Statistics – Applications
Scientific paper
Sep 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006dps....38.5603c&link_type=abstract
American Astronomical Society, DPS meeting #38, #56.03; Bulletin of the American Astronomical Society, Vol. 38, p.585
Statistics
Applications
Scientific paper
To interpret the radiance factor (I/F) data from the Visible Infrared Mapping Spectrometer (VIMS) onboard Cassini, we focused on spectral analysis methodololgy and its applications to map the spectral properties of Titan's surface. It is possible to see Titan's surface through six main atmospheric spectral windows between 0.4 and 5.1 micrometers. Using data within only these windows, most of the ground material appear to be a mixture of a very few number of components [e.g., McCord et al., Planet. and Sp. Sci. 2006]. Spectral shape variations also show strong correlation from one band to another. In addition, photometric effects seem important within these windows. Our objective is to understand the spectral variations between the different classes of surface materials.
Spectral mixtures should be considered. It would also help if spectral absorptions due to the material composition were found and surface or atmosphere scattering effects could be discriminated. We developed an algorithm based on a least-squares inversion of linear spectral unmixing. This gives coefficients for all the spectral components. As the basis equation is not designed to provide approximate solutions, but only exact ones, negative coefficients may occur. An iterative processing has been developed to provide the best linear combination of spectra using only positive coefficients and a limited number of components. The method requires first to choose these spectra. They could be image endmembers, or laboratory spectra or pure materials. The other part is composed of artificial spectra modeling differences of illumination, or some of the major photometric effects, like scattering. We find that the spectral variations at the surface can be explained by a very limited number of materials having different spectral features. The other variations may be mostly due to photometric effects like surface roughness, texture and grain size or atmospheric scattering by aerosols and gases.
Combe Jean-Philippe
Hayne Paul
McCord Th. B.
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