Nonlinear inverse filter using ε-filter and its application to image restoration

作     者：Watabe, H Arakawa, K Arakawa, Y 

作者机构：Univ Tokyo Adv Sci & Technol Res Ctr Tokyo 1068558 Japan Meiji Univ Dept Comp Sci Kawasaki Kanagawa 2148571 Japan 

出 版 物：《IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES》 (电子信息通信学会汇刊：电子学、通信及计算机科学基础)

年 卷 期：2000年第E83A卷第2期

页      面：283-290页

核心收录：

学科分类：0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：nonlinear inverse filter epsilon-filter back propagation algorithm image restoration 

摘      要：A nonlinear inverse filter is proposed for restoring signals degraded by a linear system and additive Gaussian noise. The proposed filter consists of combination of a linear high pass filter and an epsilon-filter, which is modified from the cascaded linear filter. The nonlinear property of the epsilon-filter is utilized to suppress pre-enhanced additive random noise and to restore sharp edges. It is demonstrated that the filter can be reduced to a multi-layered neural network model, and the optimal design is described by using the back propagation algorithm. The nonlinear function is approximated by a piecewise linear function, which results in simple and robust training algorithm. An application to image restoration is also presented, illustrating the effectiveness over the linear filter, especially when the amplitude of additive noise is small.