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Pregled bibliografske jedinice broj: 321254

Časopis

Autori: Bosner, Tina; Rogina, Mladen
Naslov: Numerically Stable Algorithm for Cycloidal Splines
( Numerically Stable Algorithm for Cycloidal Splines )
Izvornik: Annali dell'Università di Ferrara. Sezione 7: Scienze matematiche (0430-3202) 53 (2007), 2; 189-197
Vrsta rada: članak
Ključne riječi: Chebyshev theory; cycloidal splines; knot insertion; generalized de Boor algorithm
( Chebyshev theory; cycloidal splines; knot insertion; generalized de Boor algorithm )
Sažetak:
We propose a knot insertion algorithm for splines that are piecewisely in L{; ; ; 1, x, sin(x), cos(x)}; ; ; . Since an ECC-system on [0, 2*pi] in this case does not exist, we construct a CCC--system by choosing the appropriate measures in the canonical representation. In this way, a B-basis can be constructed in much the same way as for weighted and tension splines. Thus we develop a corner cutting algorithm for lower order cycloidal curves, though a straightforward generalization to higher order curves, where ECC-systems exist, is more complex. The important feature of the algorithm is high numerical stability and simple implementation.
Projekt / tema: 037-1193086-2771
Izvorni jezik: eng
Rad je indeksiran u
bazama podataka:
Scopus
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL Internet adrese: http://www.springer.com/math/journal/11565
Broj citata:
Altmetric:
DOI: 10.1007/s11565-007-0016-y
URL cjelovitog teksta:
Google Scholar: Numerically Stable Algorithm for Cycloidal Splines
Upisao u CROSBI: Tina Bosner (tinab@math.hr), 8. Vel. 2008. u 17:23 sati



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