Naslov
Stable Algorithm for Calculating with Q-splines

Autori
Bosner, Tina ; Rogina, Mladen

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Applied MAthematics and Computation / Rogina, M.; Hari, V.;Limić, N. - Zagreb : Dept. of Mathematics, University of Zagreb, 2001, 99-105

Skup
Applied Mathematics and Computation

Mjesto i datum
Dubrovnik, Hrvatska, 13.09.1999. - 18.09.1999

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
T-spline; Q-spline; Knot insertion

Sažetak
We are using a technique to calculate with Tchebycheffian splines of order $\le 4$, based on the known derivative formula for Tchebycheffian splines and Oslo type algorithm, to produce simple formul\ae for qB-splines developed by Kulkarni and Laurent. Starting with the known fact that local basis for $q$-splines of order 3 and 4 can be evaluated by making positive linear combinations of less smooth, one order higher polynomial B-splines, we deduce a simple and stable algorithm for such splines. It is an interesting fact in itself, that the coefficients in such linear combinations are discrete Tchebycheffian splines, and therefore make a partition of unity. The same is true for qB-splines themselves.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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