Fractals and the Cartographic Line

G. J. Lawford · E. G. Masters

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Historical Geography and Cartography Mathematical Dynamics and Fractals Geographic Information Systems Studies

Abstract

The concepts of fractal and fractal dimension are defined and their history and development described. The common methods of measuring the fractal dimension of cartographic lines are described, as are their pros and cons. Past research into the application of fractal theory to the cartographic line is reviewed.

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1992On the Issues of Scale, Resolution, and Fractal Analysis in the Mapping Sciences*1987Fractal and Automated Line Generalization 1989Scale-Dependence And Self-Similarity In Cartographic Lines 1986Fractal Dimension and Inconsistencies in Cartographic Line Representations 1990The Comparison of Complexity Measures for Cartographic Lines (90-1)1987Fractal and Automated Line Generalization 2000Assessment of error in digital vector data using fractal geometry 1989A Fractal Analysis of Cartographic Generalization

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