KFU. Card publication. Novel approach to calculation of box dimension of fractal functions

KAZAN
FEDERAL UNIVERSITY

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NOVEL APPROACH TO CALCULATION OF BOX DIMENSION OF FRACTAL FUNCTIONS

Form of presentation

Articles in international journals and collections

Year of publication

2014

Язык

русский

Authors, employees of KFU

Igudesman Konstantin Borisovich, author

Lavrenov Roman Olegovich, author

Authors, postgraduates KFU

Lavrenov Roman Olegovich, postgraduate kfu

Bibliographic description in the original language

Igudesman, Konstantin, Roman Lavrenov, and Victor Klassen. Novel Approach to Calculation of Box Dimension of Fractal Functions. Applied Mathematical Sciences 8.144 (2014): 7175-7181.

Annotation

We introduce new method of calculation of box dimension of fractal functions' graphs, which are based on fractal interpolation functions. Provide a comparison of the effectiveness of the traditional method of calculating the box dimension to our new approach. On the example of the Weierstrass function we show that the new method almost 3 times more effective than classical.

Keywords

Box dimension, fractal, approximation, Weierstrass function, iterated function system, fractal interpolation, Minkowski dimension.

The name of the journal

Applied Mathematical Sciences

URL

http://www.scopus.com/inward/record.url?eid=2-s2.0-84918769840&partnerID=40&md5=a0934823342de18f7c6ad8a80c3e7b98

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=107862&p_lang=2

Resource files

File name	Size (MB)	Format
F_2014_Novel_Approach_to_Calculation_of_Box_Dimension_of_Fractal_Functions.pdf	0,20	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Igudesman Konstantin Borisovich	ru_RU
dc.contributor.author	Lavrenov Roman Olegovich	ru_RU
dc.contributor.author	Lavrenov Roman Olegovich	ru_RU
dc.date.accessioned	2014-01-01T00:00:00Z	ru_RU
dc.date.available	2014-01-01T00:00:00Z	ru_RU
dc.date.issued	2014	ru_RU
dc.identifier.citation	Igudesman, Konstantin, Roman Lavrenov, and Victor Klassen. Novel Approach to Calculation of Box Dimension of Fractal Functions. Applied Mathematical Sciences 8.144 (2014): 7175-7181.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=107862&p_lang=2	ru_RU
dc.description.abstract	Applied Mathematical Sciences	ru_RU
dc.description.abstract	We introduce new method of calculation of box dimension of fractal functions' graphs, which are based on fractal interpolation functions. Provide a comparison of the effectiveness of the traditional method of calculating the box dimension to our new approach. On the example of the Weierstrass function we show that the new method almost 3 times more effective than classical.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Box dimension	ru_RU
dc.subject	fractal	ru_RU
dc.subject	approximation	ru_RU
dc.subject	Weierstrass function	ru_RU
dc.subject	iterated function system	ru_RU
dc.subject	fractal interpolation	ru_RU
dc.subject	Minkowski dimension.	ru_RU
dc.title	Novel approach to calculation of box dimension of fractal functions	ru_RU
dc.type	Articles in international journals and collections	ru_RU