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2010 year, number 1

Use of the Theory of Fractals in Image Analysis Tasks

V. S. Pleshanov, A. A. Napryushkin, V. V. Kibitkin
Keywords: fractal, fractal dimension, image, algorithm, generation, error
Pages: 86-97


A detailed review of the best-known methods for estimating fractal dimension (FD) is given, and their accuracy and computational complexity are demonstrated by estimating the FD of model images with a high degree of self-similarity. A new algorithm for estimating FD by linear transformations is proposed which gives much lower error without significantly increasing the computational complexity.