In this paper a strategy is presented to construct a shape-preserving quasi-interpolant function expressed as a linear combination of quadratic splines with local support where the coefficients are given by the data. The quasi-interpolant is shown to be linear-reproducing, monotone and/or convex conforming to the data.
P_1-reproducing, Shape- preserving Quasi-Interpolant Using Positive Quadratic Splines with Local Support / C. CONTI; R. MORANDI; C. RABUT. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - STAMPA. - 104:(1999), pp. 111-122.
P_1-reproducing, Shape- preserving Quasi-Interpolant Using Positive Quadratic Splines with Local Support
CONTI, COSTANZA;MORANDI, ROSSANA;
1999
Abstract
In this paper a strategy is presented to construct a shape-preserving quasi-interpolant function expressed as a linear combination of quadratic splines with local support where the coefficients are given by the data. The quasi-interpolant is shown to be linear-reproducing, monotone and/or convex conforming to the data.
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