基于多重分形的复合绝缘子憎水性等级判定方法

Classification Method of Hydrophobicity of Composite Insulators Based on Multifractal Theory

针对单重分形只能从单一测度对憎水性图像进行分形特征度量,不能全面度量其特征值的情况,提出了基于多重分形对憎水性图像分类判断的机理,从多个测度对其度量,以广义维数序列代替单一测度下的分形维数值或区域对复合绝缘子的憎水性等级进行精确判断,且构建了标准憎水性图像样本的Dq-q曲线,根据该曲线对未知憎水性等级的图像进行憎水性等级判断。结果表明:该分析方法能较好识别出测试样本的憎水性等级,弥补了使用单重分形分析方法时相邻等级间无法划分的缺陷,达到了各个憎水性等级逐级细分的目的。

In view of that the single fractal dimension could only measure the fractal characteristics of hydrophobic image from single aspect instead of overall aspects, a judgment mechanism for hydrophobic image classification based on multifractal was proposed to measure the hydrophobic image from different aspects. The fractal dimension value or region under generalized dimension series was used to judge the hydrophobicity grades of composite insulators precisely. The Dq-q curve of the criterion hydrophobic image sample was constructed, and the unknown hydrophobicity grades can be identified by the curve. The test results show that this method can better identify the hydrophobicity grade of the test samples, which remedy the defects of classification in the single fractal dimension method for adjacent grades, and reach the aim of classifying the each level of hydrophobicity.