Improving Wishart Classification of Polarimetric SAR Data Using the Hopfield Neural Network Optimization Approach.

This paper proposes the optimization relaxation approach based on the analogue Hopfield Neural Network (HNN) for cluster refinement of pre-classified Polarimetric Synthetic Aperture Radar (PolSAR) image data. We consider the initial classification provided by the maximum-likelihood classifier based on the complex Wishart distribution, which is then supplied to the HNN optimization approach. The goal is to improve the classification results obtained by the Wishart approach. The classification improvement is verified by computing a cluster separability coefficient and a measure of homogeneity within the clusters. During the HNN optimization process, for each iteration and for each pixel, two consistency coefficients are computed, taking into account two types of relations between the pixel under consideration and its corresponding neighbors. Based on these coefficients and on the information coming from the pixel itself, the pixel under study is re-classified. Different experiments are carried out to verify that the proposed approach outperforms other strategies, achieving the best results in terms of separability and a trade-off with the homogeneity preserving relevant structures in the image. The performance is also measured in terms of computational central processing unit (CPU) times.

Planar point sets with large minimum convex decompositions

We show the existence of sets with n points (n ? 4) for which every convex decomposition contains more than (35/32)n?(3/2) polygons,which refutes the conjecture that for every set of n points there is a convex decomposition with at most n+C polygons. For sets having exactly three extreme pointswe show that more than n+sqr(2(n ? 3))?4 polygons may be necessary to form a convex decomposition.

Pipelined Radix- 2k Feedforward FFT Architectures

The appearance of radix-$2^{2}$ was a milestone in the design of pipelined FFT hardware architectures. Later, radix-$2^{2}$ was extended to radix-$2^{k}$ . However, radix-$2^{k}$ was only proposed for single-path delay feedback (SDF) architectures, but not for feedforward ones, also called multi-path delay commutator (MDC). This paper presents the radix-$2^{k}$ feedforward (MDC) FFT architectures. In feedforward architectures radix-$2^{k}$ can be used for any number of parallel samples which is a power of two. Furthermore, both decimation in frequency (DIF) and decimation in time (DIT) decompositions can be used. In addition to this, the designs can achieve very high throughputs, which makes them suitable for the most demanding applications. Indeed, the proposed radix-$2^{k}$ feedforward architectures require fewer hardware resources than parallel feedback ones, also called multi-path delay feedback (MDF), when several samples in parallel must be processed. As a result, the proposed radix-$2^{k}$ feedforward architectures not only offer an attractive solution for current applications, but also open up a new research line on feedforward structures.

Anticorrelation between Ion Acceleration and Nonlinear Coherent Structures from Laser-Underdense Plasma Interaction

In laser-plasma experiments, we observed that ion acceleration from the Coulomb explosion of the plasma channel bored by the laser, is prevented when multiple plasma instabilities such as filamentation and hosing, and nonlinear coherent structures (vortices/post-solitons) appear in the wake of an ultrashort laser pulse. The tailoring of the longitudinal plasma density ramp allows us to control the onset of these insabilities. We deduced that the laser pulse is depleted into these structures in our conditions, when a plasma at about 10% of the critical density exhibits a gradient on the order of 250 {\mu}m (gaussian fit), thus hindering the acceleration. A promising experimental setup with a long pulse is demonstrated enabling the excitation of an isolated coherent structure for polarimetric measurements and, in further perspectives, parametric studies of ion plasma acceleration efficiency.

Mesh traversal and sorting for efficient memory usage in scientific codes

Applications that operate on meshes are very popular in High Performance Computing (HPC) environments. In the past, many techniques have been developed in order to optimize the memory accesses for these datasets. Different loop transformations and domain decompositions are com- monly used for structured meshes. However, unstructured grids are more challenging. The memory accesses, based on the mesh connectivity, do not map well to the usual lin- ear memory model. This work presents a method to improve the memory performance which is suitable for HPC codes that operate on meshes. We develop a method to adjust the sequence in which the data are used inside the algorithm, by means of traversing and sorting the mesh. This sorted mesh can be transferred sequentially to the lower memory levels and allows for minimum data transfer requirements. The method also reduces the lower memory requirements dra- matically: up to 63% of the L1 cache misses are removed in a traditional cache system. We have obtained speedups of up to 2.58 on memory operations as measured in a general- purpose CPU. An improvement is also observed with se- quential access memories, where we have observed reduc- tions of up to 99% in the required low-level memory size.

