Depth mapping of integral images through viewpoint image extraction with a hybrid disparity analysis algorithm

Integral imaging is a technique capable of displaying 3–D images with continuous parallax in full natural color. It is one of the most promising methods for producing smooth 3–D images. Extracting depth information from integral image has various applications ranging from remote inspection, robotic vision, medical imaging, virtual reality, to content-based image coding and manipulation for integral imaging based 3–D TV. This paper presents a method of generating a depth map from unidirectional integral images through viewpoint image extraction and using a hybrid disparity analysis algorithm combining multi-baseline, neighbourhood constraint and relaxation strategies. It is shown that a depth map having few areas of uncertainty can be obtained from both computer and photographically generated integral images using this approach. The acceptable depth maps can be achieved from photographic captured integral images containing complicated object scene

Convergent N2-scaling iterative method of photoelectron diffraction and low-energy electron diffraction for ordered or disordered systems

We present results of a convergent iterative method of photoelectron diffraction and low-energy electron diffraction. The computation time of this method scales as N2, where N is the dimension of the propagator matrix, rather than N3 as in conventional Gaussian substitutional methods. We show that the Rehr-Albers separable-representation cluster approach or slab-type nonseparable methods can all be cast in this iterative form. The convergence of this method is demonstrated for different materials. With the substantial savings in computational time and no loss in numerical accuracy, this method will be very useful in future applications of multiple-scattering theory, particularly for systems either involving very large unit cells (200-700 atoms) or where no long-range order is present. ©1999 The American Physical Society.published_or_final_versio

Surface Patterson function by inversion of low-energy electron diffraction I-V spectra at multiple incident angles

An artifacts-free Patterson function was obtained from the sum of transforms of low energy electron diffraction intensity-energy spectra at multiple incident angle and momenta transfers. Normal incidence measured spectra and calculated spectra at three angles of incidence were used to demonstrate this phenomena. The Patterson function was found to be highly accurate in determining the pairwise atomic distances in the horizontal direction.published_or_final_versio

Local flow at plate edge during water entry

The local flow near the edge of a horizontal plate impacting a flat liquid surface is investigated through velocity potential flow theory. The inner solution is matched with the outer solution. The far field of the inner solution is assumed to be far away from the other edge of the plate, and thus, its effect can be neglected. The effects of surface tension, viscous friction, and gravity are accounted for in the fully nonlinear dynamic boundary condition on the free surface. When one of these effects is dominant and the other two can be ignored, it is then possible to use self-similar variables to describe the local flow if the entry speed varies with time in a corresponding manner. Detailed results for various self-similar solutions are provided, and the relative importance of the Weber number, Reynolds number, and Froude number is investigated. Simulations are also undertaken for general non-similar flow, and the comparison with the experimental data is also made

A smoothing SQP method for nonlinear programs with stability constraints arising from power systems

This paper investigates a new class of optimization problems arising from power systems, known as nonlinear programs with stability constraints (NPSC), which is an extension of ordinary nonlinear programs. Since the stability constraint is described generally by eigenvalues or norm of Jacobian matrices of systems, this results in the semismooth property of NPSC problems. The optimal conditions of both NPSC and its smoothing problem are studied. A smoothing SQP algorithm is proposed for solving such optimization problem. The global convergence of algorithm is established. A numerical example from optimal power flow (OPF) is done. The computational results show efficiency of the new model and algorithm. © The Author(s) 2010.published_or_final_versionSpringer Open Choice, 21 Feb 201

A three dimensional infinite wedge shaped solid block sliding into water along an inclined beach

The three dimensional (3D) problem of a solid block sliding into water along an inclined beach is investigated. The main part of the block is an infinite wedge cylinder and the front of the body is part of an elliptical cone. Incompressible velocity potential theory is used together with fully nonlinear boundary conditions. When gravity is ignored, it is found that self-similar solution is possible. The boundary element method is used to solve the problem. The free surface shape is updated together with the potential on the free surface until the flow has become self-similar. Convergence studies are taken with respect to marching step and element size. Simulations are made for different bodies and different beach angles. Extensive results are provided for the pressure as well as the free surface shape, and their implications in physics are discussed

Role of scattering-factor anisotropy in electron, positron, and photon holography

We have studied the angular anisotropy in the scattering factor of electrons, positrons, and photons in solids. We show that as a function of angle, the maximum number of dips in the scattering factor's magnitude and jumps of near π in its phase are related to the angular momenta of the bound and resonance states of the potential. The effect of the scattering factor's anisotropy on low-energy electron and positron holographic wave-front reconstruction is discussed. Applying the variable-axis small-cone method, a good-quality reconstructed image is only possible within angular regions where the scattering factor is near isotropic. Thus the usable window for low-energy electron wave-front reconstruction is element dependent; the window size decreases as the atomic number increases. Positrons, on the other hand, are like photons and are not bound by the potential. For positrons or photons, there is no elemental dependence of the usable window and the entire backscattering regime is suitable for holographic reconstruction. We have established two rules that predict the maximum number of magnitude dips and phase jumps in the scattering factor for any element.published_or_final_versio

Methods in angle-resolved photoelectron diffraction: Slab method versus separable propagator cluster approach

We have compared multiple-scattering results of angle-resolved photoelectron diffraction spectra between the exact slab method and the separable propagator perturbation cluster method. In the slab method, the source wave and multiple scattering within strongly scattering layers are expanded in spherical waves while the scattering among different layers is expressed in plane waves. The transformation between spherical waves and plane waves is done exactly. The plane waves are then matched across the solid-vacuum interface to a single outgoing plane wave in the detector's direction. The slab is infinitely extended parallel to the surface. Normal to the surface, enough layers are included to ensure convergence of the calculated intensity. The separable propagator perturbation approach uses two approximations; (i) A separable representation of the Green's-function propagator and (ii) a perturbation expansion of multiple-scattering terms. The cluster size is finite, typically containing 50 atoms or less. Results of this study show that using a cluster of 148 atoms, the largest cluster used to date, the cluster size is still too small for the cluster results on Ni(001) to converge with those of the slab method. Ideas to improve the perturbation expansion cluster method are discussed.published_or_final_versio

Response of dispersed droplets to shock waves in supersonic mixing layers

The response of dispersed droplets to oblique shock waves in the supersonic mixing layer was investigated using the large eddy simulation coupled with the particle Lagrangian tracking model. The generated disturbances based on the most-unstable wave model were imposed to excite the development of supersonic shear layer. The oblique shock wave was numerically introduced in the flow field. Small- and medium-sized droplets remained their preferential distribution in the vortices after crossing the shock wave, while large-sized droplet became more dispersed. The influence of shock waves on the momentum and heat transfers from surrounding gas to droplets was analyzed by tracking droplets’ motion paths. Small-sized droplets responded easily to the shock wave. Compared with the aerodynamic response, the thermal response of droplets was slower, especially under the impaction of the shock wave. The present research conclusions are conductive to analyze the mixing of air and fuel droplets and of important academic value for further understanding the two-phase dynamics in combustors of scramjet