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Article information
2005 , Volume 10, ¹ 1, p.49-57
Kvasov B.I.
Interpolation by shape-preserving biharmonic splines
This paper addresses a new approach for solving the problem of a shape preserving spline interpolation. Based on the formulation of the latter problem as a differential multipoint boundary value problem for a thin plate tension spline, its finite-difference approximation is considered. The resulting system of linear equations can be efficiently solved by successive over-relaxation (SOR) iterative method or using finite-difference schemes in fractional steps. We consider the basic computational aspects and illustrate the main advantages of this original approach.
[full text] Author(s):
Kvasov Boris Ilich
Professor
Position: Leading research officer
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentjev ave., 6
Phone Office: (3832) 307373
E-mail: kvasov@ict.nsc.ru
Bibliography link:
Kvasov B.I. Interpolation by shape-preserving biharmonic splines // Computational technologies. 2005. V. 10. ¹ 1. P. 49-57
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