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

D.J. Cornforth; Herbert Jelinek

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

Research output: Book chapter/Published conference paper › Chapter (peer-reviewed) › peer-review

Abstract

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

Original language	English
Title of host publication	Classification and application of fractals
Subtitle of host publication	New research
Editors	Eric W Mitchell, Scott R Murray
Place of Publication	New York
Publisher	Nova Publishers
Chapter	1
Pages	1-22
Number of pages	22
Edition	1st
ISBN (Electronic)	9781624176166
ISBN (Print)	9781613241042
Publication status	Published - 2011

Cite this

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

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

keywords = "Classification, Fractal analysis, Fractal dimension, Multi fractals, Retinal ganglion cells",

author = "D.J. Cornforth and Herbert Jelinek",

note = "Includes bibliographical references and index. ",

year = "2011",

language = "English",

isbn = "9781613241042",

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editor = "Mitchell, {Eric W} and Murray, {Scott R}",

booktitle = "Classification and application of fractals",

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Monofractal and multifractal analysis for interpretation of function-structure relationships in finite size biological material. / Cornforth, D.J.; Jelinek, Herbert.

Classification and application of fractals: New research. ed. / Eric W Mitchell; Scott R Murray. 1st. ed. New York : Nova Publishers, 2011. p. 1-22.

Research output: Book chapter/Published conference paper › Chapter (peer-reviewed) › peer-review

TY - CHAP

T1 - Monofractal and multifractal analysis for interpretation of function-structure relationships in finite size biological material

AU - Cornforth, D.J.

AU - Jelinek, Herbert

N1 - Includes bibliographical references and index.

PY - 2011

Y1 - 2011

N2 - Many structures in biological systems are organised in self-similar patterns. These can often be described conveniently using fractal analysis techniques. In this chapter we show how fractal analysis can provide numerical measures that can help in automated classification and taxonomy of biological tissue types. We examine the limits of the fractal model, and how multifractal analysis and the local connected fractal dimension can address this question.

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

KW - Classification

KW - Fractal analysis

KW - Fractal dimension

KW - Multi fractals

KW - Retinal ganglion cells

M3 - Chapter (peer-reviewed)

SN - 9781613241042

SP - 1

EP - 22

BT - Classification and application of fractals

A2 - Mitchell, Eric W

A2 - Murray, Scott R

PB - Nova Publishers

CY - New York

ER -

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

Abstract

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