Publication result detail

Power-function method of fractal dimension estimation

MARTIŠEK, D.; DRUCKMÜLLEROVÁ, H.

Original Title

Power-function method of fractal dimension estimation

English Title

Power-function method of fractal dimension estimation

Type

Paper in proceedings (conference paper)

Original Abstract

In this contribution, systematic error of measurement of the fractal dimension with the well-known box-counting method is presented and a method based on the box-counting method that does not suffer with this drawback is proposed. Fractal dimensions of well-known fractals are measured by means of this new method and the results are compared to those measured with the standard box-counting method.

English abstract

In this contribution, systematic error of measurement of the fractal dimension with the well-known box-counting method is presented and a method based on the box-counting method that does not suffer with this drawback is proposed. Fractal dimensions of well-known fractals are measured by means of this new method and the results are compared to those measured with the standard box-counting method.

Keywords

Hausdorff dimension, grid dimension, box counting, power-function method

Key words in English

Hausdorff dimension, grid dimension, box counting, power-function method

Authors

MARTIŠEK, D.; DRUCKMÜLLEROVÁ, H.

Released

25.06.2014

Publisher

Brno University of Technology, Faculty of Mechanical Engineering, Institute of Automation and Computer Science

Location

Brno, Czech Republic

ISBN

978-80-214-4984-8

Book

Mendel 2014 20th International Conference of Soft Computing

ISBN

1803-3814

Periodical

Mendel Journal series

State

Czech Republic

Pages from

147

Pages to

152

Pages count

6

BibTex

@inproceedings{BUT108341,
  author="Dalibor {Martišek} and Hana {Druckmüllerová}",
  title="Power-function method of fractal dimension estimation",
  booktitle="Mendel 2014 20th International Conference of Soft Computing",
  year="2014",
  journal="Mendel Journal series",
  pages="147--152",
  publisher="Brno University of Technology, Faculty of Mechanical Engineering, Institute of Automation and Computer Science",
  address="Brno, Czech Republic",
  isbn="978-80-214-4984-8",
  issn="1803-3814"
}