全变分图像去噪和去模糊问题的外插边值条件(英文)

Extrapolation Boundary Conditions for Total Variation-based Image Deblurring and Denoising

提出了适用于去模糊问题的外插边值条件,方法在一维信号下具有一阶连续性,在二维图像情况下具有连续性并保持法向导数的连续性.使用两种模型和两个模糊算子与Dirichlet,Neumann及逆反射边值条件进行了比较.之后在基于全变分图像去噪和去模糊问题的快速算法中应用了外插边值条件.数值实验表明了外插边值条件的有效性.

We propose extrapolation boundary conditions （BCs） for blurring removal. They lead to C^1 continuity for onedimensional signals and C^0 continuity with normal derivative continuity for images. Two models and two kinds of blurring operators are used in the extrapolation BCs with Dirichlet, Neumann and antireflective BCs. We apply extrapolation BCs to fast algorithms for total variation-based image deblurring and denoising, Numerical results illustrate efficiency of the extrapolation BCs.