A \(C^ 2\)-quintic spline interpolation scheme on triangulation. (English) Zbl 0770.65005

Wang, Tianjun

Comput. Aided Geom. Des. 9, No. 5, 379-386 (1992).

The author presents an explicitly given quintic piecewise polynomial \(C^ 2\) interpolation scheme for triangular data. The scheme is obtained on the subdivided triangulation with the minimal split (each original triangle into 7 subtriangles). The paper thus gives an affirmative answer to a known question.

Reviewer: B.D.Bojanov (Sofia)

MSC:

65D07	Numerical computation using splines
65D05	Numerical interpolation
41A05	Interpolation in approximation theory
41A15	Spline approximation
41A63	Multidimensional problems (should also be assigned at least one other classification number from Section 41-XX)

Keywords:

bivariate interpolation; triangulation; minimal split; scattered data; quintic; spline function; Bernstein-Bézier form; Bézier net

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