Dynamic Image Precompensation for Improving Visual Performance of Computer Users with Ocular Aberrations

With the progress of computer technology, computers are expected to be more intelligent in the interaction with humans, presenting information according to the user's psychological and physiological characteristics. However, computer users with visual problems may encounter difficulties on the perception of icons, menus, and other graphical information displayed on the screen, limiting the efficiency of their interaction with computers. In this dissertation, a personalized and dynamic image precompensation method was developed to improve the visual performance of the computer users with ocular aberrations. The precompensation was applied on the graphical targets before presenting them on the screen, aiming to counteract the visual blurring caused by the ocular aberration of the user's eye. A complete and systematic modeling approach to describe the retinal image formation of the computer user was presented, taking advantage of modeling tools, such as Zernike polynomials, wavefront aberration, Point Spread Function and Modulation Transfer Function. The ocular aberration of the computer user was originally measured by a wavefront aberrometer, as a reference for the precompensation model. The dynamic precompensation was generated based on the resized aberration, with the real-time pupil diameter monitored. The potential visual benefit of the dynamic precompensation method was explored through software simulation, with the aberration data from a real human subject. An "artificial eye'' experiment was conducted by simulating the human eye with a high-definition camera, providing objective evaluation to the image quality after precompensation. In addition, an empirical evaluation with 20 human participants was also designed and implemented, involving image recognition tests performed under a more realistic viewing environment of computer use. The statistical analysis results of the empirical experiment confirmed the effectiveness of the dynamic precompensation method, by showing significant improvement on the recognition accuracy. The merit and necessity of the dynamic precompensation were also substantiated by comparing it with the static precompensation. The visual benefit of the dynamic precompensation was further confirmed by the subjective assessments collected from the evaluation participants.

L’empreinte d’une expérience performative en littérature : le cas de Sophie Calle et de Miranda July

Le présent mémoire propose de croiser les démarches de deux auteures et artistes contemporaines, Sophie Calle et Miranda July, dont les quatre œuvres à l’étude – Douleur exquise (2003), Aveugles (2011), Rachel, Monique (2012) de Calle et Il vous choisit (2013) de July – se fondent sur des expériences en amont de l’écriture qui mobilisent le corps même des auteures, les engagent dans une action concrète et, bien souvent, dans des interactions avec autrui. Cet art de la contrainte, cet art action qui devient le sédiment de leurs écrits s’inscrit dans la filiation hypothétique des théories du philosophe pragmatique John Dewey et de celles de l’artiste Allan Kaprow – l’un des premiers à réfléchir l’art de la performance. L’écriture intermédiale qu’elles pratiquent – ce jeu de relations entre différents médias au sein même de l’œuvre – permet à la fois de réactiver la valeur performative de l’expérience qui a impulsé la création littéraire et d’embrayer une expérience de lecture qui devient elle-même performative. Exemplaires d’une esthétique relationnelle, polyphoniques dans les voix qui s’expriment, les quatre ouvrages du corpus donnent à sentir le bruissement d’une communauté. Il s’agit d’une littérature interdisciplinaire et intersubjective, mais surtout performative dans son questionnement incessant sur le pouvoir de l’art pour transformer la vie.

Equivalent norms in polynomial spaces and applications.

In this paper, equivalence constants between various polynomial norms are calculated. As an application, we also obtain sharp values of the Hardy Littlewood constants for 2-homogeneous polynomials on l(p)(2) spaces, 2 < p <= infinity. We also provide lower estimates for the Hardy-Littlewood constants for polynomials of higher degrees.

E-polynomial of SL(2,C)-character varieties of complex curves of genus 3.

We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a complex curve of genus g = 3 into SL(2, C), and also of the moduli space of twisted representations. The case of genus g = 1, 2 has already been done in [12]. We follow the geometric technique introduced in [12], based on stratifying the space of representations, and on the analysis of the behaviour of the E-polynomial under fibrations.

The generating function of the generalized Fibonacci sequence

Using tools of the theory of orthogonal polynomials we obtain the generating function of the generalized Fibonacci sequence established by Petronilho for a sequence of real or complex numbers {Qn} defined by Q0 = 0, Q1 = 1, Qm = ajQm−1 + bjQm−2, m ≡ j (mod k), where k ≥ 3 is a fixed integer, and a0, a1, . . . , ak−1, b0, b1, . . . , bk−1 are 2k given real or complex numbers, with bj #0 for 0 ≤ j ≤ k−1. For this sequence some convergence proprieties are obtained.

Tratamiento del rechazo mediado por anticuerpos en pacientes trasplantados renales revisión sistemática

