ENHANCING VOLUMETRIC BOULIGAND–MINKOWSKI FRACTAL DESCRIPTORS BY USING FUNCTIONAL DATA ANALYSIS

João Batista Florindo, Mário de Castro and Odemir Martinez Bruno
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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

International Journal of Modern Physics C (IJMPC), 2011, vol. 22, issue 09, 929-952

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.

Keywords: Bouligand–Minkowski fractal descriptors; fractal theory; functional data analysis (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1142/S0129183111016701

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