Richardson's method of segment counting versus box-counting

Nebojša T. Milošević; Nemanja Rajković; Herbert F. Jelinek; Dušan Ristanović

doi:10.1109/CSCS.2013.52

Richardson's method of segment counting versus box-counting

Nebojša T. Milošević
, Nemanja Rajković
, Herbert F. Jelinek
, Dušan Ristanović

Biomedical Engineering & Biotechnology

University of Belgrade

Research output: Contribution to conference › Paper › peer-review

10 Scopus citations

Abstract

Fractal analysis has become a popular method in all branches of scientific investigation including biology and medicine. This paper presents solution for many unresolved questions about the methodology of fractal theory, precisely in connection between fractal geometry and fractal analysis. While some concepts in fractal theory are determined descriptively and/or qualitatively, this paper provides their exact mathematical definition or explanation. Also, we present results in applying two basic length-related methods on two dimensional neuronal images and discuss their applicability.

Original language	British English
Pages	299-305
Number of pages	7
DOIs	https://doi.org/10.1109/CSCS.2013.52
State	Published - 2013
Event	19th International Conference on Control Systems and Computer Science, CSCS 2013 - Bucharest, Romania Duration: 29 May 2013 → 31 May 2013

Conference

Conference	19th International Conference on Control Systems and Computer Science, CSCS 2013
Country/Territory	Romania
City	Bucharest
Period	29/05/13 → 31/05/13

Keywords

Box-counting method
Fractal analysis
Fractal geometry
Image
Neuron
Segment-counting method

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10.1109/CSCS.2013.52

Cite this

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abstract = "Fractal analysis has become a popular method in all branches of scientific investigation including biology and medicine. This paper presents solution for many unresolved questions about the methodology of fractal theory, precisely in connection between fractal geometry and fractal analysis. While some concepts in fractal theory are determined descriptively and/or qualitatively, this paper provides their exact mathematical definition or explanation. Also, we present results in applying two basic length-related methods on two dimensional neuronal images and discuss their applicability.",

keywords = "Box-counting method, Fractal analysis, Fractal geometry, Image, Neuron, Segment-counting method",

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year = "2013",

doi = "10.1109/CSCS.2013.52",

language = "British English",

pages = "299--305",

note = "19th International Conference on Control Systems and Computer Science, CSCS 2013 ; Conference date: 29-05-2013 Through 31-05-2013",

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TY - CONF

T1 - Richardson's method of segment counting versus box-counting

AU - Milošević, Nebojša T.

AU - Rajković, Nemanja

AU - Jelinek, Herbert F.

AU - Ristanović, Dušan

PY - 2013

Y1 - 2013

N2 - Fractal analysis has become a popular method in all branches of scientific investigation including biology and medicine. This paper presents solution for many unresolved questions about the methodology of fractal theory, precisely in connection between fractal geometry and fractal analysis. While some concepts in fractal theory are determined descriptively and/or qualitatively, this paper provides their exact mathematical definition or explanation. Also, we present results in applying two basic length-related methods on two dimensional neuronal images and discuss their applicability.

AB - Fractal analysis has become a popular method in all branches of scientific investigation including biology and medicine. This paper presents solution for many unresolved questions about the methodology of fractal theory, precisely in connection between fractal geometry and fractal analysis. While some concepts in fractal theory are determined descriptively and/or qualitatively, this paper provides their exact mathematical definition or explanation. Also, we present results in applying two basic length-related methods on two dimensional neuronal images and discuss their applicability.

KW - Box-counting method

KW - Fractal analysis

KW - Fractal geometry

KW - Image

KW - Neuron

KW - Segment-counting method

UR - https://www.scopus.com/pages/publications/84883350103

U2 - 10.1109/CSCS.2013.52

DO - 10.1109/CSCS.2013.52

M3 - Paper

AN - SCOPUS:84883350103

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T2 - 19th International Conference on Control Systems and Computer Science, CSCS 2013

Y2 - 29 May 2013 through 31 May 2013

ER -

Richardson's method of segment counting versus box-counting

Abstract

Conference

Keywords

Access to Document

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