The method of approximate cluster analysis and the three-dimensional diagram of optical characteristics of the lunar surface

Astronomy and Astrophysics – Astronomy

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Cluster Analysis, Lunar Albedo, Lunar Maps, Lunar Surface, Optical Properties, Algorithms, Approximation, Color, Isolation, Lunar Rocks

Scientific paper

An approximate isolation algorithm for the isolation of multidimensional clusters is developed and applied in the construction of a three-dimensional diagram of the optical characteristics of the lunar surface. The method is somewhat analogous to that of Koontz and Fukunaga (1972) and involves isolating two-dimensional clusters, adding a new characteristic, and linearizing, a cycle which is repeated a limited number of times. The lunar-surface parameters analyzed are the 620-nm albedo, the 620/380-nm color index, and the 950/620-nm index. The results are presented graphically; the reliability of the cluster-isolation process is discussed; and some correspondences between known lunar morphology and the cluster maps are indicated.

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