In this paper, we introduce the new class of twisted B-splines and study some properties these B-splines. We also investigate system translates wavelets corresponding to

Tasks of data compression, transmission, subsequent recovery with a given accuracy are of great practical importance. In this paper we consider a problem of constructing graphical information on a plane with the help of a parametric defined splines with different properties. Here we compare the polynomial and the trigonometric splines of the first and the second order, the polynomial integro-di...

Triangular B-splines are powerful and flexible in modeling a broader class of geometric objects defined over arbitrary, non-rectangular domains. Despite their great potential and advantages in theory, practical techniques and computational tools with triangular B-splines are less-developed. This is mainly because users have to handle a large number of irregularly distributed control points over...

The paper deals with Div-Curl approximation problem by weighted thin plate splines. The weighted thin plate splines are an extension of the well known thin plate splines and are radial basis functions which allow the approximation and interpolation of a scalar functions from a given scattered data. We show how the weighted thin plate splines may also be used for the approximation and interpolat...