447 research outputs found

    Random on-board pixel sampling (ROPS) X-ray Camera

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    Recent advances in compressed sensing theory and algorithms offer new possibilities for high-speed X-ray camera design. In many CMOS cameras, each pixel has an independent on-board circuit that includes an amplifier, noise rejection, signal shaper, an analog-to-digital converter (ADC), and optional in-pixel storage. When X-ray images are sparse, i.e., when one of the following cases is true: (a.) The number of pixels with true X-ray hits is much smaller than the total number of pixels; (b.) The X-ray information is redundant; or (c.) Some prior knowledge about the X-ray images exists, sparse sampling may be allowed. Here we first illustrate the feasibility of random on-board pixel sampling (ROPS) using an existing set of X-ray images, followed by a discussion about signal to noise as a function of pixel size. Next, we describe a possible circuit architecture to achieve random pixel access and in-pixel storage. The combination of a multilayer architecture, sparse on-chip sampling, and computational image techniques, is expected to facilitate the development and applications of high-speed X-ray camera technology.Comment: 9 pages, 6 figures, Presented in 19th iWoRI

    Intermediate statistics for a system with symplectic symmetry: the Dirac rose graph

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    We study the spectral statistics of the Dirac operator on a rose-shaped graph---a graph with a single vertex and all bonds connected at both ends to the vertex. We formulate a secular equation that generically determines the eigenvalues of the Dirac rose graph, which is seen to generalise the secular equation for a star graph with Neumann boundary conditions. We derive approximations to the spectral pair correlation function at large and small values of spectral spacings, in the limit as the number of bonds approaches infinity, and compare these predictions with results of numerical calculations. Our results represent the first example of intermediate statistics from the symplectic symmetry class.Comment: 26 pages, references adde

    Generalized problem of thermal bending analysis in the Cartesian domain

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    This is an attempt for mathematical formulation and general analytical solution of the most generalized thermal bending problem in the Cartesian domain. The problem has been formulated in the context of non-homogeneous transient heat equation subjected to Robin’s boundary conditions. The general solution of the generalized thermoelastic problem has been discussed for temperature change, displacements, thermal stresses, deflection, and deformation. The most important feature of this work is any special case of practical interest may be readily obtained by this most generalized mathematical formulation and its analytical solution. There are 729 such combinations of possible boundary conditions prescribed on parallelepiped shaped region in the Cartesian coordinate system. The key idea behind the solution of heat equation is to transform the original initial and boundary value problem into eigenvalue problem through the Strum-Liouville theory. The finite Fourier transform has been applied with respect to space variables by choosing suitable normalized kernels. The well-posedness of the problem has been discussed by the existence, uniqueness, and stability of series solutions obtained analytically. The convergence of infinite series solutions also been discussed

    Supersymmetric Many-particle Quantum Systems with Inverse-square Interactions

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    The development in the study of supersymmetric many-particle quantum systems with inverse-square interactions is reviewed. The main emphasis is on quantum systems with dynamical OSp(2|2) supersymmetry. Several results related to exactly solved supersymmetric rational Calogero model, including shape invariance, equivalence to a system of free superoscillators and non-uniqueness in the construction of the Hamiltonian, are presented in some detail. This review also includes a formulation of pseudo-hermitian supersymmetric quantum systems with a special emphasis on rational Calogero model. There are quite a few number of many-particle quantum systems with inverse-square interactions which are not exactly solved for a complete set of states in spite of the construction of infinitely many exact eigen functions and eigenvalues. The Calogero-Marchioro model with dynamical SU(1,1|2) supersymmetry and a quantum system related to short-range Dyson model belong to this class and certain aspects of these models are reviewed. Several other related and important developments are briefly summarized.Comment: LateX, 65 pages, Added Acknowledgment, Discussions and References, Version to appear in Jouranl of Physics A: Mathematical and Theoretical (Commissioned Topical Review Article

    Quantum chaos, random matrix theory, and statistical mechanics in two dimensions - a unified approach

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    We present a theory where the statistical mechanics for dilute ideal gases can be derived from random matrix approach. We show the connection of this approach with Srednicki approach which connects Berry conjecture with statistical mechanics. We further establish a link between Berry conjecture and random matrix theory, thus providing a unified edifice for quantum chaos, random matrix theory, and statistical mechanics. In the course of arguing for these connections, we observe sum rules associated with the outstanding counting problem in the theory of braid groups. We are able to show that the presented approach leads to the second law of thermodynamics.Comment: 23 pages, TeX typ

    ANOMALY DETECTION OF EVENTS IN CROWDED ENVIRONMENT AND STUDY OF VARIOUS BACKGROUND SUBTRACTION METHODS

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    Anomalous behavior detection and localization in videos of the crowded area that is specific from a dominant pattern are obtained. Appearance and motion information are taken into account to robustly identify different kinds of an anomaly considering a wide range of scenes. Our concept based on a histogram of oriented gradients and Markov random field easily captures varying dynamic of the crowded environment.Histogram of oriented gradients along with well-known Markov random field will effectively recognize and characterizes each frame of each scene. Anomaly detection using artificial neural network consist both appearance and motion features which extract within spatio temporal domain of moving pixels that ensures robustness to local noise and thus increases accuracy in detection of a local anomaly with low computational cost.To extract a region of interest we have to subtract background. Background subtraction is done by various methods like Weighted moving mean, Gaussian mixture model, Kernel density estimation.

    The comparison of apache II and apache IV score to predict mortality in intensive care unit in a tertiary care hospital

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    Background: The prognostication of critically ill patients, in a systematic way, based on definite objective data is an integral part of the quality of care in Intensive Care Unit (ICU). Acute physiology and chronic health evaluation (APACHE) scoring systems provide an objective means of mortality prediction in Intensive Care Unit (ICU). The aims of this study were to compare the performance of APACHE II and APACHE IV in predicting mortality in our intensive care unit (ICU).Methods: A prospective observational study was conducted in a 13 bedded intensive care unit (ICU) of a tertiary level teaching hospital. All the patients above the age of 12 years, irrespective of diagnosis managed in ICU for >24hours were enrolled. APACHE II and APACHE IV scores were calculated based on the worst values in the first 24hours of admission. All enrolled patients were followed up, and outcome was recorded as survivors or non survivors. Observed mortality rates were compared with predicted mortality rates for both the APACHE II and APACHE IV. Receiver operator characteristic curves (ROC) were used to compare accuracy of the two scores.Results: APACHE II score of the patients ranged from 1 to 32 and APACHE IV score of the patients ranged from 25 to 142. There was good correlation between APACHE II and APACHE IV scores with the spearman’s rho value of 0.776 (P<0.01). Discrimination for APACHE II and APACHE IV models were good with area under ROC curve of 0.805 and 0.832 respectively. APACHE IV was more accurate than APACHE II in this regard. The cut-off point with best Youden index for APACHE II was 17 and for APACHE IV were 72 respectively for predicting mortality.Conclusions: Discrimination was better for APACHE IV than APACHE II model however Calibration was better for APACHE II than APACHE IV model in present study. There was good correlation between the two models observed in present study
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