This paper describes an effective method for solving a common problem in colorimetry: transforming the colorimetric data sets between two colour measuring instruments, standard colorimetric observers, or illuminants. The method is based on the polynomial modeling. It is found that the model gave quite satisfactory transformation and could be almost exactly reversed even through it does not have an analytical expression for the inversion.
Changjun Li, M Ronnier Luo, "Effective Correction Modeling Between Colorimetric Datasets" in Proc. IS&T 14th Color and Imaging Conf., 2006, pp 252 - 256, https://doi.org/10.2352/CIC.2006.14.1.art00046