Smooth spectral unmixing using total variation regularization and a first order roughness penalty

Hyperspectral unmixing is the task of decomposing hyperspectral images into endmembers and their abundances. The endmembers are spectral signatures of specific material in the image and the abundances dictate the amount of the material found in each pixel. In this paper we present a blind signal separation method, based on the total variation penalty, that simultaneously estimates the endmembers and the abundances. We evaluate our method using both simulated and a real data set.