Monofractal and multifractal analysis for interpretation of function-structure relationships in finite size biological material

David Cornforth; Herbert F. Jelinek

Monofractal and multifractal analysis for interpretation of function-structure relationships in finite size biological material

David Cornforth, Herbert F. Jelinek

Biomedical Engineering & Biotechnology

University of New South Wales at Australian Defence Force Academy

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

Many structures in biological systems are organised in self-similar patterns. These canoften be described conveniently using fractal analysis techniques. In this chapter weshow how fractal analysis can provide numerical measures that can help in automatedclassification and taxonomy of biological tissue types. We examine the limits of thefractal model, and how multifractal analysis and the local connected fractal dimensioncan address this question.

Original language	British English
Title of host publication	Classification and Application of Fractals
Subtitle of host publication	New Research
Publisher	Nova Science Publishers, Inc.
Pages	303-324
Number of pages	22
ISBN (Print)	9781613241042
State	Published - Oct 2012

Keywords

Fractal analysis
Growth
Measurement
Multi fractals

Cite this

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abstract = "Many structures in biological systems are organised in self-similar patterns. These canoften be described conveniently using fractal analysis techniques. In this chapter weshow how fractal analysis can provide numerical measures that can help in automatedclassification and taxonomy of biological tissue types. We examine the limits of thefractal model, and how multifractal analysis and the local connected fractal dimensioncan address this question.",

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AB - Many structures in biological systems are organised in self-similar patterns. These canoften be described conveniently using fractal analysis techniques. In this chapter weshow how fractal analysis can provide numerical measures that can help in automatedclassification and taxonomy of biological tissue types. We examine the limits of thefractal model, and how multifractal analysis and the local connected fractal dimensioncan address this question.

KW - Fractal analysis

KW - Growth

KW - Measurement

KW - Multi fractals

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BT - Classification and Application of Fractals

PB - Nova Science Publishers, Inc.

ER -

Monofractal and multifractal analysis for interpretation of function-structure relationships in finite size biological material

Abstract

Keywords

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