Extended permutation (EP) filters are defined and analyzed. In particular, we focus on extended permutation rank selection (EPRS) filters. These filters are constrained to output an order statistic from an extended observation vector. This extended vector includes N observation samples and K statistics that are functions of the observation samples. The rank permutations from selected samples in...

The paper is devoted to the signal-dependent (SD) design of adaptive LMS L-filters with marginal data ordering for color images. The same stem of SD processing of noised grayscale images was applied on noisy color images. Component-wise and multichannel modifications of SD LMS L-filter in R’G’B’ (gamma corrected RGB signals) color space were developed. Both modifications for filtering two-dimen...

This paper sheds new light on minimization of the total variation under the L-norm as data fidelity term (L+TV ) and its link with mathematical morphology. It is well known that morphological filters feature the property of being invariant with respect to any change of contrast. First, we show that minimization of L + TV yields a self-dual and contrast invariant filter. Then, we further constra...

Multivariate median filters have been proposed as generalisations of the well-established median filter for grey-value images to multi-channel images. As multivariate median, most of the recent approaches use the L median, i.e. the minimiser of an objective function that is the sum of distances to all input points. Many properties of univariate median filters generalise to such a filter. Howeve...

in this paper, gaussian and elliptic high pass filters are analyzed for image sharpening qualitatively and quantatively . the filters are implemented in frequency domain using matlab software. experiments are performed to compare the performance of both the filters ,processed images are presented. the results demonstrate that elliptic yields better results.

Filtration of a solution may lower metal concentrations through adsorption of metal species to the filter. Processes such as filter-sterilizing nutrient solution and filtration of field water are sensitive to these sorption artifacts, yet basic data on the affinity of different filters for metals are lacking. This article describes the adsorption of five metals to eight types of 0.2-microm memb...

The center-of-mass system for many bodies in R admits a natural action of the rotation group SO(3). According to the orbit types for the SO(3) action, the center-of-mass system M is stratified into strata. A quantum Hamiltonian system and a classical Lagrangian system are defined on L(M) and on T (M), respectively. These systems are also stratified according to the stratification of M , and the...

In this paper we introduce a new class of filters, the generalized feedforward structures, that combine attractive properties of the moving average (MA) filters for adaptation (i.e. fast algorithms, trivial stability) with some of the power of autoregressive moving average (ARMA) filters (i.e. decoupling of the length of the impulse response with filter order). Preliminary results show that thi...

Abstract Cigarettes are the most littered item in public spaces. Smokers who litter leaving a trace of toxic waste that adds to global plastic pollution due harmful chemicals and semisynthetic microfibres compose cigarette filters. Here we present multidisciplinary study aiming assess i) predictors littering, ii) toxicity filters freshwater invertebrate Chironomus riparius , including iii) pote...