THE INFLUENCE OF THE NON-UNIFORM SPLINE BASIS ON THE APPROXIMATION SIGNAL (TueAmOR4)

Author(s) : Najat Chihab (L2TI,INSTITUT GALILEE,UNIVERSITE PARIS 13, FRANCE) Anissa Zergainoh (L2TI,INSTITUT GALILEE,UNIVERSITE PARIS 13, FRANCE) Jean-Pierre Astruc (L2TI,INSTITUT GALILEE,UNIVERSITE PARIS 13, FRANCE)

Abstract : This paper is concerned with the problem of recovering a discrete signal from a set of irregularly spaced samples. The approximation method is based on spline functions using non-uniform B-splines. According to the diverse knot sequence configurations, several bases are achievable. We study the important issue of selecting an adequate basis of the spline function. The analysis shows that the elements and the dimension of the spline basis influence on the following points (i) the quality of the approximation signal, (ii) the requirements of the implementation and (iii) the sensitivity to the noise. For a given degree of the spline and for a particular knot sequence configuration, the smallest dimension of the basis provides good performances compared to basis spline of higher dimension. The theoretical results are illustrated with examples.

Menu