Color images are two-dimensional, three-channel stochastic signals.
Their statistical characterization is quite different from that of black
and white images (single-channel, two-dimensional signals). This paper
investigates the extension of the concept of ordering and order statistics
filtering to multichannel and color images. Marginal order statistics is the
most straightforward extension to multichannel filtering. Marginal median
filtering is the same as median filtering each channel independently. However,
its statistical analysis is not a simple extension of the analysis of the
single-channel case. The statistical analysis of marginal order filtering for
color images is provided.