Refereed full papers (journals, book chapters, international conferences)

1966

@article{Hof1966,
	vgclass =	{refpap},
	author =	{W. C. Hoffman},
	title =	{The {L}ie algebra of visual perception},
	journal =	{Journal of Mathematical Psychology},
	volume =	{3},
	pages =	{65--98},
	year =	{1966},
	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 Lie's three fundamental theorems are to be satisfied,
	three additional perceptual invariances must also be present: time,
	efferent binocularity, and what apparently constitutes sort of
	circulating memory in space-time. This Lie algebra of visual perception
	admits ready explanations for the following visual phenomena: the
	development 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) after-images, the existence of
	which has been verified experimentally.},
}