A bivariate shape-preserving quasi-interpolant method with positive compactly supported bases
Using the approach presented in [5] for the univariate case, in this paper we present a strategy to construct a bivariate quasi-interpolant shape-preserving and P(1)-reproducing scheme based on positive compactly supported basis functions. The proposed quasi-interpolant method linearly combines such bases with coefficients simply given by the data.
shape-preserving quasi-interpolation polynomial reproduction compact support bases