title: Multiscale recursive medians, scale-space, and transforms with applications to image processing.
abstract: A cascade of increasing scale, 1-D, recursive median filters produces a sieve, termed an R-sieve, has a number of properties important to image processing. In particular, it (1) Simplifies signals without introducing new extrema or edges, that is, it preserves scale-space. It shares this property with Gaussian filters, but has the advantage of being significantly more robust. (2) The differences between successive stages of the sieve yield a transform, to the granularity domain. Patterns and shapes can be recognized in this domain using idempotent matched sieves and the result transformed back to the spatial domain. The R-sieve is very fast to compute and has a close relationship to 1-D alternating sequential filters with flat structuring elements. They are useful for machine vision applications.
authors.affiliation: Sch. of Inf. Syst., East Anglia Univ., Norwich.
authors.forename: J A
authors.initials: JA
authors.lastname: Bangham
authors.forename: P
authors.initials: P
authors.lastname: Ling
authors.forename: R
authors.initials: R
authors.lastname: Young