Nonnegative quadratic Bézier triangular patches (Q1315813)
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scientific article; zbMATH DE number 516611
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonnegative quadratic Bézier triangular patches |
scientific article; zbMATH DE number 516611 |
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Nonnegative quadratic Bézier triangular patches (English)
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17 April 1994
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A quadratic triangular Bézier patch is positive, i.e., the surface represented by the patch will not cross the plane of the triangle at interior points of the triangle, if a certain 3-by-3 symmetric matrix is copositive [cf. \textit{K. P. Hadeler}, Linear Algebra Appl. 49, 79-89 (1983; Zbl 0506.15016)]. In this particular lowdimensional case the authors give a complete algebraic characterization without using matrix theory.
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quadratic triangular Bézier patch
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positive
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surface
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algebraic characterization
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