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Numerically Stable Algorithm for Cycloidal Splines (CROSBI ID 136372)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Bosner, Tina ; Rogina, Mladen Numerically Stable Algorithm for Cycloidal Splines // Annali dellNULLUniversità di Ferrara. Sezione 7: Scienze matematiche, 53 (2007), 2; 189-197. doi: 10.1007/s11565-007-0016-y

Podaci o odgovornosti

Bosner, Tina ; Rogina, Mladen

engleski

Numerically Stable Algorithm for Cycloidal Splines

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.

Chebyshev theory ; cycloidal splines ; knot insertion ; generalized de Boor algorithm

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Podaci o izdanju

53 (2)

2007.

189-197

objavljeno

0430-3202

1827-1510

10.1007/s11565-007-0016-y

Povezanost rada

Matematika

Poveznice
Indeksiranost