Haces no uniformemente polarizados para medidas polarimétricas de medios homogéneos y transparentes

En este trabajo se propone el uso de diversos tipos de haces no-uniformemente y totalmente polarizados en medidas polarimétricas de muestras homogéneas y transparentes. Como ejemplos concretos de este tipo de haces se proponen los haces espiralmente polarizados y haces a la salida de medios uniáxicos anisótropos con el eje óptico en la dirección de propagación. Dichos haces se representan mediante modelos analíticos sencillos, teniendo en cuenta el carácter vectorial de los mismos, los cuales permiten conocer el campo en cualquier plano en propagación libre y a través de medios o sistemas que pueden ser descritos mediante matrices de Müller. Mediante el uso de haces nouniformemente y totalmente polarizados se simplifica notablemente el proceso de medida, siendo suficientes una o dos medidas según el haz utilizado, para la obtención de todos los elementos de la matriz de Müller de la muestra. ABSTRACT. In this work the use of non-uniformly and totally polarized fields in polarimetric measurements of homogeneous and transparent samples is proposed. As particular examples of this kind of fields, spirally polarized fields and fields at the output of uniaxial anisotropic media, with its optics axis along the propagation direction, are considered. Such fields are represented by simple analytical models, taking the vectorial nature of light into account. By means of these models, the fields at any plane upon free propagation or after passing through media or systems described by Müller matrices, can be calculated. By using non-uniformly and totally polarized fields the measurement procedure is significantly simplified. Depending on the field to be used only one or two measurements are required for obtaining all the elements of the Müller matrix of the sample.

Propiedades de materiales mediante análisis de radiación aleatoria

Las técnicas de speckle tienen un gran interés científico e ingenieril, ya que son métodos de ejecución rápida y no destructiva, con base en el análisis de las fluctuaciones de intensidad de la radiación producida cuando la luz coherente de un haz láser es esparcida por un material dado. En este caso se produce un patrón aleatorio de interferencia y difracción donde la suma de las componentes desfasadas dará lugar a máximos y mínimos de intensidad en distintos puntos del espacio. Éste, pese a tratarse de un ruido nocivo en multitud de áreas tales como la transmisión de señales o la holografía, tiene importantes propiedades físicas que lo caracterizan y lo hacen útil como medio para analizar sistemas reales de muy diversa índole. En el presente estudio, se ha llevado a cabo un análisis polarimétrico de la radiación aleatoria esparcida por una serie de muestras metálicas y dieléctricas con el objetivo de establecer una base comparativa que nos permita poder distinguir unas de otras. Para este fin se han comparado los parámetros de polarización de Stokes, el grado de polarización de la luz, las distribuciones de intensidad y el tamaño medio del speckle registrado en los distintos patrones de intensidad. Además, se analizará la dependencia de la rugosidad en el grado de polarización de la luz para los distintos medios sometidos a estudio. Abstract Speckle techniques have a great scientific and engineering interest as they are methods of rapid and non-destructive execution, based on the analysis of the fluctuations of intensity of the radiation produced when coherent light of a laser beam is scattered by a material given. In this case, a random pattern of interference and diffraction occurs where the sum of phase shifted components will result in maximum or minimum of intensity at different points in space. This, despite being a harmful noise in many areas such as signal transmission or holography, has important physical properties that characterize it and make it useful as a means to analyze real systems of various kinds. In the present study, we have conducted a polarimetric analysis of the random radiation scattered by a series of metal and dielectric samples in order to establish a comparative basis to allow us to distinguish one from another. To this end we have compared, the stokes polarization parameters, the degree of polarization (DOP), the intensity distributions and the average size of the speckle registered in the different intensity patterns. Furthermore, dependence of roughness in the DOP of light for the different means under study will be analyzed.

Flow around a hemisphere-cylinder at high angle of attack and low Reynolds number. Part I: Experimental and numerical investigation

Three-dimensional Direct Numerical Simulations combined with Particle Image Velocimetry experiments have been performed on a hemisphere-cylinder at Reynolds number 1000 and angle of attack 20◦. At these flow conditions, a pair of vortices, so-called “horn” vortices, are found to be associated with flow separation. In order to understand the highly complex phenomena associated with this fully threedimensional massively separated flow, different structural analysis techniques have been employed: Proper Orthogonal and Dynamic Mode Decompositions, POD and DMD, respectively, as well as criticalpoint theory. A single dominant frequency associated with the von Karman vortex shedding has been identified in both the experimental and the numerical results. POD and DMD modes associated with this frequency were recovered in the analysis. Flow separation was also found to be intrinsically linked to the observed modes. On the other hand, critical-point theory has been applied in order to highlight possible links of the topology patterns over the surface of the body with the computed modes. Critical points and separation lines on the body surface show in detail the presence of different flow patterns in the base flow: a three-dimensional separation bubble and two pairs of unsteady vortices systems, the horn vortices, mentioned before, and the so-called “leeward” vortices. The horn vortices emerge perpendicularly from the body surface at the separation region. On the other hand, the leeward vortices are originated downstream of the separation bubble, as a result of the boundary layer separation. The frequencies associated with these vortical structures have been quantified.