Bayesian color image denoising via a joint model and space projection

Su Xiao
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Abstract

As a stochastic method, the Bayesian estimation demonstrates some advantages on image denoising, such as with image noises treated as random signals. In this paper, we propose a two-stage Bayesian framework for color image denoising, utilizing the joint prior and Gamma distributions, to model the unknowns. All unknowns are estimated and updated simultaneously using evidence analysis within the Bayesian framework. We also propose an optimal luminance/color-difference space projection for the two-stage Bayesian framework, exploiting strong correlation in high-frequency contents of different color components to improve denoising performance. Experimental results confirm that the proposed algorithm offers superior denoising performance compared with existing solutions, both from peak signal-to-noise ratio and visual quality perspectives. By comparing experimentally the performances of the proposed algorithm in different color spaces, we have proven the effectiveness of space projection in improving the image denoising.
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基于联合模型和空间投影的贝叶斯彩色图像去噪
作为一种随机方法,贝叶斯估计在图像去噪方面显示出一些优势,例如将图像噪声作为随机信号处理。在本文中,我们提出了一种用于彩色图像去噪的两阶段贝叶斯框架,利用联合先验和伽玛分布对未知数进行建模。在贝叶斯框架内使用证据分析同时估计和更新所有未知数。我们还提出了两阶段贝叶斯框架的最优亮度/色差空间投影,利用不同颜色成分高频内容的强相关性来提高去噪性能。实验结果表明,无论从峰值信噪比还是视觉质量的角度,本文算法都比现有算法具有更好的去噪性能。通过实验比较了该算法在不同色彩空间下的性能,证明了空间投影在改善图像去噪方面的有效性。
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