Logarithmic vs Nth root transformation of Image This is an image for the explanation of Logarithmic Transformation of an Image. I want to ask considering a input pixel value rk, Value of nth root of rk should be greater than corresponding value of log(rk). But this image is not accordance with that?


Can someone explain ?
Mathematicaly, inverse logarithm (or exponential) should indeed grow faster than powers, and logarithm is slower than roots... at infinity. Here, their range is limited to finite interval, so with proper scaling, you may observe such behaviors. I will come back later with numerical examples.