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Construction of C 2 Pythagorean-hodograph interpolating splines by the homotopy method. (English) Zbl 0866.65008
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.

MSC:
65D07Splines (numerical methods)
65D05Interpolation (numerical methods)
41A15Spline approximation
References:
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