Richardson's method of segment counting versus box-counting

Nebojsa Milosevic; Nemanja Rajkonvic; Herbert Jelinek; Dusan Ristanovic

doi:10.1109/CSCS.2013.52

Richardson's method of segment counting versus box-counting

Nebojsa Milosevic, Nemanja Rajkonvic, Herbert Jelinek, Dusan Ristanovic

Research output: Book chapter/Published conference paper › Conference paper › peer-review

9 Citations (Scopus)

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	English
Title of host publication	CSCS 2013
Subtitle of host publication	19th Proceedings
Place of Publication	United States
Publisher	Institute of Electrical and Electronics Engineers
Pages	299-305
Number of pages	7
ISBN (Electronic)	9781467361408
DOIs	https://doi.org/10.1109/CSCS.2013.52
Publication status	Published - 2013
Event	International Conference on Control Systems and Computer Science (CSCS) - Bucharest, Romania Duration: 29 May 2013 → 31 May 2013

Conference

Conference	International Conference on Control Systems and Computer Science (CSCS)
Period	29/05/13 → 31/05/13

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10.1109/CSCS.2013.52

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@inproceedings{9c1c530b7f654431a27cbb5211cff02d,

title = "Richardson's method of segment counting versus box-counting",

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",

author = "Nebojsa Milosevic and Nemanja Rajkonvic and Herbert Jelinek and Dusan Ristanovic",

note = "Imported on 03 May 2017 - DigiTool details were: publisher = United States: Institute of Electrical and Electronics Engineers, 2013. Event dates (773o) = 29-31 May, 2013; Parent title (773t) = International Conference on Control Systems and Computer Science (CSCS).; International Conference on Control Systems and Computer Science (CSCS) ; Conference date: 29-05-2013 Through 31-05-2013",

year = "2013",

doi = "10.1109/CSCS.2013.52",

language = "English",

pages = "299--305",

booktitle = "CSCS 2013",

publisher = "Institute of Electrical and Electronics Engineers",

}

TY - GEN

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

AU - Milosevic, Nebojsa

AU - Rajkonvic, Nemanja

AU - Jelinek, Herbert

AU - Ristanovic, Dusan

N1 - Imported on 03 May 2017 - DigiTool details were: publisher = United States: Institute of Electrical and Electronics Engineers, 2013. Event dates (773o) = 29-31 May, 2013; Parent title (773t) = International Conference on Control Systems and Computer Science (CSCS).

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

U2 - 10.1109/CSCS.2013.52

DO - 10.1109/CSCS.2013.52

M3 - Conference paper

SP - 299

EP - 305

BT - CSCS 2013

PB - Institute of Electrical and Electronics Engineers

CY - United States

T2 - International Conference on Control Systems and Computer Science (CSCS)

Y2 - 29 May 2013 through 31 May 2013

ER -

Richardson's method of segment counting versus box-counting

Abstract

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