Multi-fractal analysis of dynamic infrared image of human thyroids

Fan Xueshuang; Sun Qiang; Lv Shenzhen; Yang Jianbai; Wang Jian

doi:10.3788/irla201948.0426002

[1] Han F, Liang C W, Shi G L, et al. Clinical applications of internal heat source analysis for breast cancer identification[J]. Gent Mol Res, 2015, 14(1): 1450-1460.

[2] Das K, Sungh R, Mishras C. Numerical analysis for determination of the presence of a tumor and estimation of its size and location in a tissue[J]. Journal of Thermal Biology, 2013, 38: 32-40.

[3] Acharya U R, Ng E Y K, Tan J H. Thermography based breast cancer detecting using texture features and support vector machine[J]. Journal of Medical Systems, 2012, 33: 1503-1510.

[4] Jones B F, Plassmann P. Digital infrared thermal imaging of human skin[J]. IEEE Engineering in Medicine and Biology Magazine, 2002, 21(6): 41-48.

[5] Silva L F, Santos A A S M D, Bravo R S, et al. Hybrid analysis for indicating patients with breast cancer using temperature time series[J]. Computer Methods and Programs in Biomedicine, 2016, 130: 142-153.

[6] Gavriloaia G, Ghemigian A M, Gavriloaia M R. Infrared signature analysis of the thyroid tumors[C]//European Conference on Biomedical Optics. Optical Society of America, 2009: 7371_1F.

[7] Gerasimova E, Auditb, Roux S G, et al. Multifractal analysis of dynamic infrared imaging of breast cancer[J]. EPL (Europhysics Letters), 2014, 104(6): 68001.

[8] Muzy J F, Bacry E, Arenodo A. The multifractal formalism revisited with wavelets[J]. International Journal of Bifurcation and Chaos, 1994, 4(2): 245-302.

[9] Bacry E, Muzy J F, Arneodo A. Singularity spectrum of fractal signals from wavelet analysis: Exact results[J]. Journal of Statistical Physics, 1993, 70(3-4): 635-674.

[10] Arendod A, Bacry E, Muzy J F. The thermodynamics of fractals revisited with wavelets[J]. Physica A: Statistical Mechanics and its Applications, 1995, 213(1-2): 232-275.

[11] Ivanov P C, Amaral L A N, Goldberger A L, et al. Multifractality in human heartbeat dynamics[J]. Nature, 1999, 399(6735): 461-465.

[12] Ivanov P C, Nunes Amaral L A, Goleberger A L, et al. From 1/f noise to multifractal cascades in heartbeat dynamics[J]. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2001, 11(3): 641-652.

[13] Goldberger A L, Amaral L A N, Hausdorff J M, et al. Fractal dynamics in physiology: alterations with disease and aging[J]. Proceedings of the National Academy of Sciences, 2002, 99(S1): 2466-2472.