How can I map Photoshop's level adjustment to a Core Image filter?

Question

I\'m mapping several photoshop elements to CIFilter, the only one I\'m having trouble with is this Levels Adjustment:

Answer 1

By adapting the formula from this page: http://http.developer.nvidia.com/GPUGems/gpugems_ch22.html, I believe you can do this using a combination of CIColorMatrix, CIGammaAdjust and another CIColorMatrix.

Let's call the input levels inBlack, inGamma and inWhite respectively, and the output levels outBlack and outWhite. Note that Photoshop color are between 0 and 255 while CI colors are between 0 and 1 so you need to divide the Photoshop values (except inGamma!) by 255 before putting them into the following formulas.

The input mapping is pixel = (inPixel-inBlack)/(inWhite-inBlack), which means your first matrix will be

red = [1/(inWhite-inBlack) 0 0 0]
green = [0 1/(inWhite-inBlack) 0 0]
blue = [0 0 1/(inWhite-inBlack) 0]
alpha = [0 0 0 1]
bias = [-inBlack/(inWhite-inBlack), -inBlack/(inWhite-inBlack),-inBlack/(inWhite-inBlack), 0]

Then you apply gamma correction using CIGammaAdjust and the inGamma number (I had to use the inverse 1/inGamma when doing my calculations, try that too!).

Finally the output mapping is pixel = gammaCorrectedPixel * (outWhite - outBlack) + outBlack, giving you the final matrix

red = [(outWhite - outBlack) 0 0 0]
green = [0 (outWhite - outBlack) 0 0]
blue = [0 0 (outWhite - outBlack) 0]
alpha = [0 0 0 1]
bias = [outBlack outBlack outBlack 0]

I haven't actually tried this using CoreImage, but the calculations work out nicely!