Li Hui-Ying, Du Xiao-Ming, Yang Bin, Wu Bin, Xu Zhu, Shi Yi, Fang Ji-Dun, Li Fa-Sheng
Engineering Research Center of Groundwater Pollution Control and Remediation, Ministry of Education, Beijing Normal University, Beijing 100875, China.
State Key Laboratory of Environmental Criteria and Risk Assessment, Chinese Research Academy of Environmental Sciences, Beijing 100012, China.
Huan Jing Ke Xue. 2013 Nov;34(11):4392-8.
Dyes are frequently used to visualize fingering flow pathways, where the image process has an important role in the result analysis. The theory of fractal geometry is applied to give quantitative description of the stain patterns via image analysis, which is helpful for finger characterization and prediction. This description typically involves two parameters, a mass fractal dimension (D(m)) relative to the area, and a surface fractal dimension (D(s)) relative to the perimeter. This work detailed analyzes the influence of various choices during the thresholding step that transformed the origin color images to binary ones which are needed in the fractal analysis. One hundred and thirty images were obtained from laboratory two-dimension sand box infiltration experiments of four dyed non-aqueous phase liquids. Detailed comparisons of D(m) and D(s) were made respectively, considering a set of threshold algorithms and the filling of lakes. Results indicate that adjustments of the saturation threshold influence are less on both D(m) and D(s) in the laboratory experiments. The brightness threshold adjustments decrease the D(m) by 0.02 and increase the D(s) by 0.05. Filling lakes influence the D(m) less while the D(s) decrease by 0.10. Therefore the D(m) was recommended for further analysis to avoid subjective choices' influence in the image process.
染料经常被用于可视化指进流动路径,其中图像处理在结果分析中起着重要作用。分形几何理论被应用于通过图像分析对染色图案进行定量描述,这有助于指进特征化和预测。这种描述通常涉及两个参数,一个是相对于面积的质量分形维数(D(m)),另一个是相对于周长的表面分形维数(D(s))。这项工作详细分析了在阈值化步骤中各种选择的影响,该步骤将原始彩色图像转换为分形分析所需的二值图像。从四种染色非水相液体的实验室二维砂箱渗透实验中获得了130张图像。分别考虑一组阈值算法和湖泊填充情况,对D(m)和D(s)进行了详细比较。结果表明,在实验室实验中,饱和度阈值调整对D(m)和D(s)的影响较小。亮度阈值调整使D(m)降低0.02,使D(s)增加0.05。湖泊填充对D(m)的影响较小,而D(s)降低0.10。因此,建议采用D(m)进行进一步分析,以避免图像处理中主观选择的影响。