Histogram equalization transformation function

1. What is the transformation function you would use for histogram equalization?
2. How does histogram equalization work?
3. What is PDF and CDF in histogram equalization?
4. Why is histogram equalization a uniform function?

What is the transformation function you would use for histogram equalization?

So in Histogram equalization, transformation function is calculated using cumulative frequency approach and this process is automatic. From the histogram of the image, we determine the cumulative histogram, c , rescaling the values as we go so that they occupy an 8-bit range.

How does histogram equalization work?

Histogram Equalization is a computer image processing technique used to improve contrast in images . It accomplishes this by effectively spreading out the most frequent intensity values, i.e. stretching out the intensity range of the image.

What is PDF and CDF in histogram equalization?

Histogram equalization is achieved by having a transformation function ( ), which can be defined to be the Cumulative Distribution Function (CDF) of a given Probability Density Function (PDF) of a gray-levels in a given image (the histogram of an image can be considered as the approximation of the PDF of that image).

Why is histogram equalization a uniform function?

Histogram equalization employs a monotonic, non-linear mapping which re-assigns the intensity values of pixels in the input image such that the output image contains a uniform distribution of intensities (i.e. a flat histogram).