Numerically Stable Algorithm for Cycloidal Splines (CROSBI ID 136372)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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