The LULU operators for sequences, that is Ln, Un and their compositions, are extended to
multidimensional arrays in a way which preserves their essential properties, eg, consistent …

The discrete pulse transform (DPT) is a decomposition of an observed signal into a sum of
pulses, ie, signals that are constant on a connected set and zero elsewhere. Originally …

The smoothing of time series plays a very important role in various practical applications.
Estimating the signal and removing the noise is the main goal of smoothing. Traditionally …

Abstract The Discrete Pulse Transform (DPT) of images is defined by using a new class of
LULU operators on multidimensional arrays. This transform generalizes the DPT of …

During the last three decades, the LULU operator and its close relative, the Discrete Pulse
Transform (DPT), were developed and applied to signal processing problems. Its recent …

Flat morphology is a general method for obtaining increasing operators on grey-level or
multivalued images from increasing operators on binary images (or sets). It relies on …

This paper is motivated by a problem in morphological image processing: how to construct a
flat operator on grey-level images (numerical functions) from a non-increasing operator on …

Many nonlinear filters used in practise are stack filters. An algorithm is presented which
calculates the output distribution of an arbitrary stack filter S from the disjunctive normal form …

The LULU operators, L n and U n, are smoothers, that is they smooth data received as a
signal. They are nonlinear and this nonlinearity makes them more robust but also more …

The LULU operators, well known in the nonlinear multiresolution analysis of sequences, are
extended to functions defined on a continuous domain, namely, a real interval. We show that …