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In this paper a novel method of noise reduction in color images is presented. The class of ÿlters introduced here utilizes fuzzy membership functions deÿned over vectorial inputs connected via digital geodesic paths. The e ciency of the new ÿlters is compared under a variety of performance criteria with the commonly used ÿlters, such as the vector median and the generalized vector directional ÿlter. It is shown that, compared to existing techniques, the ÿlters introduced here are better able to suppress impulsive, Gaussian as well as mixed-type noise. Furthermore, the computational analysis included in this work shows that some members of the new ÿlter family are computationally less demanding than the vector median ÿlter. ?

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