Sources of error in the photoclinometric determination of planetary topography - A reappraisal

Computer Science

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Error Analysis, Photogrammetry, Planetary Surfaces, Satellite-Borne Photography, Triton, Atmospheric Scattering, Basalt, Meteorite Craters, Topography

Scientific paper

A direct approach to error analysis is considered, in which known topography is compared with photoclinometric profiles derived from synthetic quantized reflectance scans. Instrumental and geometric sources of error are found to exert a minimal influence on profiles in practice. Environmental factors are considered to be far more important. It is found that a simple Lommel-Seeliger law is unlikely to be appropriate to the majority of planetary terrains, given its inability to model the effects of multiple scattering or unresolved macroscopic roughness. It is demonstrated that a Minnaert function or combination of Lommel-Seeliger and Lambert laws may empirically compensate for the first of these phenomena but not for the second; in this respect, Hapke's equation is considered to be a far superior model of surface optical properties. Attention is also given to case studies of a small impact crater on Triton and a dust-mantled basaltic lava flow on Mars.

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