Estimation of number-area-frequency dimensions of surface water bodies

This paper proposes a technique that includes a set of mathematical morphol ogical transformations to estimate the frequency dimension. The dimension c omputed through a power law relationship is tallied with the dimension comp uted through a correlational plot. This technique is demonstrated on a two- dimensional section embodying a large number of surface water bodies, extra cted from remotely sensed data, situated randomly, and the frequency dimens ion (D) for surface water bodies yields straight-line dependence of lnC(r) (correlational integral) on In(r) (radius of structuring template). The cor relational integral is computed for two aspects by considering the number o f water bodies and their corresponding occupied areas. The number-frequency dimension and the area-frequency dimension computed through correlational plots yield straight-line dependencies with slopes that are greater than un ity but less than 2.0 (1.3 and 1.7, respectively).