二值图像恢复的一个非线性正则化方法(英文)  

Nonlinear Regularization for Bi-level Image Restoration

作　　者：张建军[1] 王芹[1] 

机构地区：[1]上海大学数学系,上海200444

出　　处：《应用科学学报》2009年第1期74-78,共5页Journal of Applied Sciences

基　　金：supported by the National Natural Science Foundation of China(No.10871225)

摘　　要：二值图像恢复往往按灰度图像恢复和阈值分割两步来处理,效果不佳。该文利用二值图像的特有性质,提出一种二值图像恢复的非线性正则化方法。同Tikhonov正则化方法不同,该文提出的方法最终归结为一个非线性最优化问题,并采用全局Barzilai和Borwein梯度算法求解此优化问题。实验结果表明,该文的二值图像恢复算法是可行的、有效的。Restoration of bi-level images is generally performed in two steps, i.e., restoration and thresholding segmentation, which generally does not produce ideal results. This paper proposes a nonlinear regularization method for bi-level image restoration by explicitly using the knowledge of the bi-level image. Unlike the Tikhonov regularization method which eventually results in a linear system of equations, the proposed method leads to a nonlinear optimiza： tion problem, solved with the global Barzilai and Borwein gradient method. Simulation results show feasibility and effectiveness of the method.

关 键 词：图像恢复 正则化 退化 噪声 

分 类 号：TN911.73[电子电信—通信与信息系统]