The truly meshless local Petrov-Galerkin (MLPG) method holds a great promise in solving boundary value problems, using a local symmetric weak form as a natural approach. In the present paper, in the context of MLPG and the meshless interpolation of a moving least squares (MLS) type, a method which uses primary and secondary nodes in the domain and on the global boundary is introduced, in order ...

Moving-Least-Squares (MLS) Surfaces undergoing large deformations need periodic regeneration of the point set (point-set resampling) so as to keep the point-set density quasi-uniform. Previous work by the authors dealt with algebraic MLS surfaces, and proposed a resampling strategy based on defining the new points at the intersections of the MLS surface with a suitable set of rays. That strateg...

An analysis of moving least squares (m.l.s.) methods for smoothing and interpolating scattered data is presented. In particular, theorems are proved concerning the smoothness of interpolants and the description of m.l.s. processes as projection methods. Some properties of compositions of the m.l.s. projector, with projectors associated with finiteelement schemes, are also considered. The analys...

The radial basis function interpolant is known to be the best approximation to a set of scattered data when the error is measured in the native space norm. The approximate moving least squares method, on the other hand, was recently proposed as an efficient approximation method that avoids the solution of the system of linear equations associated with the radial basis function interpolant. In t...

This paper presents a one-sided immersed boundary (IB) method using kernel functions constructed via moving least squares (MLS) method. The resulting kernels effectively couple structural degrees of freedom to fluid variables on only one side the fluid-structure interface. reduces spurious feedback forcing and internal flows that are typically observed in IB models use isotropic structure both ...

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Image morphing has received much attention in recent years. It has proven to be a powerful tool for visual effects in film and television, depicting the fluid transformation of one digital image into another. In this paper, we present a novel approach for image morphing based on moving least squares. A sketching interface is proposed for quickly and easily specifying the feature correspondences...