Computing

, Volume 29, Issue 4, pp 365–371

A simplified B-spline computation routine

  • E. T. Y. Lee
Short Communications

Abstract

A simple algorithm is presented for computing the value together with all derivatives up to a specified order of aB-spline series.

Ein vereinfachtes Verfahren zur B-Spline Berechnung

Zusammenfassung

Ein einfacher Algorithmus zur gleichzeitigen Berechnung der Werte und der Ableitungen höherer Ordnung eiňerB-Spline-Reihe wird untersucht.

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References

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    Boehm, W.: Inserting new knots intoB-spline curves. Computer Aided Design12, 199–201 (1980).Google Scholar
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    de Boor, C.: A practical guide to splines. Berlin-Heidelberg-New York: Springer 1978.Google Scholar
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    de Boor, C.: Package for calculating withB-splines. SIAM J. Numer. Anal14, 441–472 (1977).Google Scholar
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    de Boor, C.: Splines as linear combinations ofB-splines: A survey. In: Approximation Theory II (Lorentz, G. G., Chui, C. K., Schumaker, L., eds.), pp. 1–47. Academic Press 1976.Google Scholar
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    de Boor, C.: On calculating withB-splines. J. Approx. Theory6, 50–62 (1972).Google Scholar
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    Cox, M. G.: The numerical evaluation ofB-splines. J. Inst. Math. Appl.10, 134–149 (1972).Google Scholar
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    Cohen, E., Lyche, T., Riesenfeld, R.: DiscreteB-splines and subdivision techniques in computer-aided geometric design and computer graphics. Computer Graphics and Image Processing14, 87–111 (1980).Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • E. T. Y. Lee
    • 1
  1. 1.Boeing Commercial Airplane CompanySeattleUSA

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