Construction of a bivariate \(C^2\) septic quasi-interpolant using the blossoming approach
Quasi-interpolation is one of the most important tools in applied mathematics and in particular in approximation theory. The same applies to bi-variate piecewise polynomials (``splines''). A fundament for an approximation in two dimensions with splines is a triangulation, and in this paper quasi-interpolants with splines are constructed for general triangulations. They are restricted to septic splines and provide quasi-interpolants that are twice continuously differentiable. Several numerical examples are presented too.\N\NFor the entire collection see [Zbl 1531.91007].
scientific article; zbMATH DE number 7928373
scientific article