\(C^ 1\) trivariate polynomial interpolation (Q1099573)
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scientific article; zbMATH DE number 4041137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^ 1\) trivariate polynomial interpolation |
scientific article; zbMATH DE number 4041137 |
Statements
\(C^ 1\) trivariate polynomial interpolation (English)
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1987
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By using monomial bases which triangularize the Vandermonde matrix, a trivariate polynomial of degree nine interpolating to data on a tetrahedron is constructed. This polynomial can be used to define a continuously differentiable piecewise function on an arbitrary triangulated domain in \(R^ 3\). An example was given to test the interpolant.
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interpolation
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tetrahedron
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continuously differentiable
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Vandermonde matrix
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trivariate polynomial
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