The Moments of the Mixel Distribution and Its Application to Statistical Image Classification

  • Asanobu Kitamoto
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1876)


The mixel is a heterogeneous pixel that contains multiple constituents within a single pixel, and the statistical properties of a population of mixels can be characterized by the mixel distribution. Practically this model has a drawback that it cannot be represented in closed form, and prohibitive numerical computation is required for mixture density estimation problem. Our discovery however shows that the “moments” of the mixel distribution can be derived in closed form, and this solution brings about significant reduction of computation cost for mixture density estimation after slightly modifying a typical algorithm. We then show the experimental result on satellite imagery, and find out that the modified algorithm runs more than 20 times faster than our previous method, but suffers little deterioration in classification performance.


Probability Distribution Function Satellite Imagery Mixture Density Area Proportion Remote Sensing Image 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Asanobu Kitamoto
    • 1
  1. 1.National Institute of Informatics (NII)TokyoJapan

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