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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.

References

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      • R.C. Gonzalez , R.E. Woods . (2002) Digital Image Processing.
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      • W.F. McDonnel , R.N. Strickland , C.S. Kim . Digital color image enhancement base on the saturation component. Opt. Eng. , 7 , 609 - 616
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      • Venetsanopoulos, A.N., Trahanias, P.E.: `Color image enhancement through 3-D histogram equalization', Proc. 11th Intl. Conf. on Image Speech and Signal Analysis, 1992, 3, p. 543–548.
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    5. 5)
      • Kim, T., Yang, H.S.: `Multidimensionally extendable histogram equalization using second-order ordinary differential equations', The 13th Japan-Korea Joint Workshop on Frontiers of Computer Vision (FCV), 2007, p. 302–306.
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