Skip to main content
Log in

A simplified B-spline computation routine

Ein vereinfachtes Verfahren zur B-Spline Berechnung

  • Short Communications
  • Published:
Computing Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Boehm, W.: Inserting new knots intoB-spline curves. Computer Aided Design12, 199–201 (1980).

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  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 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02246763

Keywords

Navigation