An analysis is given of the specific points of the noise power gain of the p-lag median hybrid FIR filters in applications to ultrasound image processing. An important feature of such a gain is that, at some cross points, it converges to the reduced degree one. The effect of smoothing is evaluated in terms of the signal-to-noise ratio and root mean square error metrics. We show that image enhan...

It is known that many image enhancement methods have a tradeoff between noise suppression and edge enhancement. In this paper, we propose a new technique for image enhancement filtering and explain it in human visual perception theory. It combines kernel regression and local homogeneity and evaluates the restoration performance of smoothing method. First, image is filtered in kernel regression....

We consider an efficient approximation of Bühlmann & Yu’s L2Boosting algorithm with component-wise smoothing splines. Smoothing spline base-learners are replaced by P-spline base-learners which yield similar prediction errors but are more advantageous from a computational point of view. In particular, we give a detailed analysis on the effect of various P-spline hyper-parameters on the boosting...

An annoying musical residual noise is suffered in most speech enhancement systems. This paper applies a perceptual-based speech enhancement algorithm that considers masking properties to enhance speech signals corrupted by colored noise. Moreover, an optimal smoothing factor which is adapted by the variation of signal to spectral deviation ratio (SSDR) in successive frames is used to reduce the...

Improved data reduction techniques for 3D data cubes obtained from Fabry-Perot integral field spectroscopy are presented. They provide accurate sky emission subtraction and adaptive spatial binning and smoothing. They help avoiding the effect analogous to the beam smearing, seen in HI radio data, when strong smoothing is applied to 3D data in order to get the most extended signal coverage. The ...

where α is a real constant with 2α/3 ̸∈ Z and T > 0. In (1), all the parameters are normalized except for α. Equation (1) appears as a mathematical model for nonlinear pulse propagation phenomena in various fields of physics, especially in nonlinear optics (see [54], [27] and [1]). So far, equation (1) without the third order derivative, that is, the cubic NLS equation has attracted much mathema...

In this paper a recursive control theoretic smoothing spline approach is proposed for reconstructing a closed contour. Periodic splines are generated through minimizing a cost function subject to constraints imposed by a linear control system. The optimal control problem is shown to be proper and sufficient optimality conditions are derived for a special case of the problem using Hamilton-Jacob...

Introduction: Functional Connectivity MRI (fcMRI) has become a useful tool for delineating brain networks that show functional connectivity based on resting-state correlations [1,2]. The improved sensitivity and resolution of functional MRI from advances in array coils and higher field strength allows resting state networks to be probed at higher spatial resolution, providing a tradeoff between...