Abstract

A two-dimensional filtering method, based on the construction of systems of approximating sliding local model functions with their subsequent weighted averaging, is proposed. A two-dimensional filtering algorithm based on the summation of approximating sliding piecewise-linear model functions with weight coefficients is developed. Optimization of the parameters of the filtering algorithm is considered. The results of testing the filtering algorithm and calculating its optimal parameters on model muonograms are presented. A comparative estimation of the algorithm’s errors is made. An example of testing the developed method of two-dimensional filtering on an experimental muonogram is presented; the results of the muonogram’s analysis are described.

中文翻译：

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利用局部模型函数系统进行二维图像滤波的二维滤波方法

摘要

提出了一种基于滑动局部模型函数及其后续加权平均的近似系统构造的二维滤波方法。提出了一种基于权重系数的近似分段线性模型函数求和的二维滤波算法。考虑过滤算法参数的优化。给出了测试滤波算法并在模型层析图上计算其最佳参数的结果。对算法错误进行了比较估计。给出了一个在实验性声像图上测试开发的二维滤波方法的示例；描述了声像图的分析结果。