Non-linear Filter Response Distributions of Natural Colour Images

  • Alexander Balinsky
  • Nassir Mohammad
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5646)


We observe a non-Gaussian heavy tailed distribution for the non-linear filter
$$ \label{Filter} \gamma(U)(\mathbf r) = U(\bold r) - \sum_{ \mathbf s \in N(\mathbf r)} w{(Y)_{\mathbf r \mathbf s}} U(\mathbf s), $$
applied to the chromacity channel ’U’ (and equivalently to ’V’) on individual natural colour images in the colour space YUV. We fit a Generalised Gaussian Distribution (GGD) to the histogram of the filter response, and observe the shape parameter (α) to lie within the range 0 < α< 2, but rarely α> 1.


Non-Gaussian Statistics Image Colorization Non-Linear Filter Response Natural Colour Statistics 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Alexander Balinsky
    • 1
  • Nassir Mohammad
    • 1
    • 2
  1. 1.School of MathematicsCardiff UniversityCardiffUK
  2. 2.Hewlett Packard LaboratoriesBristolUK

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