Application of rotational spectrum for correlation dimension estimation

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Application of rotational spectrum for correlation dimension estimation

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Application of rotational spectrum for correlation dimension estimation

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

CHAOS SOLITONS & FRACTALS

ISSN

0960-0779

e-ISSN

1873-2887

Svazek periodika

99

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

7

Strana od-do

256-262

Kód UT WoS článku

000402945300033

EID výsledku v databázi Scopus

2-s2.0-85017518743