An application of the Shepard operator in image reconstruction
Abstract We propose an application of the Shepard operator combined with two radial basis functions in image processing. This method…
Shepard
Spherical Shepard-Bernoulli operator
AbstractWe consider the problem of interpolating large sets of scattered data on the sphere using Shepard-Bernoulli operators constructed based on…
Univariate Shepard operators combined with least squares fitting polynomials
Abstract We obtain new univariate Shepard operators using polynomials that are constructed such that they fit the interpolation data in…
Spherical interpolation of scattered data using least squares thin-plate spline and inverse multiquadric functions
Abstract We construct some smooth functions defined over a sphere that interpolate large sets of scattered data, using some modified…
Iterative Shepard operator of least squares thin-plate spline type
AbstractWe propose a modified bivariate Shepard operator of least squares thin-plate spline type based on an iterative method, introduced by…
The combined Shepard operator of inverse quadratic and inverse multiquadric type
AbstractStarting with the classical, the modified and the iterative Shepard methods, we construct some new Shepard type operators, using the…
Shepard operator of least squares thin-plate spline type
AbstractWe obtain some new Shepard type operators based on the classical, the modified Shepard methods and the least squares thin…