Basic and Fine Structure of Pairwise Interactions in Gibbs Texture Models

  • Georgy Gimel’farb
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1876)


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.


image texture Gibbs random field interaction structure 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Georgy Gimel’farb
    • 1
  1. 1.Centre for Image Technology and Robotics Department of Computer ScienceTamaki Campus University of AucklandAuckland 1New Zealand

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