Abstract—The representation of spatially inhomogeneous images using double stochastic autoregressive models is considered. The possibility of synthesizing semicausal double stochastic image filtering algorithms based on such models is shown. Variants for reducing the computational costs required to implement double stochastic filters using cascades of moving windows are considered. A comparative analysis of the proposed algorithms with well-known counterparts is carried out, confirming the practical possibility of using double stochastic filters for processing real two-dimensional images.

中文翻译：

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空间不均匀图像的双随机过滤

摘要—考虑使用双随机自回归模型表示空间不均匀的图像。显示了基于此类模型合成半因果双随机图像滤波算法的可能性。考虑了用于减少使用级联的移动窗口来实现双随机滤波器所需的计算成本的变型。对所提出的算法与知名算法进行了比较分析，确认了使用双随机滤波器处理实际二维图像的实际可能性。