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The bidimensional interproximation problem and mixed splines. (English) Zbl 1010.65006

Summary: Interproximation methods for surfaces can be used to construct a smooth surface interpolating some data points and passing through specified regions. In this paper we study the use of mixed splines, that is smoothing splines with additional interpolation constraints, to solve the interproximation problem for surfaces in the case of scattered data. The solution is obtained by solving a linear system whose structure can be improved by using “bell-shaped” thin plate splines.

MSC:

65D07 Numerical computation using splines
65D05 Numerical interpolation
65D17 Computer-aided design (modeling of curves and surfaces)
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