
02015479
a
02015479
Kvasov, Boris I.
On interpolating thin plate tension splines.
Cohen, Albert (ed.) et al., Curve und surface fitting, SaintMalo 2002. Fifth international conference on curves and surfaces, SaintMalo, France, June 27  July 3, 2002. Brentwood, TN: Nashboro Press (ISBN 0972848215/hbk). Modern Methods in Mathematics, 239248 (2003).
2003
Brentwood, TN: Nashboro Press
EN
numerical example
shape preserving spline interpolation
multipoint boundary value problem
thin plate tension spline
finitedifference approximation
successive overrelaxation iterative method
Summary: This paper addresses a new approach to solving the problem of shape preserving spline interpolation. Based on the formulation of the latter problem as a differential multipoint boundary value problem for thin plate tension spline, we consider its finitedifference approximation. The resulting system of linear equations can be efficiently solved by successive overrelaxation iterative method or using finitedifference schemes in fractional steps. We consider the basic computational aspects, and illustrate the main advantages of this new approach.