Anisotropic Textures with Arbitrary Orientation

  • Authors:
  • Murilo P. Almeida

  • Affiliations:
  • Departamento de Física, Universidade Federal do Ceará, 60455-760, Fortaleza, Ce, Brazil. E-mail: murilo@fisica.ufc.br

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 1997

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Abstract

We present a Markov random field (MRF) model for digital imagescapable of representing anisotropic textures with arbitraryorientations. The discrete Hamiltonian is obtained through finitedifference discretization of a continuous elliptic operator on R², together with a polynomial perturbation.We present the solution of a non-linear system of algebraicequations that estimates the orientation angle and theelliptic operator parameters in terms of the estimated discreteHamiltonian parameters.We perform experiments of simulation and retrieval of parametersusing, respectively, the Gibbssampler algorithm and the variational estimators for MRF. Weuse also the estimation algorithm to identify relative rotationof digital images of the same realisticpicture scanned at various different orientations.