Perceptual Geometry of Space and Form : Visual Perception of Scenes and Places

The perceptual space is a medium in which perceptual geometry of natural surfaces, curves and objects is learned. Our paper provides evidence from neurobiology of memory and learning together with statistical learning theory for a theory of perceptual geometry of space and form based on the intelligent system's representation of memories of stimuli in aggregates and inferring statistical correlates and probabilistic structures within them. The concept of perceptual space interpolates between ideas of Helmholtz, Henri Poincare', and Einstein on the conceptual level, to modern psychophysical results such as the multi-scale theory of Koenderink, and modern neurobiology