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1: 24.17 Mathematical Applications

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§24.17(ii) Spline Functions

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Euler Splines

… ►The functions …are called Euler splines of degree $n$. … ►

Bernoulli Monosplines

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2: Publications

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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.

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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.

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3: 3.11 Approximation Techniques

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§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

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§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

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Cardinal Spline Interpolation. Society for Industrial and Applied Mathematics, Philadelphia, PA.

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Notes:

Conference Board of the Mathematical Sciences Regional Conference Series in Applied Mathematics, No. 12

External Links:

MathReview (H. L. Loeb), ZentralBlatt

Referenced by:

§24.17(ii).

Encodings:

BibTeX

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Spline Functions: Basic Theory. John Wiley & Sons Inc., New York.

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Notes:

Pure and Applied Mathematics, A Wiley-Interscience Publication. Reprinted by Robert E. Krieger Publishing Co. Inc., 1993.

External Links:

ISBN 0-471-76475-2, MathReview (D. D. Stancu), ZentralBlatt

Referenced by:

§24.17(ii), §3.11(vi).

Encodings:

BibTeX

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6: Bibliography D

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A Practical Guide to Splines. Revised edition, Applied Mathematical Sciences, Vol. 27, Springer-Verlag, New York.

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External Links:

ISBN 0-387-95366-3, MathReview (Gerlind Plonka-Hoch), ZentralBlatt

Referenced by:

§3.11(vi).

Encodings:

BibTeX

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7: Bibliography C

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Multivariate Splines. CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 54, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.

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Notes:

With an appendix by Harvey Diamond

External Links:

ISBN 0-89871-226-2, MathReview (B. Boyanov), ZentralBlatt

Referenced by:

§3.11(vi).

Encodings:

BibTeX

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8: Bibliography M

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Clothoid spline transition spirals. Math. Comp. 59 (199), pp. 117–133.

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External Links:

ISSN 0025-5718, Document, MathReview, ZentralBlatt

Referenced by:

§7.21.

Encodings:

BibTeX

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