## The Global Structure of Visual SpaceThe 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 discussed in the book. |

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### Contents

1 Visual Space | 1 |

2 Luneburg Model | 17 |

3 Two Extensions of Luneburg Model | 67 |

4 Visual Space under Natural Conditions | 103 |

5 Related Experiments and Theoretical Considerations | 149 |

201 | |

211 | |

Credits | 216 |

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according adjusted angle antipodal points appear assumed binocular collinear condition configuration constant constructed coordinates corresponding cosh curvature curve dark defined determined direction discussed DMRPD dotted EMMDS equations Euclidean Euclidean distance Euclidean geometry Euclidean space exocentric experimental eyes fixed fovea frameless frontoparallel plane geodesic geometrical given H-curves Hence Hh(PI horizontal DP horopter HP(PI hyperbolic illuminated Indow and Watanabe interpoint distances intersect latent variable layout line element Luneburg Luneburg’s mapping functions magnitude estimation means metric metric space moon illusion moving obtained P-and D-alleys pattern perceived distance perpendicular physical space plotted position procedure proximal stimulus Q}p and Q}D radial distance radius ratio assessments ratio scale regard represented retina retinal image Riemannian geometry Riemannian space scale shown side straight line structure surface Vieth-Müller circle visual space