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When most people think of space, they think of physical space. However, visual space concerns space as consciously experienced, and it is studied through subjective measures, such as asking people to use numbers to estimate perceived distances, areas, angles, or volumes. This book explores the mismatch between perception and physical reality, and describes the many factors that influence the perception of space including the meaning assigned to geometric concepts like distance, the judgment methods used to report the experience, the presence or absence of cues to depth, and the orientation of a stimulus with respect to point of view. The main theme of the text is that no single geometry describes visual space, but that the geometry of visual space depends upon the stimulus conditions and mental shifts in the subjective meaning of size and distance. In addition, The Geometries of Visual Space: *contains philosophical, mathematical, and psychophysical background material; *looks at synthetic approaches to space perception including work on hyperbolic, spherical, and Euclidean geometries; *presents a meta-analysis of studies that ask observers to directly estimate size, distance, area, angle, and volume; *looks at the size constancy literature in which observers are asked to adjust a comparison stimulus to match a variety of standards at different distances away; *discusses research that takes a multi-dimensional approach toward studying visual space; and *discusses how spatial experience is influenced by memory. While this book is primarily intended for scholars in perception, mathematical psychology, and psychophysics, it will also be accessible to a wider audience since it is written at a readable level. It will make a good graduate-level textbook on space perception.
When most people think of space, they think of physical space. However, visual space concerns space as consciously experienced, and it is studied through subjective measures, such as asking people to use numbers to estimate perceived distances, areas, angles, or volumes. This book explores the mismatch between perception and physical reality, and describes the many factors that influence the perception of space including the meaning assigned to geometric concepts like distance, the judgment methods used to report the experience, the presence or absence of cues to depth, and the orientation of a stimulus with respect to point of view. The main theme of the text is that no single geometry describes visual space, but that the geometry of visual space depends upon the stimulus conditions and mental shifts in the subjective meaning of size and distance. In addition, The Geometries of Visual Space: *contains philosophical, mathematical, and psychophysical background material; *looks at synthetic approaches to space perception including work on hyperbolic, spherical, and Euclidean geometries; *presents a meta-analysis of studies that ask observers to directly estimate size, distance, area, angle, and volume; *looks at the size constancy literature in which observers are asked to adjust a comparison stimulus to match a variety of standards at different distances away; *discusses research that takes a multi-dimensional approach toward studying visual space; and *discusses how spatial experience is influenced by memory. While this book is primarily intended for scholars in perception, mathematical psychology, and psychophysics, it will also be accessible to a wider audience since it is written at a readable level. It will make a good graduate-level textbook on space perception.
This book focuses on the philosophy of perception with particular emphasis on the geometry of phenomenal visual space and mind body issues concerning the relationships between that space and neural activity in the brain. The contents include a detailed attack on naive realism and a defense of the causal theory of perception, along with analyses of both the topology and metric structure of visual space. It is shown how a variable curvature geometry for visual space can account for phenomenal visual depth perception, and an extension of that analysis is given to the other sense systems. The final chapter defends the claim that the conscious mind is a spatial entity, but still questions whether a physicalist reduction can be made of it to activity in the brain.
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 discussed in the book.
This highly stimulating study observes many historical interrelationships between art and mathematics. It explores ancient and Renaissance painting and sculpture, the development of perspective, and advances in projective geometry.