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On discrete hyperbolic tension splines |
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| Authors: | Paolo Costantini Boris I Kvasov Carla Manni |
| Institution: | (1) Dipartimento di Matematica, Università di Siena, Via del Capitano 15, I-53100 Siena, Italy;(2) Institute of Computational Technologies, Russian Academy of Sciences, Lavrentyev Avenue 6, 630090 Novosibirsk, Russia;(3) Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, I-10123 Torino, Italy |
| Abstract: | 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. |
| Keywords: | hyperbolic tension splines multipoint boundary value problem discrete hyperbolic tension splines and B-splines shape preserving interpolation |
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