@article {Rohwer:1 June 2002:1607-3606:135, author = "Rohwer, C.H.", author = "Wild, M.", title = "Natural Alternatives For One Dimensional Median Filtering", journal = "Quaestiones Mathematicae", volume = "25", year = "1 June 2002", abstract = "For practical purposes median smoothers have often been considered the basic components for the construction of simple non-linear smoothers for removing impulsive noise before any subsequent linear signal extraction from a sequence. Alternatives exist that are computationally convenient, conceptually simpler and provide significant insight into the removal of impulsive noise of chosen briefness. Deriving these, so called LU LU-operators, from the simplest rank selectors provides a simpler proof structure that provides significant additional insight for analysis and comparison of similar smoothers. From an algebraic point of view, an interesting finite, partially ordered, idempotent semigroup arises.", pages = "135-162(28)", url = "http://www.ingentaconnect.com/content/nisc/qm/2002/00000025/00000002/art00001" }