基于结构张量和全变分的纹理图像去噪算法

Caixia Li, Chanjuan Liu, Yilei Wang
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引用次数: 3

摘要

针对变分偏微分方程图像去噪恢复过程中存在的阶梯效应、边缘模糊和参数选择不确定等问题,提出了一种基于图像结构张量(STTV)的全变分恢复模型。我们引入图像结构张量来构造图像结构控制函数,而不是使用拉格朗日乘法器和局部结构信息来控制扩散过程,这样可以根据不同的局部结构信息来调整电视模型中规则项和保真项的平衡,保持更好的细节特征。理论分析和实验对比表明,STTV模型能够更准确、更精细地描述图像边缘、纹理和平滑区域,克服了其他TV模型带来的阶梯效应和过度平滑效应,在保留图像重要细节和重要特征的同时去噪。峰值信噪比(PSNR)也得到了提高。
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Texture Image Denoising Algorithm Based on Structure Tensor and Total Variation
For the existing problems of staircase effect, edge blur and uncertainty of parameter selection in the process of image denoising and recovery of variational partial differential equations, a novel total variation restoration model based on image structure tensor(STTV) is proposed. We introduce image structure tensor to construct the image structure control function instead of using Lagrange multiplier and local structure information to control Diffusion process, which has the performance of adjusting the balance of regular item and fidelity item in TV model according to different local structure information and keeping better detail features. Theoretical analysis and experiment comparing with other methods illustrate that STTV model is able to describe the image edges, textures and smooth areas more accurately and subtly, which has overcome staircase and over-smoothing effects brought by other TV models and removed the noise while preserving significant image details and important characteristics. the value of peak signal to noise ratio(PSNR) is also improved.
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