Sánchez-Chávez H D, Flores-Cano L, Santiago-Hernández A, García-Soriano A A
Instituto de Física y Matemáticas, Universidad Tecnológica de la Mixteca, Huajuapan de León, Oaxaca, México.
Instituto de Investigaciones en Matemáticas Aplicadas y Sistemas, Universidad Nacional Autónoma de México, Unidad Mérida, Ucú, Yucatan, México.
Microsc Res Tech. 2024 Jan;87(1):10-20. doi: 10.1002/jemt.24378. Epub 2023 Oct 4.
A multifractal characterization to human dentin porosity is made. Micrographs of human dentin samples gotten from scanning electron microscopy (SEM) were studied in order to characterize porosity. We got the generalized dimensions (multifractal moments) for pore space and matrix skeleton on gray scale and binary images for samples of both gender. For the case, we found that superficial porosity is linked to mass fractal dimension in an approximately linear relationship as for binary images. In addition, probability density distribution (PDD) for pore diameters is found a normal PDD type. Other quantities of interest like mean, standard deviation, maximum and minimum pore diameters, voit ratios, and percentage of chemical composition are reported. RESEARCH HIGHLIGHTS: SEM sample, images and procedure for multifractal analysis are detailed. Micro patterns in grayscale are multifractal and in binary scale are monofractals. Superficial porosity is relate to mass fractal dimension approximately linearly. From the porosity values, voit ratios are determined. Pores diameters obey a normal PDD.
对人类牙本质孔隙率进行了多重分形表征。研究了通过扫描电子显微镜（SEM）获得的人类牙本质样本的显微照片，以表征孔隙率。我们针对不同性别的样本，在灰度图像和二值图像上获取了孔隙空间和基质骨架的广义维度（多重分形矩）。对于这种情况，我们发现对于二值图像，表面孔隙率与质量分形维数呈近似线性关系。此外，发现孔隙直径的概率密度分布（PDD）为正态PDD类型。还报告了其他感兴趣的量，如平均、标准偏差、最大和最小孔隙直径、沃伊特比率以及化学成分百分比。研究亮点：详细介绍了用于多重分形分析的SEM样本、图像和程序。灰度微图案是多重分形的，二值尺度下是单分形的。表面孔隙率与质量分形维数近似线性相关。根据孔隙率值确定沃伊特比率。孔隙直径服从正态PDD。
