A new distance measure for vectorial rank-order filters based on space filling curves

Description

A non-linear digital filter is presented in this paper: this filter aims at extending the concept of scalar rank-ordering in the case of multichannel images. The filter is based on two steps: (1) a transformation from a p-dimensional steps to a one-dimensional space by means of a space filling curve; (2) a scalar median filtering step. Results which demonstrate the advantages and the good restoration computational performances of the filter are shown.

Abstract

A non-linear digital filter is presented in this paper: this filter aims at extending the concept of scalar rank-ordering in the case of multichannel images. The filter is based on two steps: 1) a transformation from a p-dimensional steps to a one-dimensional space by means of a space filling curve; 2) a scalar median filtering step. Results which demonstrate the advantages and the good restoration computational performances of the filter are shown.

Additional details