Construction of a bivariate \(C^2\) septic quasi-interpolant using the blossoming approach (Q6621042)
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scientific article; zbMATH DE number 7928373
| Language | Label | Description | Also known as |
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| English | Construction of a bivariate \(C^2\) septic quasi-interpolant using the blossoming approach |
scientific article; zbMATH DE number 7928373 |
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Construction of a bivariate \(C^2\) septic quasi-interpolant using the blossoming approach (English)
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17 October 2024
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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].
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quasi-interpolation
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splines
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bi-variate
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