An automatic method to determine the size of sliding window for meta fractal dimension curve and its application

The Meta Fractal Dimension (abbreviated as MFD) Model is a method which extends the fractal research of map objects. During the establishment of MFD, the size of sliding window determines the neighborhood range which restricts the segment from the map object and the degree of adjacent overlapped, thus it is one of the most important parameters for MFD. In present research, however, it is chosen artificially, that causes random and unsatisfied operating efficiency. Considering the extended fractal character with scaling variance, and based on its simulating function adopting the Inverse Logistic Model, the paper proposed a method to determine the size of sliding window automatically for constructing MFD of map curve, viz. MFD curve. Several experiments done indicate that this method is easy to operate and has a relatively high calculation precision and a logical result of spatial analysis.