Description Approaches and Automated Generalization Algorithms for Groups of Map Objects by Haowen Yan
Author:Haowen Yan
Language: eng
Format: epub, pdf
ISBN: 9789811336782
Publisher: Springer Singapore
Fiorentino et al. (1993) found that the informational entropy of river network varies with the regularity of network characteristics, particularly Horton order, magnitude and topological diameter. They expressed the entropy using fractal plan trees. Fractal plane trees are fractal (self-similar) objects, that can be defined as “having a shape made of parts similar to the whole in some way” (Mandelbrot 1986). Fractal objects result from repeated generations, starting from an initiator (i.e. a set of segments) and using a generator (i.e. a different set of segments). In the construction of the fractal set, the initiator is firstly substituted with the generator, and then each segment of the generator becomes an initiator and is substituted again in a recursive way (e.g. Feder 1988, p.16).
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