An approximation of data points by piecewise polynomial functions and their dual orthogonal functions

The fluency theory provides a powerful model for describing various types o f analog signals, by introducing a set of piecewise polynomial functions an d their dual orthogonal functions which are classified in terms of their co ntinuous differentiability. In this paper, we propose a method to approxima te a set of given data points based on the fluency theory and give an examp le of its application. Results show the possibility of better approximation s by adaptively employing fluency functions of different classes. (C) 2000 Elsevier Science B.V. All rights reserved.