We provide an image deformation method based on wavelet filter using control curves and moving least squares. The image is preprocessed firstly instead of being directly deformed by the old ways. And the original image will be filtered into a high frequency part and a low frequency part by the wavelet, and then use the moving least squares and the control curves only to deform the low frequency...

In this paper we present a high-fidelity surface approximation technique that aims at a faithful reconstruction of piecewise-smooth surfaces from a scattered point set. The presented method builds on the Moving Least-Squares (MLS) projection methodology, but introduces a fundamental modification: While the classical MLS uses a fixed approximation space, i.e., polynomials of a certain degree, th...

In this paper, we propose a new method of image deformation. The unequal grids, which are based on the density of edges, were used for the dividing criteria in the MLS (Moving Least Squares) approximation [1] in image deformation. Depending on the importance of the image, we place the size of the grid differently and minimize the distortion that can occur when transforming the image. In this me...

We introduce improved element-free Galerkin method based on block pulse wavelet integration for numerical approximations to the solution of a system of fourth-order boundary-value problems associated with obstacle, unilateral, and contact problems. Moving least squares (MLS) approach is used to construct shape functions with optimized weight functions and basis. Numerical results for test probl...

Edge bundling methods can effectively alleviate visual clutter and reveal high-level graph structures in large graph visualization. Researchers have devoted significant efforts to improve edge bundling according to different metrics. As the edge bundling family evolve rapidly, the quality of edge bundles receives increasing attention in the literature accordingly. In this paper, we present MLSE...

In this letter, we present a novel method for reconstructing continuous data field from scattered point data, which leads to a more characteristic visualization result by volume rendering. The gradient distribution of scattered point data is analyzed for local feature investigation via singular-value decomposition. A data-adaptive ellipsoidal shaped function is constructed as the penalty functi...

Craniofacial reconstruction aims at estimating the facial outlook associated to an unknown specimen. Craniofacial reconstruction is generally based on the statistical tissue thickness on anthropometric landmarks. However, the features points alone are not enough for realistic reconstruction. So, in our paper, we take advantage of a reference facial model, through measuring the differences betwe...

In this paper, we describe a meshless approach to solve singularly perturbed differentialdifference equations of the second order with boundary layer at one end of the interval. In the numerical treatment for such type of problems, first we approximate the terms containing negative and positive shifts which converts it to a singularly perturbed differential equation. Next, a numerical scheme ba...

The Meshless Local Petrov–Galerkin method (MLPG) is one of the popular meshless methods that has been used very successfully to solve several types of boundary value problems since the late nineties. In this paper, using a generalized moving least squares (GMLS) approximation, a new direct MLPG technique, called DMLPG, is presented. Following the principle of meshless methods to express everyth...

Data obtained by scanning 3D models typically contains missing pieces and holes. These can be caused due to scanning artifacts or artifacts in the surface due to wear and tear. We provide a method based on the moving least squares projection to fill holes in triangular meshes obtained during the process of surface reconstruction . Our method can be applied to holes with non-planar geometry as w...