I have a (geographic) raster-image in RGB. I also have an external legend displaying the heights according to a certain color. In below figure, I have sampled this legend, hopefully revealing its RGB-characteristics. I have plotted these values to their actual height values on the X-axis.
Now, is it possible to directly derive height from the pixel's RGB-value? Ultimately, I'm looking for a simple formula which is able to translate my RGB values into one height value (e.g. H = aR + bG + c*B) Any hint or tips? Is it even possible at all?