The geological interpretation of photometric surface roughness

Statistics – Computation

Scientific paper

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Astronomical Maps, Photogeology, Pixels, Planetary Surfaces, Surface Roughness, Topography, Astronomical Models, Computational Astrophysics, High Resolution, Physical Properties, Steady State

Scientific paper

A computer-generated km-scale relief map, whose topographic facets on scales of less than a few m are assumed to have smooth particulate surfaces, is the basis of the present investigation of the relationship between photometrically-derived values of Hapke's (1984) roughness parameter theta and topographic scale. The addition of m-km scale-range relief to the otherwise smooth surface alters integral photometric behavior in a way that is consistent with Hapke's equation; the roughness characterized by theta is an integral property over all scales up to the resolution limit of the photometric data used in its determination. With sufficient phase angle coverage, theta can distinguish terrains with very different integral roughnesses.

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