An FPCA-Based Color Morphological Filter for Noise Removal.

Morphological ltering is a useful technique for the processing and analysis of binary and gray scale images. the extension of morphological techniques to color images is not a straightforward task because this extension stems from the multivariate ordering problem. since multivariate ordering is ambiguous, existing approaches have used known vector ordering schemes for the color ordering purpose. in the last decade, many di erent color morphological operators have been introduced in the literature. some of them have focused on noise suppression purposes. however, none has shown good performance, especially on edgy regions. in this paper, new color morphological operators, based on a fuzzy principle component analysis, are proposed for noise removal. these operators employ statistical information (obtained by applying a fuzzy clustering algorithm on the color space) to achieve the desired results for the denoising application. the performance of the proposed operators is compared with recent morphological operators, reported in the literature, for denoising purposes and the superiority of the proposed method is shown.