Fractal analysis for classification of breast lesions

L. B. Alvarado-Cruz; M. Delgadillo-Herrera; C. Toxqui-Quitl; A. Padilla-Vivanco; R. Castro-Ortega; M. Arreola-Esquivel

doi:10.1117/12.2531201

30 August 2019 Fractal analysis for classification of breast lesions

L. B. Alvarado-Cruz, M. Delgadillo-Herrera, C. Toxqui-Quitl, A. Padilla-Vivanco, R. Castro-Ortega, M. Arreola-Esquivel

Author Affiliations +

Proceedings Volume 11104, Current Developments in Lens Design and Optical Engineering XX; 111040U (2019) https://doi.org/10.1117/12.2531201
Event: SPIE Optical Engineering + Applications, 2019, San Diego, California, United States

Abstract

Nowadays, breast lesions are a common health problem among women. Breast thermograms are images recorded by digital-optical systems with high resolution that use infrared technology in order to show vascular and temperature changes. In the present work, we study benign and malignant breast lesions shape by means of fractal analysis. The Fractal Dimension (FD) is calculated with the Box Counting method and the Hurst exponent is obtained using the Wavelet coefficients and the Detrending Moving Average algorithm. These algorithms was applied to synthetic images and breast thermograms. The Fractal Dimension value is used for patient classification with or without breast injury. The proposed methodology was applied to the Database For Mastology Research (DMR) in order to classify thermographic images. The FD of ROIs for breast thermograms was calculated. Results shows that the FD BCM values ranges from [0.45,0.81] in 4 healthy cases and from [0.92,1.33] in 4 unhealthy cases.

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L. B. Alvarado-Cruz, M. Delgadillo-Herrera, C. Toxqui-Quitl, A. Padilla-Vivanco, R. Castro-Ortega, and M. Arreola-Esquivel "Fractal analysis for classification of breast lesions", Proc. SPIE 11104, Current Developments in Lens Design and Optical Engineering XX, 111040U (30 August 2019); https://doi.org/10.1117/12.2531201

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KEYWORDS

Breast

Fractal analysis

Wavelets

Binary data

Numerical analysis

Databases

Thermography

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