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Zbl 0866.65008
Albrecht, Gudrun; Farouki, Rida T.
Construction of $C\sp 2$ Pythagorean-hodograph interpolating splines by the homotopy method. (English)
[J] Adv. Comput. Math. 5, No.4, 417-442 (1996). ISSN 1019-7168; ISSN 1572-9044/e

$C^2$ Pythagorean-hodograph interpolating splines are investigated. The authors demonstrate how to set up a system of quadratic equations that insure the prescribed continuity of the spline interpolant. The analysis of the solution set of this system is presented in detail. Numerical examples are included.
[E.Neuman (Carbondale)]

MSC 2000:: *65D07 Splines (numerical methods)
65D05 Interpolation (numerical methods)
41A15 Spline approximation

Keywords: homotopy method; numerical examples; Pythagorean-hodograph interpolating splines

Cited in: Zbl 1172.65311

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