基于片烟图像处理面积及feret直径的分形分析

Fractal analysis of tobacco strip area and Feret’s diameter based on image processing

为解决传统工艺法检测片烟结构时存在时效性差、准确性低及对片烟损伤度大等问题,采用图像处理技术并结合分形理论的方法,运用计盒维数法计算片烟分形维数,分析了片烟分形维数与片烟面积、feret直径的分形特性。结果表明:(1)IPP图像处理软件测量结果与正方形标准面积的T检验p=0.227>0.05,片烟参数的测量值与真实值无显著差异。(2)利用计盒维数法测定片烟分形维数,其拟合回归方程的决定系数均超过0.81,且方差分析结果P值均小于0.05。(3)片烟面积、feret直径与片烟分形维数均呈极显著正相关关系,且分形维数D与ln S、lnφ所拟合方程的R^2分别为0.994和0.960,即片烟面积及feret直径对片烟分形维数影响程度不同。(4)建立的片烟分形维数模型的拟合方程均方根误差RMSE为0.016、误差平方和SSE为0.025、决定系数R^2达0.996,且模型检验绝对误差均值为0.014、相对误差均值为1.130%,拟合度良好且精确度高。(5)小片片烟分形维数范围0.664<D≤0.829;中短片片烟分形维数范围0.829<D≤1.000;中长片片烟分形维数范围1.000<D≤1.201;大片片烟分形维数范围1.201<D≤1.615。

Traditional technology for detecting strip structure is time-consuming with low accuracy and large strip damage.Therefore image processing technology was combined with fractal theory by using the counting box dimension method to measure the fractal dimension of strips,and the fractal characteristics of strip area and Feret’s diameter.The results showed that:1)The T-test(p=0.227>0.05)results for the measurements by IPP image processing software and square standard area indicated that there was no significant difference between the measured values of strip parameters and the real values.2)Using the box counting dimension method to measure the fractal strip dimension,the determination coefficients of the fitting regression equation were all above 0.81 and the P values of the ANOVA results were all less than 0.05.3)Both strip area and Fetet’s diameter extremely positively correlated to the fractal dimension of the strips.The R^2 of fitted equation between the fractal dimension D and lnS and lnφwere 0.994 and 0.960,respectively.In other words,the influencing degrees of strip area and Feret’s diameter on the fractal dimension were different.4)The RMSE and SSE of the established fractal dimension model for the strips were 0.016 and 0.025 with the determination coefficient R^2 of 0.996,the AE and RE of the model were 0.014 and 1.130%respectively,and the model featured good fitting degree and high accuracy.5)The fractal dimensions were 0.664<D≤0.829 for small strips,0.829<D≤1.000 for medium and short strips,1.000<D≤1.201 for medium and long strips,and 1.201<D≤1.615 for large strips.