We present the theory and numerical results for interferometrically interpolating and extrapolating ocean bottom seismic (OBS) and surface seismic profile (SSP) data. For the interpolation of OBS data we use the combination of a natural Green’s function (i.e. OBS shot gather) and a model-based Green’s function for the water-layer model. Results show that the aliased OBS data with 80 meter geoph...

The jlux integral method is a procedure for constructing an explicit single-step forward-in-time conservative control-volume update of the unsteady multidimensional convection-d@usion equation. The convective-plusdifjiiveJlux at each face of a control-volume cell is estimated by integrating the transported variable and its face-normal derivative over the volume swept out by the convecting veloc...

Craig M. Wittenbrink Baskin Center for Computer Engineering & Information Sciences University of California, Santa Cruz Santa Cruz, CA 95064 USA Abstract Reconstruction is used frequently in visualization of one, two, and three{dimensional data. Data uncertainty is typically ignored, and a de ciency of many interpolation schemes is smoothing which may indicate features or characteristics of the...

Areal interpolation is a geospatial analysis method that allows researchers to estimate the incidence of a phenomenon in one set of areal units given data based on different areal units. One practice implemented in conjunction with areal interpolation is known as filtered area weighting, in which ancillary data is introduced to exclude specific areas from the areal units based on certain criter...

Common motion compensated hybrid video coding standards such as H.263, MPEG-1, MPEG-2, MPEG-4 are based on a fractional-pel displacement vector (DV) resolution of 1/2-pel. Recent approaches like MPEG-4 (ACE-profile) and H.26L use higher DV resolutions of 1/4-pel and 1/8-pel. In order to estimate and compensate fractional-pel displacements, the image signal has to be interpolated. Especially for...

The determination of dissociative adsorption probabilities based on first-principles total-energy calculations requires a numerically efficient and accurate interpolation scheme in order to be able to run a sufficient number of trajectories. Here we present a neural network scheme for the construction of a continuous potential energy surface (PES). We illustrate the accuracy and efficiency of o...

In this paper, an accurate and computationally efficient algorithm is proposed for estimating time-varying and frequency-selective fading channel with unequally spaced pilot symbols. By employing the time-varying coefficient polynomial interpolation method, it is proved that the time-varying channel impulse response can be estimated by the product of a constant interpolation matrix and the fadi...

One of the significant advantages of particle methods is their capability of computing large material deformation without the difficulty of mesh distortion. Often the large deformation of a material is caused by shock loading, therefore accurate calculation of shock waves is important for particle methods. In this work we study the numerical properties of four major versions of the material poi...

Almost all graphics architectures today support Gouraud shading, linear color interpolation between vertices; system designers aim toward a Phong shading model, linear interpolants of surface normals with a lighting model that supports both diffuse and specular components, as a superior means of rendering accurate images. However, the Phong model still retains serious artifacts. In this paper, ...

We propose a numerical method for solving nonlinear initial-value problems of Lane-Emden type. The method is based upon nonclassical Gauss-Radau collocation points, and weighted interpolation. Nonclassical orthogonal polynomials, nonclassical Radau points and weighted interpolation are introduced on arbitrary intervals. Then they are utilized to reduce the computation of nonlinear initial-value...