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A general method for constructing quasi-interpolants from B-splines
2010
Journal of Computational and Applied Mathematics
A general method for constructing quasi-interpolation operators based on B-splines is developed. Given a B-spline φ in R s , s ≥ 1, normalized by i∈Z s φ (· − i) = 1, the classical structure Q (f ) := i∈Z s λf (· + i) φ (· − i), for a quasi-interpolation operator Q is considered. A minimization problem is derived from an estimate of the quasi-interpolation error associated with Q when λf is a linear combination of values of f at points in some neighbourhood of the support of φ; or a linear
doi:10.1016/j.cam.2010.01.017
fatcat:ubaxne7t6raw3bu47snbrrd4ma