Another generalisation of vector filters

R. Lukac1
1Department of Electronics and Multimedia Communications, Technical University of Košice, Kosice, Slovakia

Tóm tắt

A new generalisation of vector filters utilising the ordering of vector samples is provided. According to a distance function based on vector distances and vector angles, it is possible to differentiate vector median filters (VMFs), vector directional filters (VDFs) and finally directional distance filters (DDFs) that combine both distance and angles of vector samples in the vector space. For that reason, a class of DDFs represents a generalised class of vector filters. However, it will be shown that by introducing the weight vector to a DDF structure, all the above-mentioned filters, including their weighted structures, can be expressed as special cases of the proposed new class of weighted directional distance filters (WDDFs). Besides the theoretical acquisition, the proposed WDDFs provide a high design flexibility and these filters can be designed to achieve a significant improvement of the filter performance in comparison with standard vector filter classes.

Từ khóa

#Filters #Color #Colored noise #Image processing #Multimedia communication #Electronic mail #Filtering algorithms #Estimation error #Noise robustness #Brightness

Tài liệu tham khảo

10.1007/978-3-662-04186-4 10.1109/83.597268 10.1109/83.388080 10.1109/83.242362 lukáä, 2001, Vector LUM Smoothers as Impulse Detector for Color Images, Proc ECCTD 01, 3, 137 10.1109/83.597278 luka?, 2002, Adaptive Impulse Noise Filtering by Using Center-Weighted Directional Information, Proc CGI 2002 lukáä, 0, Weighted Vector Directional Filters, IEEE Signal Processing Letters Submitted 10.1109/76.97987 lukáä, 2001, Adaptive Vector LUM Smoother, Proc ICIP 2001, 1, 878 gabbouj, 1996, Vector Median-Vector Directional Hybrid Filter for Color Image Restoration, Proceedings of EUSIPCO-96, 879 10.1109/5.54807 10.1109/82.728854