Antecedentes: El trasplante renal es la mejor alternativa terapéutica para la enfermedad renal crónica terminal. Los medicamentos inmunosupresores previenen el rechazo. El rechazo mediado por anticuerpos es frecuente y disminuye la función y duración del injerto. Objetivo: Evaluar sistemáticamente la evidencia disponible relacionada con la eficacia y seguridad del tratamiento para el rechazo mediado por anticuerpos en pacientes trasplantados renales. Metodologia: Revisión sistemática en bases de datos MEDLINE, EMBASE, Scopus y Biblioteca virtual de la salud. Literatura gris google scholar, google academico, www.clinicaltrialsregister.eu, and https://clinicaltrials.gov/. Búsqueda manual referencias artículos pre-seleccionados así como de revisiones previamente publicadas. Se siguieron las recomendacioes guia PRISMA para la identificacion de artículos potenciales, tamizaje y selección teniendo en cuenta los criterios de inclusion. Extracción datos de acuerdo a las variables, revisión calidad de los artículos elegidos utilizando evaluación riesgo de segos de Cochrane. Resultados: Se seleccionaron 9 ensayos clínicos publicados entre 1980 y 2016, incluyeron 222 pacientes (113 brazo de intervención y 109 en el control), seguimiento promedio 16 meses. Intervenciones evaluadas plasmaféresis, inmunoadsorción y rituximab. Hubo una amplia heterogeneidad en la definición de criterios de inclusión, criterios diagnósticos de rechazo y medidas de evaluación de eficacia de las intervenciones. Tres estudios encontraron diferencias estadísticamente significativas entre los grupos de tratamiento. Conclusiones: La evidencia sobre la eficacia de los tratamientos del rechazo mediado por anticuerpos en injertos renales es de baja calidad. Son necesarios ensayos clínicos controlados para poder definir el tratamiento óptimo de estos pacientes.

Frequency domain analysis of stationary time series

This thesis provides a necessary and sufficient condition for asymptotic efficiency of a nonparametric estimator of the generalised autocovariance function of a Gaussian stationary random process. The generalised autocovariance function is the inverse Fourier transform of a power transformation of the spectral density, and encompasses the traditional and inverse autocovariance functions. Its nonparametric estimator is based on the inverse discrete Fourier transform of the same power transformation of the pooled periodogram. The general result is then applied to the class of Gaussian stationary ARMA processes and its implications are discussed. We illustrate that for a class of contrast functionals and spectral densities, the minimum contrast estimator of the spectral density satisfies a Yule-Walker system of equations in the generalised autocovariance estimator. Selection of the pooling parameter, which characterizes the nonparametric estimator of the generalised autocovariance, controlling its resolution, is addressed by using a multiplicative periodogram bootstrap to estimate the finite-sample distribution of the estimator. A multivariate extension of recently introduced spectral models for univariate time series is considered, and an algorithm for the coefficients of a power transformation of matrix polynomials is derived, which allows to obtain the Wold coefficients from the matrix coefficients characterizing the generalised matrix cepstral models. This algorithm also allows the definition of the matrix variance profile, providing important quantities for vector time series analysis. A nonparametric estimator based on a transformation of the smoothed periodogram is proposed for estimation of the matrix variance profile.

Decompositions of powers of quadratic forms

We analyze the Waring decompositions of the powers of any quadratic form over the field of complex numbers. Our main objective is to provide detailed information about their rank and border rank. These forms are of significant importance because of the classical decomposition expressing the space of polynomials of a fixed degree as a direct sum of the spaces of harmonic polynomials multiplied by a power of the quadratic form. Using the fact that the spaces of harmonic polynomials are irreducible representations of the special orthogonal group over the field of complex numbers, we show that the apolar ideal of the s-th power of a non-degenerate quadratic form in n variables is generated by the set of harmonic polynomials of degree s+1. We also generalize and improve upon some of the results about real decompositions, provided by B. Reznick in his notes from 1992, focusing on possibly minimal decompositions and providing new ones, both real and complex. We investigate the rank of the second power of a non-degenerate quadratic form in n variables, which is equal to (n^2+n+2)/2 in most cases. We also study the border rank of any power of an arbitrary ternary non-degenerate quadratic form, which we determine explicitly using techniques of apolarity and a specific subscheme contained in its apolar ideal. Based on results about smoothability, we prove that the smoothable rank of the s-th power of such form corresponds exactly to its border rank and to the rank of its middle catalecticant matrix, which is equal to (s+1)(s+2)/2.

The combinatorics of Hilbert-Poincaré series of matroids

In this thesis we explore the combinatorial properties of several polynomials arising in matroid theory. Our main motivation comes from the problem of computing them in an efficient way and from a collection of conjectures, mainly the real-rootedness and the monotonicity of their coefficients with respect to weak maps. Most of these polynomials can be interpreted as Hilbert--Poincaré series of graded vector spaces associated to a matroid and thus some combinatorial properties can be inferred via combinatorial algebraic geometry (non-negativity, palindromicity, unimodality); one of our goals is also to provide purely combinatorial interpretations of these properties, for example by redefining these polynomials as poset invariants (via the incidence algebra of the lattice of flats); moreover, by exploiting the bases polytopes and the valuativity of these invariants with respect to matroid decompositions, we are able to produce efficient closed formulas for every paving matroid, a class that is conjectured to be predominant among all matroids. One last goal is to extend part of our results to a higher categorical level, by proving analogous results on the original graded vector spaces via abelian categorification or on equivariant versions of these polynomials.

Multi-scalar critical theories: first steps for a non perturbative functional renormalization group analysis

In this work the fundamental ideas to study properties of QFTs with the functional Renormalization Group are presented and some examples illustrated. First the Wetterich equation for the effective average action and its flow in the local potential approximation (LPA) for a single scalar field is derived. This case is considered to illustrate some techniques used to solve the RG fixed point equation and study the properties of the critical theories in D dimensions. In particular the shooting methods for the ODE equation for the fixed point potential as well as the approach which studies a polynomial truncation with a finite number of couplings, which is convenient to study the critical exponents. We then study novel cases related to multi field scalar theories, deriving the flow equations for the LPA truncation, both without assuming any global symmetry and also specialising to cases with a given symmetry, using truncations based on polynomials of the symmetry invariants. This is used to study possible non perturbative solutions of critical theories which are extensions of known perturbative results, obtained in the epsilon expansion below the upper critical dimension.