Shape preserving $$HC^2$$ H C 2 interpolatory subdivision
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| 024 | 7 | 0 | |a 10.1007/s10543-014-0530-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10543-014-0530-0 | ||
| 245 | 0 | 0 | |a Shape preserving $$HC^2$$ H C 2 interpolatory subdivision |h [Elektronische Daten] |c [Davide Lettieri, Carla Manni, Francesca Pelosi, Hendrik Speleers] |
| 520 | 3 | |a A subdivision procedure is developed to solve a $$C^2$$ C 2 Hermite interpolation problem with the further request of preserving the shape of the initial data. We consider a specific non-stationary and non-uniform variant of the Merrien $$HC^2$$ H C 2 subdivision family, and we provide a data dependent strategy to select the related parameters which ensures convergence and shape preservation for any set of initial monotone and/or convex data. Each step of the proposed subdivision procedure can be regarded as the midpoint evaluation of an interpolating function—and of its first and second derivatives—in a suitable space of $$C^2$$ C 2 functions of dimension $$6$$ 6 which has tension properties. The limit function of the subdivision procedure is a $$C^2$$ C 2 piecewise quintic polynomial interpolant. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2015 | ||
| 690 | 7 | |a Subdivision |2 nationallicence | |
| 690 | 7 | |a Hermite interpolation |2 nationallicence | |
| 690 | 7 | |a Shape preservation |2 nationallicence | |
| 690 | 7 | |a Bézier form |2 nationallicence | |
| 700 | 1 | |a Lettieri |D Davide |u Dipartimento di Matematica, Università di Roma "Tor Vergata”, Rome, Italy |4 aut | |
| 700 | 1 | |a Manni |D Carla |u Dipartimento di Matematica, Università di Roma "Tor Vergata”, Rome, Italy |4 aut | |
| 700 | 1 | |a Pelosi |D Francesca |u Dipartimento di Matematica, Università di Roma "Tor Vergata”, Rome, Italy |4 aut | |
| 700 | 1 | |a Speleers |D Hendrik |u Dipartimento di Matematica, Università di Roma "Tor Vergata”, Rome, Italy |4 aut | |
| 773 | 0 | |t BIT Numerical Mathematics |d Springer Netherlands |g 55/3(2015-09-01), 751-779 |x 0006-3835 |q 55:3<751 |1 2015 |2 55 |o 10543 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10543-014-0530-0 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10543-014-0530-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lettieri |D Davide |u Dipartimento di Matematica, Università di Roma "Tor Vergata”, Rome, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Manni |D Carla |u Dipartimento di Matematica, Università di Roma "Tor Vergata”, Rome, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Pelosi |D Francesca |u Dipartimento di Matematica, Università di Roma "Tor Vergata”, Rome, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Speleers |D Hendrik |u Dipartimento di Matematica, Università di Roma "Tor Vergata”, Rome, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t BIT Numerical Mathematics |d Springer Netherlands |g 55/3(2015-09-01), 751-779 |x 0006-3835 |q 55:3<751 |1 2015 |2 55 |o 10543 | ||