The spatial filtering of electroencephalogram data is crucial when analyzing the brain activity. Spatial filters increase the signal-to-noise ratio, thus allowing better classification of the analyzed mental states. This study will show the evolution in the selection of the most appropriate spatial filter when subjects are training to control a brain-computer interface. Different filters -the c...

In this study, we focus on the estimation of regression function in single-index model based B-splines using penalization techniques. We adopt a spherical coordinates reparameterization an index vector to deal with identification problem model. To provide spatially adaptive method, two types penalties are applied and function. A special penalty called localized is introduced handle sparsity coo...

Spaces of polynomial splines deened on planar triangulations are very useful tools for tting scattered data in the plane. Recently, 4, 5], using homogeneous polynomials, we have developed analogous spline spaces deened on triangulations on the sphere and on sphere-like surfaces. Using these spaces, it is possible to construct analogs of many of the classical interpolation and tting methods. Her...

Recently, novel application areas in digital geometry processing, such as simulation, dynamics, and medical surgery simulations, have necessitated the representation of not only the surface data but also the interior volume data of a given 3D object. In this paper, we present an efficient framework for the shape approximations of spherical solid objects based on trivariate B-splines. To do this...

This paper deals with solving the global illumination problem using compactly supported overlapping bases. Overlapping bases have not been used for their computational complexities. This paper is a step towards solving illumination ee-ciently using overlapping bases. Cubic B-splines are used as an example to show the eecient solution of global illumination. B-splines have properties that give a...

Spline functions that approximate data given on the sphere are developed in a weighted Sobolev space setting. The exibility of the weights makes possible the choice of the approximating function in a way which emphasizes attributes desirable for the particular application area. Examples show that certain choices of the weight sequences yield known methods. A convergence theorem containing expli...

Introduction: Global-scale datasets, preferably with nearly uniform coverage are important elements of many geophysical studies of the planets and their moons. However, uniformly resolved data are not always available, for example, determination of the gravity field of the Earth’s moon suffers from this problem because the data depend upon line-of-sight tracking of a spacecraft’s radio signal. ...

A new class of spline curves in polar coordinates has been presented in (SS anchez-Reyes, 1992) and independently considered in (de Casteljau, 1994). These are rational trigonometric curves in Cartesian coordinates and can be represented as NURBS. From the relationship existing with the correspondent curves in Cartesian coordinates an alternative way to derive some useful tools for modelling sp...

An analysis of the results of an algorithm for optimal trajectory planning of robot manipulators is described in this paper. The objective function to be minimized is a weighted sum of the integral squared jerk and the execution time. Two possible primitives for building the trajectory are considered: cubic splines or fifth-order B-splines. The proposed technique allows to set constraints on th...