TILING STRATEGIES IN THE PATCHWORK METHOD AND THE DETERMINATION OF SCALE-AREA RELATIONS

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Abstract
The compass and patchwork methods estimate the length of a profile, or the area of a topographic data set, as a function of the scale of measurement. The strategy that is used for the patch placement, or the starting point used for the compass, appears to have some influence on the results. The results of different strategies are compared on the log-log plot of scale versus area or length. Positive slopes on these log-log plots indicate periodicity in the data set, at a wavelength corresponding to the local minimum.

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