Decode a gamma encoded image

Question

I am working on a project, where the user can specify a gamma function on a image, for example:

y=(pow(10,(1023*x-681)/444)-.0408)/(1-.0408))

The image is then encoded with this gamma curve, and then my code must be able to return this image back to its original (linear) version:

(y=x)

My question is how I can decode a gamma corrected image back to a linear version if i know the encoding function?

Anton Malyshev · Accepted Answer · 2015-07-31T21:46:11.817

1

Use inverse function

x = (444 * (log ((1-.0408) * y + .0408) / log 10) + 681) / 1023

edited Jul 31 '15 at 21:46

answered Jul 25 '15 at 19:24

Anton Malyshev

The only problem is that the user can enter any function they like. So i can't specify the inverse function ahead. – Malu05 Jul 25 '15 at 20:25
Then solve the equation numerically or symbolically (matlab, mathematica, octave, ...) – Anton Malyshev Jul 25 '15 at 21:57

1 Answers1