Basic and Fine Structure of Pairwise Interactions in Gibbs Texture Models

  • Authors:
  • Georgy L. Gimel'farb

  • Affiliations:
  • -

  • Venue:
  • Proceedings of the Joint IAPR International Workshops on Advances in Pattern Recognition
  • Year:
  • 2000

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Abstract

Gibbs models with multiple pairwise pixel interactions permit us to estimate characteristic interaction structures of spatially homogeneous image textures. Interactions with partial energies over a particular threshold form a basic structure that is sufficient to model a specific group of stochastic textures. Another group, referred here to as regular textures, permits us to reduce the basic structure in size, providing only a few primary interactions are responsible for this structure. If the primary interactions can be considered as statistically independent, a sequential learning scheme reduces the basic structure and complements it with a fine structure describing characteristic minor details of a texture. Whereas the regular textures are described more precisely by the basic and fine interaction structures, the sequential search may deteriorate the basic interaction structure of the stochastic textures.