基于形态学和高斯滤波器的混合Rk滤波器

Hybrid Rk filter based on Gaussian and morphological filter

提出了一种基于形态学和高斯滤波器的混合Rk滤波器 .滤波过程仍然采用两步法 .与传统方法的不同之处在于第一步 .主轮廓分别采用形态学闭滤波器和高斯低通滤波器进行滤波 ,将得到的顶包络线向高斯中线移动两者的均值之差距离 ,然后将高斯中线处于形态学顶包络线之下的部分用形态学顶包络线的对应部分代替 ,得到最终的修正中线 .该滤波器可更为有效地抑制深谷的影响 ,具有算法简单 ,易于实现的优点 .

A new hybrid Rk filter based on morphological and Gauss filter is introduced. The filtering process is still divided into 2 steps. Compared with the traditional methods, the difference was how to get the mean line in the first step. The primary profile was filtered by a low pass Gaussian filter and a close morphological filter separately. The upper envelope line was reduced by the difference of the 2 lines' mean value. The final mean line was obtained by replacing the part in the Gaussian mean line with the corresponding one of the reduced envelope line where the Gaussian mean line lies below the depressed envelope line. Compared with the traditional Rk filters, this hybrid filter has the advantage of depressing deep valley more robustly. The algorithm is simple and easy to implement compared with the robust Rk filter.