In this paper we consider the problem of designing piecewise polynomial local interpolants of non-uniformly spaced data. We provide a constructive approach that, for any assigned degree of polynomial reproduction, continuity order, and support width, allows for generating the fundamental spline functions of minimum degree having the desired properties. Finally, the proposed construction is extended to handle open sets of data and to the case of multiple knots.
A general framework for the construction of piecewise-polynomial local interpolants of minimum degree / C. Beccari; M. Antonelli; G. Casciola. - In: ADVANCES IN COMPUTATIONAL MATHEMATICS. - ISSN 1019-7168. - STAMPA. - 40:4(2014), pp. 945-976. [10.1007/s10444-013-9335-y]
A general framework for the construction of piecewise-polynomial local interpolants of minimum degree
BECCARI, CAROLINA VITTORIA;ANTONELLI, MICHELE;CASCIOLA, GIULIO
2014
Abstract
In this paper we consider the problem of designing piecewise polynomial local interpolants of non-uniformly spaced data. We provide a constructive approach that, for any assigned degree of polynomial reproduction, continuity order, and support width, allows for generating the fundamental spline functions of minimum degree having the desired properties. Finally, the proposed construction is extended to handle open sets of data and to the case of multiple knots.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
