A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2007; you can also visit the original URL.
The file type is
A characterization of the roots of the 3x3 median filter is given. We define the properties of local smoothness and of local roughness for the roots of the 3x3 median filter. Roots that are locally rough everywhere are binary and periodic; otherwise, unlike the 1D case, a root may be non binary or non periodic. This partially generalizes to dimension 2 the results of Brandt  and Tyan ; in particular, everywhere local smoothness may be interpreted as local monotonicity in dimension 2. Wedoi:10.1109/icassp.2006.1660748 dblp:conf/icassp/CordobaR06 fatcat:vm66l65m65efljrogxdpsc362i