Application of rotational spectrum for correlation dimension estimation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00316537" target="_blank" >RIV/68407700:21340/17:00316537 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.chaos.2017.04.026" target="_blank" >http://dx.doi.org/10.1016/j.chaos.2017.04.026</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.chaos.2017.04.026" target="_blank" >10.1016/j.chaos.2017.04.026</a>
Alternative languages
Result language
angličtina
Original language name
Application of rotational spectrum for correlation dimension estimation
Original language description
Correlation dimension is one of the many types of fractal dimension. It is usually estimated from a finite number of points from a fractal set using correlation sum and regression in a log-log plot. However, this traditional approach requires a large amount of data and often leads to a biased estimate. The novel approach proposed here can be used for the estimation of the correlation dimension in a frequency domain using the power spectrum of the investigated fractal set. This work presents a new spectral characteristic called “rotational spectrum” and shows its properties in relation to the correlation dimension. The theoretical results can be directly applied to uniformly distributed samples from a given point set. The efficiency of the proposed method was tested on sets with a known correlation dimension using Monte Carlo simulation. The simulation results showed that this method can provide an unbiased estimation for many types of fractal sets.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
CHAOS SOLITONS & FRACTALS
ISSN
0960-0779
e-ISSN
1873-2887
Volume of the periodical
99
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
7
Pages from-to
256-262
UT code for WoS article
000402945300033
EID of the result in the Scopus database
2-s2.0-85017518743