用偏微分方程作图像分析与处理

Application of Partial Difference Equation in Image Analysis and Processing

从偏微分方程去噪模型出发,论述了噪声抑制的原理,去噪方法与正则化方法和小波萎缩方法之间的联系;并根据这种联系,从正则化模型的角度分析了用偏微分方程进行图像复原以及超分辨等方面的应用。最后展望了发展前景。

The application of partial difference equation （PDE） in image analysis and processing is discussed The PDE models for image denoising, the principle of PDE denoising their reduction approach and development processes are introduce4 The relations of PDE, regularization and wavelet shrinkage are analyzed, the application of PDE in image restoration and image superresolution are introduced a preview of its development is given, and point out that the best way to evolve PDE is combining PDE with wavelet, regularization and basis pursuit to get a new mode]. An example of combining these models is given and good result in signal denoising is obtained.