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arXiv 2609.25266eess.IV

基于递归中值滤波的椒盐噪声去除的熵图SSIM分析

Entropy-map SSIM analysis of Salt and Pepper Noise Removal via Recursive Median Filterring

Petr Boriskov, Andrei Velichko

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中文总结 AI 辅助

本研究提出SSIM-Map熵图指标,用于评估递归中值滤波去除椒盐噪声的效果,该指标对残留伪影更敏感,补充了传统SSIM-Img。

中文摘要 AI 辅助

本文研究了在递归阈值算法中使用中值滤波器(MF)去除灰度图像中的椒盐(SP)噪声。去噪性能使用两个互补的指标进行评估:SSIM-Img和SSIM-Map。SSIM-Img是标准的图像质量评估(IQA),即在恢复图像与干净图像之间计算传统的结构相似性指数(SSIM)。SSIM-Map是一种新颖的IQA,基于SSIM的评估,在图像的熵图之间计算,其中熵图通过滑动窗口中的奇异值分解熵获得。我们表明,SSIM-Map对残留脉冲伪影、模糊和局部强度过渡更为敏感,因此补充了传统的SSIM-Img指标。

英文摘要

This paper studies the removal of salt-and-pepper (SP) noise from grayscale images using a median filter (MF) within a recursive thresholding algorithm. Denoising performance is assessed using two complementary metrics: SSIM-Img and SSIM-Map.SSIM-Img is standard Image Quality Assessment (IQA), the conventional Structural Similarity Index (SSIM) computed between the restored and clean images. SSIM-Map is novel IQA, an SSIM-based evaluation computed between entropy maps of these images, where the maps are obtained using singular value-decomposition entropy in sliding windows. We show that SSIM-Map is more sensitive to residual impulse artifacts, blur, and local intensity transitions, and therefore complements the conventional SSIM-Img metric.

发表机构

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

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