The WMMR filters: a class of robust edge enhancers

The authors develop a class of filters called weighted majority of m values with minimum range (WMMR^m) that have the same impulse rejection properties as the median. They demonstrate a subclass of these filters (WMMR) that may be optimized for edge enhancement in one dimension in that their output converges to the closest perfect edge. One of these filters is shown to restore a class of noisy edges to the closest perfect edge on one pass. Applications in one and two dimensions are discussed and a two-dimensional simulation is provided comparing the WMMR to other filters for smoothing and edge enhancement