Translation and rotation invariant method of Renyi dimension estimation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F18%3A00326731" target="_blank" >RIV/68407700:21340/18:00326731 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.chaos.2018.07.030" target="_blank" >http://dx.doi.org/10.1016/j.chaos.2018.07.030</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.chaos.2018.07.030" target="_blank" >10.1016/j.chaos.2018.07.030</a>

Result language
angličtina
Original language name
Translation and rotation invariant method of Renyi dimension estimation
Original language description
A fractal dimension is a non-integer characteristic that measures the space filling of an arbitrary set. The conventional methods usually provide a biased estimation of the fractal dimension, and therefore it is necessary to develop more complex methods for its estimation. A new characteristic based on the Parzen estimate formula is presented, and for the analysis of correlation dimension, a novel approach that employs the log-linear dependence of a modified Renyi entropy is used. The new formula for the Renyi entropy has been investigated both theoretically and experimentally on selected fractal sets.
Czech name
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Czech description
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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)

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

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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