An intelligent system to study the fractal dimension of trabecular bones

Issue title: Special Section: Iteration, Dynamics and Nonlinearity

Guest editors: Manuel Fernández-Martínez and Juan L.G. Guirao

Article type: Research Article

Authors: Fernández-Martínez, Manuel^a | Gómez García, Francisco J.^b | Sánchez, Yolanda Guerrero^{b; *} | Jornet, Pía López^b

Affiliations: [a] University Centre of Defence at the Spanish Air Force Academy, MDE-UPCT, 30720 Santiago de la Ribera, Murcia, Spain | [b] Department of Dermatology, Stomatology, Radiology and Physical Medicine, Morales Meseguer General Universitary Hospital, Avda. Marqués de los Vélez, 30008 Murcia, Spain

Correspondence: [*] Corresponding author. Yolanda Guerrero Sánchez, Department of Dermatology, Stomatology, Radiology and Physical Medicine, Morales Meseguer General Universitary Hospital, Avda. Marqués de los Vélez, 30008 Murcia, Spain. E-mail: [email protected].

Note: [1] The first author has been partially supported by Grants No. 19219/PI/14 from Fundación Séneca of Región de Murcia and No. MTM2015-64373-P from Spanish Ministry of Economy and Competitiveness.

Abstract: In this paper, we explore the fractal dimension of Cone Beam Computed Tomography images to analyze the trabecular bone structure of healthy subjects. That quantity, computed throughout three distinct approaches, provided us accurate values of normality concerning the radiographic density of this kind of bones and will allow us to establish comparisons with respect to the fractal dimension from patients with different pathologies that may affect the density of trabecular bones.

Keywords: Fractal, fractal pattern, fractal dimension, box-counting dimension, fractal structure, space-filling curve, cone beam computed tomography scan, periodontitis, bone quality, trabecular bone

DOI: 10.3233/JIFS-169772

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 4, pp. 4533-4540, 2018