Within the last two decades a small group of researchers has built a useful, nontrivial theory
of nonlinear signal processing around the median-related filters known as rank-order filters …

Fundamentals of Nonlinear Digital Filtering is the first book of its kind, presenting and
evaluating current methods and applications in nonlinear digital filtering. Written for …

The theoretical analysis of multistage median filters is developed. It is shown that multistage
median filters are a combination of max/median and min/median filters. Since multistage …

A new class of rank-order-based filters, called lower-upper-middle (LUM) filters, is
introduced. The output of these filters is determined by comparing a lower-and an upper …

Two approaches have been used in the past to design rank-order based nonlinear filters for
enhancing or restoring images: the structural approach and the estimation approach. The …

The perception of color is of paramount importance since human observers routinely use
color information to sense the environment, recognize semantic objects of interest, and …

The entropy of a sequence of random variables under order restrictions is examined. A
theorem that shows the amount of entropy reduction when the sequence is ordered is …

Edge-enhancing operators using a modification of the Laplacian called the order statistic
(OS) Laplacian are considered. The edge-enhancing operators are evaluated for their …

This correspondence examines the use of nonlinear edge enhancers as prefilters for edge
detectors. The filters are able to convert smooth edges to step edges and suppress noise …

Die Bildbearbeitung ist jene Teildisziplin der digitalen Bildverarbeitung, welche
Abbildungen von Bildern auf Bilder zum Gegenstand hat. Diese Abbildungen können zum …