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Curved knot lines and surfaces with ruled segments

Part of the Lecture Notes in Mathematics book series (LNM,volume 912)

Keywords

  • Arithmetic Progression
  • Straight Line Segment
  • Observation Equation
  • Straight Segment
  • Spline Curve

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References

  1. Cox, M.G. The numerical evaluation of B-splines. J. Inst. Maths Applics, 10, 134–149, 1972.

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  2. Cox, M.G. The incorporation of boundary constraints in spline approximation problems. Lecture Notes in Mathematics 630: Numerical Analysis, ed. by G.A. Watson, Springer-Verlag, Berlin, 51–63, 1978.

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  3. Curry, H.B. and Schoenberg, I.J. On Pólya frequency functions IV: the fundamental spline functions and their limits. J. Analyse Math., 17, 71–107, 1966.

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  4. De Boor, C. On calculating with B-splines. J. Approximation Theory, 6, 50–62, 1972.

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  5. Greville, T.N.E. On the normalization of the B-splines and the location of the nodes for the case of unequally spaced knots. Inequalities, ed. by O. Shisha, Academic Press, New York and London, 286–290, 1967.

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  6. Hayes, J.G. and Halliday, J. The least-squares fitting of cubic spline surfaces to general data sets. J. Inst. Maths Applics, 14, 89–103, 1974.

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  7. Hayes, J.G. New shapes from bicubic splines. Proceedings CAD 74, Imperial College, London. IPC Business Press, Guildford, fiche 36G/37A, 1974. Also, National Physical Laboratory Report NAC 58, 1974.

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© 1982 Springer-Verlag

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Hayes, J.G. (1982). Curved knot lines and surfaces with ruled segments. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 912. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093154

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  • DOI: https://doi.org/10.1007/BFb0093154

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11199-3

  • Online ISBN: 978-3-540-39009-1

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