If I have the histogram of an input image as Gaussian probability density function of the form:
where: $\mu$ and $\sigma$ are the mean and standard deviation of the Gaussian PDF respectively.
The approach is to let $\mu$ and $\sigma$ be the measures of average grey level and contrast of a given image. What is the transformation function that can be used for histogram equalization?
Now, I found that I have to take small value for sigma and make some integration. So any help to do that please?