Skewed α-stable distributions for modelling textures

  • Authors:
  • Ercan E. Kuruoglu;Josiane Zerubia

  • Affiliations:
  • Istituto di Scienze e Technologie della Informazione, Consiglio Nazionale delle Ricerche, via G. Moruzzi 1, Pisa 56124, Italy;Ariana, Project Commun. CNRS/INRIA/UNSA, INRIA--Sophia Antipolis, 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis, France

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 2003

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Abstract

In this letter, we introduce a novel family of texture models which provide alternatives to texture models which are based on Gaussian distributions. In particular, we introduce linear textures generated with a member of the α-stable distribution family, which is a generalisation of the Gaussian distribution. The new family of texture models is capable of representing both impulsive and unsymmetric (skewed) image data which cannot be accommodated by the Gaussian model. We present new techniques for texture model estimation and we demonstrate the success of the techniques on synthetic data.