Abstract：
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) D q 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 η s is linked to mass fractal dimension D 0 in an approximately linear relationship as D 0 ≈ η s + d ¯ 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.
摘要：
对人牙本质孔隙率进行了多重分形表征。研究了从扫描电子显微镜（SEM）获得的人牙本质样品的显微照片，以表征孔隙率。我们得到了两种性别样本的灰度和二值图像上的孔隙空间和矩阵骨架的广义维数（多重分形矩）Dq$${D}_q$$。对于这个案子,我们发现，对于二进制图像，表面孔隙率ηs$$${\\\eta}_s$$与质量分形维数D0$${D}_0$$呈近似线性关系，即D0≈ηsd${D}_0\\大约{\\eta}_s\\\overline{d}$$。此外,孔径的概率密度分布（PDD）被发现是正常的PDD类型。其他感兴趣的数量，如平均，标准偏差，最大和最小孔径，voit比率，报告了化学成分的百分比。研究重点：SEM样品，详细介绍了多重分形分析的图像和过程。灰度中的微图案是多重分形的，而二元尺度中的微图案是单分形的。表面孔隙度与质量分形维数近似线性相关。从孔隙率值来看，voit比率确定。孔隙直径服从正常PDD。
