Fractal Analysis
Christopher Lloyd
Abstract
Christopher Lloyd
Abstract
This chapter reviews the concept of fractal dimensionality. The measurement of fractal dimensions of lines (curves) and surfaces is discussed in the chapter; some commonly used approaches for measuring fractal D from point, line, area and grid-based data, are described. While few objects or phenomena are well represented by fractal models, D may provide a useful summary of the spatial characteristics of an object or a set of objects. Case studies detail the practical implementation of some common approaches to measuring D, with a particular focus on the analysis of landforms. Other applications of fractal analysis namely, remotely sensed imagery and analysis of urban form, are also explained.
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This chapter reviews the concept of fractal dimensionality. The measurement of fractal dimensions of lines (curves) and surfaces is discussed in the chapter; some commonly used approaches for measuring fractal D from point, line, area and grid-based data, are described. While few objects or phenomena are well represented by fractal models, D may provide a useful summary of the spatial characteristics of an object or a set of objects. Case studies detail the practical implementation of some common approaches to measuring D, with a particular focus on the analysis of landforms. Other applications of fractal analysis namely, remotely sensed imagery and analysis of urban form, are also explained.
Key concepts: Fractal, Fractal analysis, Fractal dimension, Focus (optics), Grid, Computer science, Point (geometry), Set (abstract data type)