2014Unpublished venueRequires access

Fractal Analysis

Christopher Lloyd

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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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What this paper is about

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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Available 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.

Key concepts: Fractal, Fractal analysis, Fractal dimension, Focus (optics), Grid, Computer science, Point (geometry), Set (abstract data type)

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