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Enhancing Volumetric Bouligand–Minkowski Fractal Descriptors By Using Functional Data Analysis

Author

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  • JOÃO BATISTA FLORINDO

    (Universidade de São Paulo, Instituto de Física de São Carlos, Av. Trabalhador São-Carlense, 400, São Carlos, São Paulo, Brazil)

  • MÁRIO DE CASTRO

    (Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, Av. Trabalhador São-Carlense, 400, São Carlos, São Paulo, Brazil)

  • ODEMIR MARTINEZ BRUNO

    (Universidade de São Paulo, Instituto de Física de São Carlos, Av. Trabalhador São-Carlense, 400, São Carlos, São Paulo, Brazil)

Abstract

This work proposes and studies the concept of Functional Data Analysis transform, applying it to the performance improving of volumetric Bouligand–Minkowski fractal descriptors. The proposed transform consists essentially in changing the descriptors originally defined in the space of the calculus of fractal dimension into the space of coefficients used in the functional data representation of these descriptors. The transformed descriptors are used here in texture classification problems. The enhancement provided by the FDA transform is measured by comparing the transformed to the original descriptors in terms of the correctness rate in the classification of well known datasets.

Suggested Citation

  • João Batista Florindo & Mário De Castro & Odemir Martinez Bruno, 2011. "Enhancing Volumetric Bouligand–Minkowski Fractal Descriptors By Using Functional Data Analysis," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(09), pages 929-952.
    • Handle: RePEc:wsi:ijmpcx:v:22:y:2011:i:09:n:s0129183111016701
    DOI: 10.1142/S0129183111016701
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    Cited by:

    1. Oliveira, Marcos William da S. & Casanova, Dalcimar & Florindo, João B. & Bruno, Odemir M., 2014. "Enhancing fractal descriptors on images by combining boundary and interior of Minkowski dilation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 41-48.

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