2008 , Volume 13, Special issue, p.94-100

Approximation relations are regarded as a system of equations for deducing of (polynomial and non-polynomial) splines. Twice continuous differentiable splines of the third order on irregular grid are constructed; coordinate splines have minimal support. The main result of the paper is a numerical simulation of calibration relations for the trigonometric splines connected with a grid refinement. This leads to a wavelet decomposition of signals with fast oscillations. The obtained relations contain less then three terms and therefore these relations can be easily realized on a two-processor computer.