Sure, but what are the images supposed to show about the relationship between the height mapping methods?
UPDATE: If, by chance, the first is the black and white version, and the second is the other version, the problem appears to go beyond remapping the colors. In the mountainous region of the second image, there are dark specks of color scattered upon a white background. That would seem to make no sense for a true height map, which should be relatively continuous. Maybe the non-white dots represent points where the height has been sampled; but in any case, I don't believe it's just a matter of remapping colors.