Expectation-Maximization for a Linear Combination of Gaussians

  • Authors:
  • Georgy Gimel'farb;Aly A. Farag;Ayman El-Baz

  • Affiliations:
  • University of Auckland, New Zealand;University of Louisville, KY;University of Louisville, KY

  • Venue:
  • ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 3 - Volume 03
  • Year:
  • 2004

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Abstract

We propose a modified Expectation-Maximization algorithm that approximates an empirical probability density function of scalar data with a linear combination of Gaussians (LCG). Due to both positive and negative components, the LCG approximates inter-class transitions more accurately than a conventional mixture of only positive Gaussians. Experiments in segmenting multi-modal medical images show the proposed LCG-approximation results in more adequate region borders.