Find a point operation (in tabular form) that will equalize a 3-bit image with the following histogram.

Find a point operation (in tabular form) that will equalize a 3-bit image with the following histogram?

heres the TABLE ; I DONT KNOW TO MANUALLY PLOLT THIS USING MATLAB.

I KNOW IT HAS TO DO WITH HISTOGRAM EQUALIZATION. I AM REALLY CONFUSED HOW CAN I DO THIS?

rk = value of pixel

nk = number of pixel with gray values

output- P in(rF)=nk/n

n= total number of pixel with gray value rk.

P in =is probability density

rk nk

0 1028

1 3544

2 5023

3 3201

4 1867

5 734

6 604

7 383

Answer 1

[Walter Roberson]

One possible interpretation is that each level should be associated with a brightness, and that as closely as possible the total lumanence contributed by all the pixels of each level should be the same.

So if the total lumanance by level is decided to be T then

1024 * first_brightness  = T
3544 * second_brightness = T
5023 * third_brightness  = T

and so on. So the output brightness for each level should be T/nk for some constant T.

What should T be? Well probably T/min(nk) should be 255...