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On some recent methods for bivariate shape-preserving interpolation. (English) Zbl 0707.41001
Multivariate approximation and interpolation, Proc. Int. Workshop, Duisburg/FRG 1989, ISNM Int. Ser. Numer. Math. 94, 55-68 (1990).

Summary: [For the entire collection see Zbl 0703.00022.]

The purpose of this paper is to give a brief illustration of two methods for the shape-preserving interpolation of 2-D data on rectangular grids, starting from their common univariate basis. In addition, their convergence properties are discussed.

MSC:
41A05Interpolation (approximations and expansions)