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arXiv 2511.12212eess.IVcs.AIcs.CV

用于椒盐噪声去噪的递归阈值中值滤波器与自编码器:图像及熵图的SSIM分析

Recursive Threshold Median Filter and Autoencoder for Salt-and-Pepper Denoising: SSIM analysis of Images and Entropy Maps

Petrozavodsk State University(彼得罗扎沃茨克国立大学)

Petr Boriskov, Kirill Rudkovskii, Andrei Velichko

AI总结:

本文针对图像椒盐噪声去噪问题,结合递归阈值框架下的MF与AE开展研究,验证了SSIMMap的评估价值,提出两种可扩展去噪方案,明确了两类方法的适用场景。

摘要:

本文研究在递归阈值算法框架下,结合中值滤波器(MF)与简单三层自编码器(AE)实现图像椒盐噪声去除的方法。去噪性能通过两项指标评估:一是复原图像与干净图像的标准结构相似性指数SSIMImg,二是新采用的指标SSIMMap——通过滑动窗口中的二维样本熵计算得到的上述图像熵图的结构相似性指数。研究表明,SSIMMap对模糊和局部强度变化更敏感,可对SSIMImg形成有效补充。在低分辨率与高分辨率灰度图像上开展的实验显示,递归阈值MF即使在强噪声(噪声水平50%-60%)场景下也能鲁棒复原图像,而简单AE仅能复原低噪声水平(<30%)的图像。本文提出两种可扩展方案:(i)2MF,采用两个不同窗口尺寸的MF并搭配最终阈值化步骤,可有效突出低分辨率下的锐利局部细节;(ii)MFs-AE,通过AE聚合多个MF提取的特征,更适合在更高分辨率下复原整体场景结构。凭借简洁性与计算效率优势,MF更适合部署在资源受限平台(边缘/物联网)上,而AE在无前置去噪处理时性能表现不佳。研究结果同时验证了SSIMMap在客观模糊评估与去噪参数调优方面的实用价值。

英文摘要:

This paper studies the removal of salt-and-pepper noise from images using median filter (MF) and simple three-layer autoencoder (AE) within recursive threshold algorithm. The performance of denoising is assessed with two metrics: the standard Structural Similarity Index SSIMImg of restored and clean images and a newly applied metric SSIMMap - the SSIM of entropy maps of these images computed via 2D Sample Entropy in sliding windows. We shown that SSIMMap is more sensitive to blur and local intensity transitions and complements SSIMImg. Experiments on low- and high-resolution grayscales images demonstrate that recursive threshold MF robustly restores images even under strong noise (50-60 %), whereas simple AE is only capable of restoring images with low levels of noise (<30 %). We propose two scalable schemes: (i) 2MF, which uses two MFs with different window sizes and a final thresholding step, effective for highlighting sharp local details at low resolution; and (ii) MFs-AE, which aggregates features from multiple MFs via an AE and is beneficial for restoring the overall scene structure at higher resolution. Owing to its simplicity and computational efficiency, MF remains preferable for deployment on resource-constrained platforms (edge/IoT), whereas AE underperforms without prior denoising. The results also validate the practical value of SSIMMap for objective blur assessment and denoising parameter tuning.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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