About the Project



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1: 24.17 Mathematical Applications
§24.17(ii) Spline Functions
Euler Splines
The functions …are called Euler splines of degree n . …
Bernoulli Monosplines
2: Publications
  • B. V. Saunders and Q. Wang (2006) From B-Spline Mesh Generation to Effective Visualizations for the NIST Digital Library of Mathematical Functions, in Curve and Surface Design, Proceedings of the Sixth International Conference on Curves and Surfaces, Avignon, France June 29–July 5, 2006, pp. 235–243. PDF
  • B. Saunders and Q. Wang (2010) Tensor Product B-Spline Mesh Generation for Accurate Surface Visualizations in the NIST Digital Library of Mathematical Functions, in Mathematical Methods for Curves and Surfaces, Proceedings of the 2008 International Conference on Mathematical Methods for Curves and Surfaces (MMCS 2008), Lecture Notes in Computer Science, Vol. 5862, (M. Dæhlen, M. Floater., T. Lyche, J. L. Merrien, K. Mørken, L. L. Schumaker, eds), Springer, Berlin, Heidelberg (2010) pp. 385–393. PDF
  • 3: 3.11 Approximation Techniques
    §3.11(vi) Splines
    Splines are defined piecewise and usually by low-degree polynomials. …By taking more derivatives into account, the smoothness of the spline will increase. … A complete spline results by composing several Bézier curves. …See Knuth (1986, pp. 116-136).
    4: 3.3 Interpolation
    §3.3(vi) Other Interpolation Methods
    For Hermite interpolation, trigonometric interpolation, spline interpolation, rational interpolation (by using continued fractions), interpolation based on Chebyshev points, and bivariate interpolation, see Bulirsch and Rutishauser (1968), Davis (1975, pp. 27–31), and Mason and Handscomb (2003, Chapter 6). …
    5: Bibliography S
  • I. J. Schoenberg (1973) Cardinal Spline Interpolation. Society for Industrial and Applied Mathematics, Philadelphia, PA.
  • L. L. Schumaker (1981) Spline Functions: Basic Theory. John Wiley & Sons Inc., New York.
  • 6: Bibliography D
  • C. de Boor (2001) A Practical Guide to Splines. Revised edition, Applied Mathematical Sciences, Vol. 27, Springer-Verlag, New York.
  • 7: Bibliography C
  • C. K. Chui (1988) Multivariate Splines. CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 54, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
  • 8: Bibliography M
  • D. S. Meek and D. J. Walton (1992) Clothoid spline transition spirals. Math. Comp. 59 (199), pp. 117–133.