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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 7, Iss. 4 — Aug. 14, 2000
  • pp: 155–165

A geometric framework for nonlinear visual coding

Erhardt Barth and Andrew B. Watson  »View Author Affiliations

Optics Express, Vol. 7, Issue 4, pp. 155-165 (2000)

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It is argued that important aspects of early and middle level visual coding may be understood as resulting from basic geometric processing of the visual input. The input is treated as a hypersurface defined by image intensity as a function of two spatial coordinates and time. Analytical results show how the Riemann curvature tensor R of this hypersurface represents speed and direction of motion. Moreover, the results can predict the selectivity of MT neurons for multiple motions and for motion in a direction along the optimal spatial orientation. Finally, a model based on integrated R components predicts global-motion percepts related to the barber-pole illusion.

© Optical Society of America

OCIS Codes
(150.4620) Machine vision : Optical flow
(330.4060) Vision, color, and visual optics : Vision modeling
(330.4150) Vision, color, and visual optics : Motion detection

ToC Category:
Research Papers

Original Manuscript: June 28, 2000
Published: August 14, 2000

Erhardt Barth and Andrew Watson, "A geometric framework for nonlinear visual coding," Opt. Express 7, 155-165 (2000)

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