Abstract
We propose a quite general way to build “quasi-interpolants” on a cardinal grid, i.e. to determine some function Bh such that the function ▪ has the general shape of the points (jh,yj)jɛZZd. Different methods are proposed in order to get σ as close to the points (jh, yj)jɛZZd as wanted. It is shown that Bh may be defined by considering it as some regularisation of the Dirac distribution, and that it is better to determine Bh by using some least square criterion than by using a ‘ Pκreproducing” criterion. Special emphasis is given on “polyharmonic splines”: we define particular “m-harmonic splines” which are a natural generalisation of polynomial univariate B-splines. Extension is proposed for scatterred data.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call