Non-Linear Spectral Unmixing of Moon Mineralogy Mapper (M3) Data

Most of the approaches to solve the unmixing problem are based on the Linear Mixing Model (LMM) which is questionable. Therefore, nonlinear spectral model is generally used to study the effects of multiple scattering in the complex surfaces. In this paper, we have demonstrated the application of Radiative Transform Equation (RTE) based Hapke multi scattering model. The Hapke model based non-linear spectral unmixing is carried out on a Moon Mineralogy Mapper (M3 ) data. The values of six non-linear Hapke's model parameters are estimated using a MATLAB based algorithm after optimizing the Hapke corrected M3-Endmembers and modeled spectra through minimum Root Mean Square Error (RMSE). After addressing the non-linear components in the image derived M3-Endmembers, the automated library candidate selection scheme is followed to estimate the corrected mineralogy over lunar surface.