Modeling magnitudes of Gabor coefficients: the ß-Rayleigh distribution

  • Authors:
  • Daniel González-Jiménez;Enrique Argones-Rúa;Fernando Pérez-González;José Luis Alba-Castro

  • Affiliations:
  • Galician Research and Development Center in Advanced Telecommunications;TSC Department, University of Vigo;Galician Research and Development Center in Advanced Telecommunications and TSC Department, University of Vigo;TSC Department, University of Vigo

  • Venue:
  • ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
  • Year:
  • 2009

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Abstract

Generalized Gaussian (GG) densities have been recently proposed to model both real and imaginary parts of Gabor coefficients. However, when matching faces, most systems make use of magnitude information only, due to its smooth behavior with displacements. The first goal of this paper is to propose a novel statistical model for the magnitude of Gabor coefficients, supposed that both real and imaginary parts are GG distributed. The proposed model, namely the β-Rayleigh distribution, Rβ(σ), is a generalization of the standard Rayleigh, R(σ), density. The Kullback Leibler (KL) divergence is used to measure the fitting accuracy of the model, showing the benefits of Rβ(σ) over standard R(σ). The second goal of the paper tackles the selection of distance measures for Gabor features comparison, a topic that has received little attention in the literature. Inspired by the proposed statistical model, different lβ norms are tested on the XM2VTS database, showing interesting results that confirm that classical distances used in Gabor-based recognition systems do not provide the best performance.