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A simplified B-spline computation routine

Ein vereinfachtes Verfahren zur B-Spline Berechnung

Abstract

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

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).

  2. [2]

    de Boor, C.: A practical guide to splines. Berlin-Heidelberg-New York: Springer 1978.

  3. [3]

    de Boor, C.: Package for calculating withB-splines. SIAM J. Numer. Anal14, 441–472 (1977).

  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.

  5. [5]

    de Boor, C.: On calculating withB-splines. J. Approx. Theory6, 50–62 (1972).

  6. [6]

    Cox, M. G.: The numerical evaluation ofB-splines. J. Inst. Math. Appl.10, 134–149 (1972).

  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).

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Lee, E.T.Y. A simplified B-spline computation routine. Computing 29, 365–371 (1982). https://doi.org/10.1007/BF02246763

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Keywords

  • Computational Mathematic
  • Simple Algorithm
  • Computation Routine