结构张量
平滑的
全变差去噪
算法
降噪
图像复原
拉格朗日乘数
数学
计算机科学
人工智能
图像纹理
各项异性扩散
张量(固有定义)
图像(数学)
图像处理
计算机视觉
数学优化
几何学
作者
Caixia Li,Chanjuan Liu,Yilei Wang
标识
DOI:10.1109/incos.2013.132
摘要
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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