Shepard and Hardy Multiquadric Interpolation Methods for Multicomponent Aerosol–Cloud Parameterization

Using multiquadric quasi-interpolation for solving Kawahara equation

Parameterization for curve interpolation

A common task in geometric modelling is to interpolate a sequence of points or derivatives, sampled from a curve, with a parametric polynomial or spline curve. To do this we must first choose parameter values corresponding to the interpolation points. The important issue of how this choice affects the accuracy of the approximation is the focus of this paper. The underlying principle is that ful...

Constrained Visualization Using the Shepard Interpolation Family

This paper discusses the problem of visualizing data where there are underlying constraints that must be preserved. For example, we may know that the data are inherently positive. We show how the Modified Quadratic Shepard method, which interpolates scattered data of any dimensionality, can be constrained to preserve positivity. We do this by forcing the quadratic basis functions to be positive...

using multiquadric quasi-interpolation for solving kawahara equation

Suitability of Parametric Shepard Interpolation for Nonrigid Image Registration

Shepard interpolation is known to produce flat horizontal spots at and around data points. The phenomenon is caused by Shepard’s use of rational inversedistance weight functions, producing similar values around data points. In this paper, a parametric version of Shepard interpolation is introduced that avoids flat horizontal spots. Because Shepard interpolation or its parametric version does no...