Spherical Shepard-Bernoulli operator6 days agoAbstractWe 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 polynomials2 months agoAbstract 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 functions10 months agoAbstract 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 type1 year agoAbstractWe 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 type2 years agoAbstractStarting 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 type3 years agoAbstractWe obtain some new Shepard type operators based on the classical, the modified Shepard methods and the least squares thin…