Accession Number:

AD0617139

Title:

THE LIE ALGEBRA OF VISUAL PERCEPTION.

Descriptive Note:

Mathematical note,

Corporate Author:

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH

Personal Author(s):

Report Date:

1965-04-01

Pagination or Media Count:

54.0

Abstract:

The familiar perceptual constancies of image location in the field of view, image orientation, size constancy, shape constancy, binocular distortion, and motion, have their natural mathematical expression in terms of Lie groups of transformations over the visual manifold. If Lies three fundamental theorems are to be satisfied three additional perceptual invariances must also be present time, efferent binocularity, and what apparently constitutes some sort of circulating memory in spacetime. This Lie algebra of visual perception admits ready explanations for the following visual phenomena the developmental sequence of infant vision orthogonal after-images after-effects of seen movement the spiral after-effect and the spiral images sometimes evoked under flicker reading reversals and the visual analogue of the Fitzgerald contraction. The theory also predicts certain new complementary orthogonal afterimages, the existence of which have been verified experimentally. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE