On discrete hyperbolic tension splines

被引:0
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作者
Paolo Costantini
Boris I. Kvasov
Carla Manni
机构
[1] Università di Siena,Dipartimento di Matematica
[2] Russian Academy of Sciences,Institute of Computational Technologies
[3] Università di Torino,Dipartimento di Matematica
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关键词
hyperbolic tension splines; multipoint boundary value problem; discrete hyperbolic tension splines and B-splines; shape preserving interpolation;
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摘要
A hyperbolic tension spline is defined as the solution of a differential multipoint boundary value problem. A discrete hyperbolic tension spline is obtained using the difference analogues of differential operators; its computation does not require exponential functions, even if its continuous extension is still a spline of hyperbolic type. We consider the basic computational aspects and show the main features of this approach.
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页码:331 / 354
页数:23
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