Perceiving Geometry - Geometrical Illusions Explained by Natural Scene Statistics

Hardcover  VIII, 126 p. 53 illus., 10 in colour.,  ISBN 0387254870      £46.00

During the last few centuries, natural philosophers, and more recently vision scientists, have recognized that a fundamental problem in biological vision is that the sources underlying visual stimuli are unknowable in any direct sense, because of the inherent ambiguity of the stimuli that impinge on sensory receptors. The light that reaches the eye from any scene conflates the contributions of reflectance, illumination, transmittance, and subsidiary factors that affect these primary physical parameters. Spatial properties such as the size, distance and orientation of physical objects are also conflated in light stimuli. As a result, the provenance of light reaching the eye at any moment is uncertain. This quandary is referred to as the inverse optics problem. This book considers the evidence that the human visual system solves this problem by incorporating past human experience of what retinal images have typically corresponded to in the real world.

Written for vision scientists, psychologists, neuroscientists, and mind-brain philosophers

Contents

• Introduction.
• The Geometry of Natural Scenes.
• Line Length.- Angles.- Size.- Distance.
• The Müller-Lyer Illusion.
• The Poggendorff Illusion.
• Implications.
• References.
• Glossary.