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Computing

, Volume 29, Issue 4, pp 365–371 | Cite as

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.

Keywords

Computational Mathematic Simple Algorithm Computation Routine 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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

  1. [1]
    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
  4. [4]
    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
  5. [5]
    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
  7. [7]
    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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