The importance of proper sequencing in estimating the length and fractal dimension of tortuous curves

Attila R. Imre, Owen R. Bidder

Research output: Contribution to journalArticle

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.

Original languageEnglish
Article number1550041
JournalFractals
Volume23
Issue number4
DOIs
Publication statusPublished - Dec 1 2015

Keywords

  • Digital Geometry
  • Fractal Dimension
  • Linear Hierarchy
  • Ranking
  • Tortuous Lines

ASJC Scopus subject areas

  • Modelling and Simulation
  • Geometry and Topology
  • Applied Mathematics

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