6,523 research outputs found
A new approach to texture coding using stochastic vector quantization
A new method for texture coding which combines 2-D linear prediction and stochastic vector quantization is presented in this paper. To encode a texture, a linear predictor is computed first. Next, a codebook following the prediction error model is generated and the prediction error is encoded with VQ, using an algorithm which takes into account the pixels surrounding the block being encoded. In the decoder, the error image is decoded first and then filtered as a whole, using the prediction filter. Hence, correlation between pixels is not lost from one block to another and a good reproduction quality can be achieved.Peer ReviewedPostprint (published version
Force traction microscopy: An inverse problem with pointwise observations
Force Traction Microscopy is an inversion method that allows to obtain the stress field applied by a living cell on the environment on the basis of a pointwise knowledge of the displacement produced by the cell itself. This classical biophysical problem, usually addressed in terms of Green functions, can be alternatively tackled using a variational framework and then a finite elements discretization. In such a case, a variation of the error functional under suitable regularization is operated in view of its minimization. This setting naturally suggests the introduction of a new equation, based on the adjoint operator of the elasticity problem. In this paper we illustrate the rigorous theory of the two-dimensional and three dimensional problem, involving in the former case a distributed control and in the latter case a surface control. The pointwise observations require to exploit the theory of elasticity extended to forcing terms that are Borel measure
A review on sparse solutions in optimal control of partial differential equations
In this paper a review of the results on sparse controls for partial differential equations is presented. There are two different approaches to the sparsity study of control problems. One approach consists of taking functions to control the system, putting in the cost functional a convenient term that promotes the sparsity of the optimal control. A second approach deals with controls that are Borel measures and the norm of the measure is involved in the cost functional. The use of measures as controls allows to obtain optimal controls supported on a zero Lebesgue measure set, which is very interesting for practical implementation. If the state equation is linear, then we can carry out a complete analysis of the control problem with measures. However, if the equation is nonlinear the use of measures to control the system is still an open problem, in general, and the use of functions to control the system seems to be more appropriate.This work was partially supported by the Spanish Ministerio de Economía y Competitividad under project MTM2014-57531-P
A new dissipation term for finite-difference simulations in Relativity
We present a new numerical dissipation algorithm, which can be efficiently
used in combination with centered finite-difference methods. We start from a
formulation of centered finite-volume methods for Numerical Relativity, in
which third-order space accuracy can be obtained by employing just
piecewise-linear reconstruction. We obtain a simplified version of the
algorithm, which can be viewed as a centered finite-difference method plus some
'adaptive dissipation'. The performance of this algorithm is confirmed by
numerical results obtained from 3D black hole simulations.Comment: Talk presented at the Spanish Relativity Meeting (Tenerife 2007
El cuerpo, hipermodernidad y medicina
El cuerpo es uno de los grandes ausentes de la filosofía médica en México; el cuerpo se instala en un todo y su interpretación es pobre. en Medicina, el análisis del cuerpo transita
entre la salud y la enfermedad, aquí se realiza una reflexión en torno al cuerpo, la
hipermodernidad y la medicina
Implications of finite one-loop corrections for seesaw neutrino masses
In the standard seesaw model, finite corrections to the neutrino mass matrix
arise from one-loop self-energy diagrams mediated by a heavy neutrino. We
discuss the impact that these corrections may have on the different low-energy
neutrino observables paying special attention to their dependence with the
seesaw model parameters. It is shown that sizable deviations from the
tri-bimaximal mixing pattern can be obtained when these corrections are taken
into account.Comment: 4 pages, 3 figures. Prepared for the proceedings of the 12th
International Conference on Topics in Astroparticle and Underground Physics
(TAUP 2011), Munich, Germany, 5-9 September 201
Proton Stopping Power of Different Density Profile Plasmas
In this work, the stopping power of a partially ionized plasma is analyzed by
means of free electron stopping and bound electron stopping. For the first one,
the RPA dielectric function is used, and for the latter one, an interpolation
of high and low projectile velocity formulas is used. The dynamical energy loss
of an ion beam inside a plasma is estimated by using an iterative scheme of
calculation. The Abel inversion is also applied when we have a plasma with
radial symmetry. Finally, we compare our methods with two kind of plasmas. In
the first one, we estimate the energy loss in a plasma created by a laser
prepulse, whose density is approximated by a piecewise function. For the latter
one, a radial electron density is supposed and the stopping is obtained as
function of radius from the calculated lateral points. In both cases, the
dependence with the density profile is observed.Comment: 5 pages, 7 figure
The Minimally Tuned Minimal Supersymmetric Standard Model
The regions in the Minimal Supersymmetric Standard Model with the minimal
amount of fine-tuning of electroweak symmetry breaking are presented for
general messenger scale. No a priori relations among the soft supersymmetry
breaking parameters are assumed and fine-tuning is minimized with respect to
all the important parameters which affect electroweak symmetry breaking. The
superpartner spectra in the minimally tuned region of parameter space are quite
distinctive with large stop mixing at the low scale and negative squark soft
masses at the high scale. The minimal amount of tuning increases enormously for
a Higgs mass beyond roughly 120 GeV.Comment: 38 pages, including 2 appendices, 8 figure
Improved approximation rates for a parabolic control problem with an objective promoting directional sparsity
We discretize a directionally sparse parabolic control problem governed by a linear equation by means of control approximations that are piecewise constant in time and continuous piecewise linear in space. By discretizing the objective functional with the help of appropriate numerical quadrature formulas, we are able to show that the discrete optimal solution exhibits a directional sparse pattern alike the one enjoyed by the continuous solution. Error estimates are obtained and a comparison with the cases of having piecewise approximations of the control or a semilinear state equation are discussed. Numerical experiments that illustrate the theoretical results are included.The first two authors were partially supported by the Spanish Ministerio de Economía y Competitividad under projects MTM2014-57531-P and MTM2017-83185-P
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