Detail-preserving ranked-order based filters for image processing

摘要

The theoretical analysis of multistage median filters is developed. It is shown that multistage median filters are a combination of max/median and min/median filters. Since multistage median filters belong to the class of two-dimensional stack filters, they have threshold decomposition attributes making their theoretical analysis simple. Statistical threshold decomposition is applied to derive the statistical characteristics of these filters, and the results are used to evaluate the performance of these two types of multistage filters. Finally, a quantitative and qualitative comparison of the multistage filters and of other efficient detail-preserving filters is presented. The comparisons are made using the mean-squared-error and the mean-absolute-error criteria.