Uncertainty relation for resolution in space, spatial frequency, and orientation optimized by two-dimensional visual cortical filters.

@article{Daugman1985UncertaintyRF,
  title={Uncertainty relation for resolution in space, spatial frequency, and orientation optimized by two-dimensional visual cortical filters.},
  author={J. G. Daugman},
  journal={Journal of the Optical Society of America. A, Optics and image science},
  year={1985},
  volume={2 7},
  pages={1160-9}
}
  • J. G. Daugman
  • Published 1985 in
    Journal of the Optical Society of America. A…
Two-dimensional spatial linear filters are constrained by general uncertainty relations that limit their attainable information resolution for orientation, spatial frequency, and two-dimensional (2D) spatial position. The theoretical lower limit for the joint entropy, or uncertainty, of these variables is achieved by an optimal 2D filter family whose spatial weighting functions are generated by exponentiated bivariate second-order polynomials with complex coefficients, the elliptic… CONTINUE READING
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