Timely-Automatic Procedure for Estimating the Endocardial Limits of the Left Ventricle Assessed Echocardiographically in Clinical Practice.

In this paper, we propose an analytical rapid method to estimate the endocardial borders of the left ventricular walls on echocardiographic images for prospective clinical integration. The procedure was created as a diagnostic support tool for the clinician and it is based on the use of the anisotropic generalized Hough transform. Its application is guided by a Gabor-like filtering for the approximate delimitation of the region of interest without the need for computing further anatomical characteristics.

On Homotopy Continuation for Speech Restoration.

In this paper, a homotopy-based method is employed for the recovery of speech recordings from missing or corrupted samples taken in a noisy environment. The model for the acquisition device is a compressed sensing scenario using Gabor frames. To recover an approximation of the speech file, we used the basis pursuit denoising method with the homotopy continuation algorithm.

Constructive realizable multiresolution wavelet-like systems based on multi-windows spline-type spaces.

In this paper, we present a constructive realizable procedure for obtaining a multiresolution wavelet-like system in the framework of stability for spline-type spaces, considering only the generators that prominently intersect the spectrum of the signal to be approximated and stable under deformations through frequency shifts. The realizable system constructed in this way, can analyse jointly three different features of a signal namely time, scale and frequency. We present numerical tests and a detailed complexity analysis to compare the performances of our method against standard constructions.

A parallel Homological Spanning Forest framework for 2D topological image analysis.

In [14], a topologically consistent framework to support parallel topological analysis and recognition for 2 digital objects was introduced. Based on this theoretical work, we focus on the problem of finding efficient algorithmic solutions for topological interrogation of a 2 digital object of interest of a presegmented digital image , using 4-adjacency between pixels of . In order to maximize the degree of parallelization of the topological processes, we use as many elementary unit processing as pixels the image has.

Approximate Duals of Gabor-like Frames Based on Realizable Multi-Window Spline-Type Constructions.

In the multi-window spline-type spaces, the fast computation of the realizable dual frame could be achieved through a constructive reformulation of the biorthogonal relations. In this paper, we extend the results obtained in spline-type spaces, for the constructive realization of an approximate dual Gabor-like frame. We demonstrate the advantages of this approach in both flexibility and speed.