The article is concerned with image reconstruction for arbitrarily spaced data using curvature interpolation. Image reconstruction is a challenging problem when no constraint is imposed on data locations. The problem is illposed and most numerical methods become overly expensive as the number of sample points increases. This article develops an effective partial differential equation (PDE)based...

One of the characteristics of normal occlusion is tight dental contact points (CPs). However, the magnitude and distribution of the tightness of a dental contact point (TDCP) in non-spaced versus spaced dentitions are unknown, as well as the mechanism controlling this arrangement. Two hypotheses were examined: the compression theory, i.e. the teeth touch each other in a compressive state; and t...

A sparse uniform Cartesian-grid array suffers cyclic ambiguity in its Cartesian direction-cosine estimates due to the spatial Nyquist sampling theorem. The proposed MUSIC-based or MODE-based algorithm improves and generalizes previous disambiguation schemes that populate the thin array grid with identical subarrays—such as electromagnetic vector sensors, underwater acoustic vector hydrophones, ...

We present a numerically fast reduced filtering strategy, the Fourier domain Kalman filter with appropriate interpolations to account for irregularly spaced observations of complex turbulent signals. The design of such a reduced filter involves: (i) interpolating irregularly spaced observations to the model regularly spaced grid points, (ii) understanding under which situation the small scale o...

The new version of differential quadrature (DQ) method is extended to analyze the free vibration of thin sector orthotropic plates on the Pasternak elastic foundation with various sector angles and elastic parameters. Detailed formulations are given. Comparisons are made with existing analytical and/or numerical data. Numerical results indicate that convergence can be achieved with increasing i...

Object detection is the automatic determination of image locations at which instances of a predefined object class are present. Numerous methods for object detection exist (e.g., (Viola and Jones, 2001; Fergus et al., 2006)), most of which scan a part of the image at some stage of the object-detection process. Until now, this scanning is performed in a passive manner: local image samples extrac...

A hybrid Lagrangian-Eulerian (hLE) scheme, combining a particle-based, mesh-free technique with a finitevolume flow solver, is developed for direct simulations of two-phase flows. The approach uses marker points around the interface and advects the signed distance to the interface in a Lagrangian frame. The kernel–based derivative calculations typical of particle methods are used to extract the...

the low earth orbiting (leo) satellites are widely used for geosciences applications. for most applications, precise orbital information of the satellites is required. a combination of the in suite observations and dynamic orbit yields the optimum solution. in order to obtain the combined optimal solution, one needs to analytically or numerically propagate the state vector epoch by an epoch bas...