A Geometric Functional for Derivatives Approximation

  • Authors:
  • Nir A. Sochen;Robert M. Haralick;Yehoshua Y. Zeevi

  • Affiliations:
  • -;-;-

  • Venue:
  • SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
  • Year:
  • 1999

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Abstract

We develop on estimation method, for the derivative field of an image based on Bayesian approach which is formulated in a geometric way. The Maximum probability configuration of the derivative field is found by a gradient descent method which leads to a non-linear diffusion type equation with added constraints. The derivatives are assumed to be piecewise smoothe and the Beltrami framework is used in the development of an adaptive smoothing process.