WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 19, 2020
Approximation by the Third-Order Splines on Uniform and Non-uniform Grids and Image Processing
Authors: , ,
Abstract: This work is one of a series of papers that is devoted to the further investigation of polynomial splines and trigonometric splines of the third order approximation. Polynomial basis splines are better known and therefore more commonly used. However, the use of trigonometric basis splines often provides a smaller approximation error. In some cases, the use of the trigonometric approximations is preferable to the polynomial approximations. Here we continue to compare these two types of approximation. The Lebesgue functions and constants are discussed for the polynomial splines and the trigonometric splines. The examples of the applications of the splines to image enlargement are given.
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Keywords: Polynomial splines, Trigonometric Splines, Interpolation, Image Processing, Enlarging image, Lebesgue constant
Pages: 65-73
DOI: 10.37394/23206.2020.19.7