Las señales electroencefalográficas (EEG) necesitan ser tratadas y procesadas debido a que contienen diferentes tipos de distorsiones. Generalmente, se suelen emplear softwares especializados para tal propósito. En el presente trabajo describe una nueva interfaz gráfica usuario, FIMALOF (Filtrado, Mapeo Localización Fuentes), consiste en un conjunto programas realizan tareas específicas tratamiento cerebrales, incluyendo filtros digitales. También incluye técnicas descomposición señales,...

The Cauchy problem for the Laplace equation in an annular bounded region consists of finding a harmonic function from Dirichlet and Neumann data known on exterior boundary. This work considers fractional boundary condition instead circular region. We found solution to using harmonics. Then, Tikhonov regularization is used handle numerical instability problem. parameter was chosen L-curve method. From tests, we that series expansion can be truncated N=20, N=25, or N=30. Thus, stable method...

In this paper, we give a solution to the irradiance transport equation (ITE) using two-dimensional (2D) Legendre polynomials (LPs) and an interpolator (i-LP) based on LP. first place, analyze experimental data; subsequently, proceed fit most probable 2D LPs' surface data in order obtain wavefront (W(x,y) of elements under test) as ITE differential associated with boundary problem; finally, interpolate resulting fitting. The interpolation is built from LP increase resolution sharpness data....

We tested different optical elements placed in three positions by applying the irradiance transport equation (ITE), obtaining wavefront $[ W(x,y) ]$[W(x,y)] and aberration surface [$ \textit{AS}(r,\theta ) $AS(r,θ)]. The existing noise captures $ I $I as well W $W AS $AS were analyzed several filters: first a filter based on Legendre polynomials (LP), generating most probable points increasing data resolution; second, 50 deg 2D-LP was used multilineal fit (multiple linear regression); third,...

In this work, we propose a solution to the problem of identification sources in brain from measurements electrical potential, recorded on scalp EEG (electroencephalogram), where boundary problems are used model skull, region, and scalp, solving inverse measurements, so-called Electroencephalographic Inverse Problem (EIP), which is ill-posed Hadamard sense since has numerical instability. We focus volumetric dipolar by constructing modeling simplification reduce multilayer conductive medium...

In this work, the Finite Element Method is used for finding numerical solution of an elliptic problem with Henstock–Kurzweil integrable functions. particular, high oscillatory functions were considered. The weak formulation leads to integrals that are calculated using some special quadratures. Definitions and theorems guarantee existence appear in formulation. This allowed us apply above type slope bounded variation Numerical examples developed illustrate ideas presented article.

We introduce a technique for obtaining three-dimensional (3D) profiles of objects captured in two-dimensional (2D) flat images (FI). This performs numerical approximation the object’s topography from their image gray tones, analyzing topological concepts such as algebraic bases construction, metric functions terms bases, well modeling and development an isomorphism to project masks (fringe patterns) FI, allowing us use optimal 3D profilometry techniques. Among these techniques, phase...

This paper presents a stable method for the identification of sources located on separation interface two homogeneous media (where one them is contained by other one), from measurement yielded those exterior boundary media. an ill-posed problem because numerical instability presented, i.e., minimal errors in can result significant changes solution. To obtain proposed categorized into three subproblems, which present and regularization methods must be applied to their solution form. manage...

Objective: This work presents an implementation of a stable algorithm that recovers sources located at the boundary separating two homogeneous media in field-programmable gate arrays. Two loop unrolling architectures were developed and analyzed for this purpose. inverse source problem is ill-posed due to numerical instability, i.e., small errors measurement can produce significant changes location. Methodology: To handle instability when recovering these sources, Tikhonov regularization...

This paper proposes a methodology for selecting and analyzing electroencephalographic (EEG) signals to compare patients with neurological changes due SARS-CoV-2 infection healthy individuals. The processing approach involves multiple steps, including windowing, filtering, frequency analysis, all applied the EEG data. These methods ensure clear distinction between affected brain activity. After processing, key statistical parameters are extracted, averaged, visualized highlight differences...

The creation of digital replicas physical objects has valuable applications for the preservation and dissemination tangible cultural heritage. However, existing methods are often slow, expensive, require expert knowledge. We propose a pipeline to generate 3D replica scene using only RGB images (e.g. photos museum) then extract model each item interest pieces in exhibit). do this by leveraging advancements novel view synthesis Gaussian Splatting, modified enable efficient segmentation. This...

We present a new technique, to our knowledge, obtain the wavefront. propose modify irradiance transport equation (ITE) by using fringe patterns of spatial light modulators (SLMs) and super-Gaussian Ronchi rulings (SG-RRs) create Poissonian (PITE) solve wavefront finite element method (FEM). use liquid crystal modulator (LCSLM) build periodic patterns, which permits simplification into look-a-like Poisson’s under experimental conditions. First, we model different flat/parallel based on (SG)...

Several areas, such as physical and health sciences, require the use of matrices fundamental tools for solving various problems. Matrices are used in real-life contexts, control, automation, optimization, wherein results expected to improve with increase computational precision. However, special attention should be paid ill-conditioned matrices, which can produce unstable systems; an inadequate handling precision might worsen since solution found data errors too far from one without besides...

In this work, we present a stable algorithm for the inverse problem of identifying cortical sources from electroencephalographic measurements on scalp. This is ill-posed due to numerical instability it presents, i.e., small changes in can produce large variations location sources. A boundary value used find correlations between and measurements. case which head modeled using two concentric spheres. We use spherical harmonics solution source problem. To handle problem, Tikhonov regularization...