Noise-enhanced nonlinear PDE for edge restoration in scalar images

机译：标量图像中边缘恢复的噪声增强非线性PDE

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The report proposed an interpretation for the mechanism of noise-enhanced image restoration with nonlinear PDE (Partial Differential Equation) recently demonstrated in literature. A link is established between the action of noise in a nonlinear Perona-Malik anisotropic diffusion and stochastic resonance in memoryless nonlinear systems for 1-D signals.

机译：该报告提出了对文献中最近证明的非线性PDE（部分微分方程）的噪声增强图像恢复机制的解释。在1-D信号中的非线性尿关型 - 马里克各向异性扩散和随机共振之间的噪声作用之间建立了一个链接。

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《International Conference of Soft Computing and Pattern Recognition》|2010年||共4页
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中图分类 TP301-53;
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anisotropic diffusion; image restoration; nonlinear image processing; stochastic resonance;

机译：各向异性扩散;图像恢复;非线性图像处理;随机共振;

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1. Restoration of Poisson noise corrupted digital images with nonlinear PDE based filters along with the choice of regularization parameter estimation [J] . Rajeev Srivastava, Subodh Srivastava Pattern recognition letters . 2013,第10期

机译：使用基于非线性PDE的滤波器恢复泊松噪声损坏的数字图像，以及选择正则化参数估计
2. NONLINEAR PDE MODEL FOR IMAGE RESTORATION USING SECOND-ORDER HYPERBOLIC EQUATIONS [J] . Barbu Tudor Numerical Functional Analysis and Optimization . 2015,第10a12期

机译：基于二阶双曲方程的图像复原非线性PDE模型
3. An Edge Preservation Index for Evaluating Nonlinear Spatial Restoration in MR Images [J] . Joseph Justin, Jayaraman Sivaraman, Periyasamy Rajadurai, Current medical imaging reviews. . 2017,第1期

机译：用于评估MR图像中非线性空间恢复的边缘保存索引
4. Noise-enhanced nonlinear PDE for edge restoration in scalar images [C] . Proceedings of the 2010 International Conference of Soft Computing and Pattern Recognition . 2010

机译：用于标量图像边缘恢复的增强噪声的非线性PDE
5. Nonlinear evolutionary PDEs in image processing and computer vision. [D] . Liu, Kexue. 2004

机译：图像处理和计算机视觉中的非线性进化PDE。
6. Nonlinear restoration of pulse and high noisy images via stochastic resonance [O] . Qibing Sun, Hongjun Liu, Nan Huang, -1

机译：通过随机共振非线性恢复脉冲和高噪声图像
7. Noise-enhanced nonlinear PDE for edge restoration in scalar images [O] . A. Histace, D. Rousseau 2010

机译：用于标量图像边缘恢复的噪声增强非线性pDE

Noise-enhanced nonlinear PDE for edge restoration in scalar images

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