Necessary and sufficient conditions for rational quartic representation of conic sections (Q875168)
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scientific article; zbMATH DE number 5141777
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Necessary and sufficient conditions for rational quartic representation of conic sections |
scientific article; zbMATH DE number 5141777 |
Statements
Necessary and sufficient conditions for rational quartic representation of conic sections (English)
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11 April 2007
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Necessary and sufficient conditions for degree-reducible and improperly parameterized rational quartic Bézier curves to represent conic sections are derived. The inverse problem is also considered, i.e., for a given conic section, the set of control points and weights is determined so that the corresponding rational quartic Bézier curve represents this section.
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rational quartic Bézier curve
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conic section
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degree-reducible
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improperly parameterized
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inverse problem
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