THE IMPORTANCE OF PROPER SEQUENCING IN ESTIMATING THE LENGTH AND FRACTAL DIMENSION OF TORTUOUS CURVES-Reference-Cited by-同舟云学术

THE IMPORTANCE OF PROPER SEQUENCING IN ESTIMATING THE LENGTH AND FRACTAL DIMENSION OF TORTUOUS CURVES

Published:2015-12 Issue:04 Volume:23 Page:1550041
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

IMRE ATTILA R.¹²,BIDDER OWEN R.³⁴

Affiliation:

1. HAS Centre for Energy Research, H-1525 POB 49, Budapest, Hungary

2. Department of Energy Engineering, Budapest University of Technology and Economics, Müegyetem rkp. 3, D208, H-1111 Budapest, Hungary

3. Biological Sciences, College of Science, Swansea University, Singleton Park Swansea SA2 8PP, UK

4. Stiftung Tierärztliche Hochschule Hannover, Institut für Terrestrische und Aquatische Wildtierforschung, Werftstr. 6, 25761 Büsum, Germany

Abstract

There are several cases when tortuous continuous lines have to be discretized in order to measure length and other related quantities. In this methodological paper, we are going to demonstrate the importance of the proper sequencing (ranking) of the discrete points and call attention to some typical errors caused by improper sequencing. For demonstration, the fractal dimensions of an animal track with well-known original sequencing and for some mixed sequencing are estimated and the extent of errors is shown.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X15500413

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