Implicitizing rational surfaces of revolution using \(\mu \)-bases (Q448991)
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scientific article; zbMATH DE number 6080935
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Implicitizing rational surfaces of revolution using \(\mu \)-bases |
scientific article; zbMATH DE number 6080935 |
Statements
Implicitizing rational surfaces of revolution using \(\mu \)-bases (English)
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11 September 2012
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A new technique for implicitizing a rational surface of revolution using \(\mu\)-bases is provided. A degree \(n\) rational plane curve rotating around an axis generates a degree \(2n\) rational surface. It is shown that this \(\mu\)-basis is a powerful bridge connecting the parametric representation and the implicit representation of the surface of revolution. Examples are presented to illustrate a proposed method.
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implicitization
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\(\mu\)-basis
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resulting matrix
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numerical examples
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rational surface of revolution
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0.94672775
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0.9357695
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0.9261529
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0.9120247
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0.8984566
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0.8969676
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0.89593506
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0.89549935
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0.8942673
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