In this paper, a new shape modeling approach that can enable direct Boolean intersection between acquired and designed geometry without model conversion is presented. At its core is a new method that enables direct intersection and Boolean operations between designed geometry (objects bounded by NURBS and polygonal surfaces) and scanned geometry (objects represented by point cloud data). We use...

The finite element error and adaptive analysis are implemented in procedures to increase the reliability of numerical analyses. In this paper, mesh-free error-recovery technique based on moving least squares (MLS) interpolation is applied recover errors stresses displacements incompressible elastic solutions estimated energy norms. effects types (triangular quadrilateral elements) formation pat...

A method for moving least squares interpolation and differentiation is presented in the framework of orthogonal polynomials on discrete points. This yields a robust and efficient method which can avoid singularities and breakdowns in the moving least squares method caused by particular configurations of nodes in the system. The method is tested by applying it to the estimation of first and seco...

Developing suitable interpolation methods to simulate dynamic motions of continuous materials such as fluids is an important problem. In this paper, we propose a novel method to enforce the divergence condition to the interpolated velocity field by moving least squares, by means of the diffusive derivatives and moving divergence constraints that allow the practical use and easy implementation. ...

in this paper, some applications of the method of least squares (mls) for the solution of various problems in electromagnetics engineering is briefly reviewed. here, mls is employed for the solution of various problems such as solution of equations, curve fitting to measured data, generalized fourier coefficients, linear operator equations, inegro-differential equations, electrostatics and magn...

The moving least squares (MLS) and total (MTLS) are two of the most popular methods used for reconstructing measurement data, on account their good local approximation accuracy. However, reconstruction accuracy robustness will be greatly reduced when there outliers in data. This article proposes an improved MTLS method (IMTLS), which introduces random sample consensus (RANSAC) algorithm a corre...

We propose a generic procedure to raise the approximation order of multivariate approximation schemes using supplementary derivative data. The procedure applies to all schemes that reproduce polynomials to a certain degree, including most common types of (quasi-) interpolation and moving least-squares. For an approximation scheme of orderm and a dataset that provides n supplementary orders of d...

In this paper, we treat a design problem for IIR digital filters described by rational transfer function in discrete space. First, we form the filter design problem using the modified least-squares (MLS) criterion and express it as the quadratic form with respect to the numerator and denominator coefficients. Next, we show the relaxation method using the Lagrange multiplier method in order to s...

Accurate computing of the curvatures of a surface from its discrete form is of fundamental importance for many graphics and engineering applications. The moving least-squares (MLS) surface from Levin [Lev2003] and its variants have been successfully used to define point-set surfaces in a variety of point cloud data based modeling and rendering applications. This paper presents a set of analytic...