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Fractal descriptors based on Fourier spectrum applied to texture analysis

Author

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  • Florindo, João Batista
  • Bruno, Odemir Martinez

Abstract

This work proposes the development and study of a novel technique for the generation of fractal descriptors used in texture analysis. The novel descriptors are obtained from a multiscale transform applied to the Fourier technique of fractal dimension calculus. The power spectrum of the Fourier transform of the image is plotted against the frequency in a log–log scale and a multiscale transform is applied to this curve. The obtained values are taken as the fractal descriptors of the image. The validation of the proposal is performed by the use of the descriptors for the classification of a dataset of texture images whose real classes are previously known. The classification precision is compared to other fractal descriptors known in the literature. The results confirm the efficiency of the proposed method.

Suggested Citation

  • Florindo, João Batista & Bruno, Odemir Martinez, 2012. "Fractal descriptors based on Fourier spectrum applied to texture analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4909-4922.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:20:p:4909-4922
    DOI: 10.1016/j.physa.2012.03.039
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    Citations

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    Cited by:

    1. Zunino, Luciano & Ribeiro, Haroldo V., 2016. "Discriminating image textures with the multiscale two-dimensional complexity-entropy causality plane," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 679-688.
    2. Khondekar, Mofazzal Hossain & Ghosh, Koushik & Bhattacharjee, Anup Kumar, 2016. "Scaling and nonlinear behaviour of daily mean temperature time series across IndiaAuthor-Name: Ray, Rajdeep," Chaos, Solitons & Fractals, Elsevier, vol. 84(C), pages 9-14.
    3. Lahmiri, Salim, 2016. "Image characterization by fractal descriptors in variational mode decomposition domain: Application to brain magnetic resonance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 235-243.
    4. Gonçalves, Wesley Nunes & Machado, Bruno Brandoli & Bruno, Odemir Martinez, 2014. "Texture descriptor combining fractal dimension and artificial crawlers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 358-370.

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