Illumination invariant unmixing of sets of mixed pixels

In this paper, we propose some statistics of distributions of sets of pixels corresponding to rough surfaces, which are illumination invariant and therefore they can characterize the distributions irrespective of the solar angle. The illumination invariant statistics are used to solve the linear spectral unmixing problem for sets of mixed pixels, taking into consideration the distortion introduced to the statistics due to surface texture. The spectral unmixing of sets of mixed pixels is formulated in terms of the invariant statistics and the method is demonstrated using simulated data.