A Spatial Form of Diversity

Information theory has long provided a mathematical framework for statistically evaluating the diversity a given signal is able to produce. This paper applies information theory to multi-dimensional spaces, discusses the limits of conventional measures of diversity, and introduces a spatial component into the measure of diversity. This leads to a spatial form of diversity that provides a novel way to study spatial structures where categories and distances are amongst key factors in the analysis. The approach is exemplified with spatial configuration samples.

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