Exact Affine Histogram Matching by Cumulants Transformation

Andrea Fusiello

Abstract: This paper proposes an exact solution to histogram matching under affine transformation, i.e., it shows how to retrieve an unknown affine transformation between the colors of two images. The key is the use of the third central moment (skewness) in addition to covariance and mean. These three moments (a.k.a. cumulants) are sufficient to determine all the d.o.f. of an affine mapping of the RGB space.