Fractal dimension of time-indexed paths

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Measuring animal track or other trajectories (for example, the track of a flowing particle) by divider method to obtain the fractal dimension without knowing the chronology of the points of the path, one can obtain erroneous results. The importance of time-indexing of the track's point will be demonstrated by a simply geometrical example. Neglecting these indices, the error can be high enough to mask relevant differences between various movement paths.

Original languageEnglish
Pages (from-to)90-94
Number of pages5
JournalApplied Mathematics and Computation
Volume207
Issue number1
DOIs
Publication statusPublished - Jan 1 2009

Keywords

  • Chronology
  • Divider method
  • Fractal dimension
  • Time
  • Tortuosity
  • Trajectory

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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