Histogram equalisation by Gaussian particle diffusion

Histogram equalisation by Gaussian particle diffusion

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Greyscale histogram equalisation is formulated by particle diffusion, which is extendable to any dimension. A histogram is approximated by a Gaussian mixture and its potential energy function is defined by its disparity from the uniform distribution. As a mechanical analogy, the equivalent dynamic system, corresponding to this potential, can be derived as a second-order ordinary differential equation. Adding viscosity terms to the dynamic system, we can acquire the stability which is validated by experimental results.


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