On de Boor-like algorithms and blossoming (Q1110980)
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scientific article; zbMATH DE number 4074306
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On de Boor-like algorithms and blossoming |
scientific article; zbMATH DE number 4074306 |
Statements
On de Boor-like algorithms and blossoming (English)
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1988
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Die Algorithmen von de Casteljau (für Bézier-Kurven), de Boor (B- Spline-Kurven), Aitken (Lagrange-Polynome) und Goldman (Polya-Kurven) haben eine gemeinsame Struktur; insbesondere werden bei jedem Schritt Konvexkombinationen von jeweils zwei Punkten berechnet. Für diese Struktur werden in der vorliegenden Arbeit geometrische Interpretationen diskutiert.
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Bézier curves
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spline curves
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linear interpolation
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algorithms
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tensor products
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multiaffine mappings
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Bézier manifolds
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de Casteljou algorithm
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de Boor algorithm
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Aitken algorithm
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Goldman algorithm
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Polya curves
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