |

Luneburg Model | 17 |

Two Extensions of Luneburg Model | 67 |

Visual Space under Natural Conditions | 103 |

Related Experiments and Theoretical Considerations | 149 |

201 | |

211 | |

### Common terms and phrases

1ndow according adjusted angle antipodal points appear assumed binocular called collinear condition configuration Q constant constructed coordinates cosh curvature curve dark data dy defined defmed determined direction discussed DMRPD dotted EMMDS equations Euclidean Euclidean distance Euclidean geometry Euclidean space exocentric experimental eyes fixed fovea frameless frontoparallel plane geodesic given H-curves Hence horizontal DP horopter hyperbolic intersect latent variable layout line element line of sight Luneburg's mapping functions magnitude estimation means metric metric space moon illusion moving obtained P-and D-alleys pattern Pv perceived distance perpendicular physical space plotted position procedure proximal stimulus radial distance radius ratio assessments ratio scale rectangle regard regular triangle represented retina retinal image Riemannian geometry Riemannian space scale series of Q's shown side sinh stars straight line surface Vieth-Muller circle visual space Watanabe