Linear transformation based error correction algorithm for fractal dimension estimation of images

Artem Napryushkin, Vladimir Kibitkin, Vasiliy Pleshanov

Результат исследований: Материалы для журналаСтатьярецензирование

5 Цитирования (Scopus)

Аннотация

The paper proposes the idea of the error correction algorithm for the fractal dimension estimation based on the linear transformation approach allowing the estimation accuracy to be improved essentially. The proposed algorithm is based on the use of the isarithm and triangular prism estimation methods. The results of comparison of a few fractal dimension estimation methods with the use of artificial images generated by several surface generation algorithms are discussed. It is demonstrated that the surface generation algorithm on the base of Fourier filtering is the most suitable for generating artificial images with known fractal dimension. The experimental results of the error correction algorithm evaluation with artificial images demonstrated that the estimation error rate is decreased several times after linear transformation and correction and does not depend on fractal dimension of the image estimated. The results obtained in the work can be considered as general and the proposed error correction algorithm can be applied to accurate fractal dimension estimation of most natural phenomena.

Язык оригиналаАнглийский
Страницы (с-по)2094-2101
Число страниц8
ЖурналSignal Processing
Том90
Номер выпуска6
DOI
СостояниеОпубликовано - июн 2010
Опубликовано для внешнего пользованияДа

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition

Fingerprint Подробные сведения о темах исследования «Linear transformation based error correction algorithm for fractal dimension estimation of images». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать