Generalized distribution

Masaru Tanaka

doi:10.1117/12.404827

23 October 2000 Generalized distribution

Masaru Tanaka

Proceedings Volume 4117, Vision Geometry IX; (2000) https://doi.org/10.1117/12.404827
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

The normal distribution or Gaussian distribution is one of the greatest tools in the computer vision and the other fields. For instance, it is used as the preprocessing tool for the subsequent operations in the computer vision, especially, in order to reduce the noises. In another case, it is used as the functional bases to approximate the given function which is defined as the set of the sampled points. This is called the radial bases function method (RBF). The RBF method is also used in the computational neuroscience, to explain the human mental rotation. From the information theoretic view, it gives the maximum value of the Boltzmann-Shannon entropy. In this paper, we give yet another such distribution, which is called q-normal distribution. We also give many useful formulae to use q-normal distribution in the various fields.

Citation Download Citation

Masaru Tanaka "Generalized distribution", Proc. SPIE 4117, Vision Geometry IX, (23 October 2000); https://doi.org/10.1117/12.404827

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