Reduced-knot NURBS representations of rational \(G^ 1\) composite Bézier curves (Q1331427)
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scientific article; zbMATH DE number 622254
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reduced-knot NURBS representations of rational \(G^ 1\) composite Bézier curves |
scientific article; zbMATH DE number 622254 |
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Reduced-knot NURBS representations of rational \(G^ 1\) composite Bézier curves (English)
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28 February 1995
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It is known that a rational \(G^ 1\) composite Bézier curve of degree \(n\) can be represented as a nonuniform rational B-spline (NURBS) curve with knots of multiplicity \(n\). An algorithm is presented that reduces the degree of multiplicity of some knots to \(n-1\). This reduced-knot NURBS representation is based on a reparameterization of the Bézier curve segments. There is a tradeoff in the number of knots reduced and the quality of reparametrizations. The paper contains several examples and hints for application.
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knot reduction
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nonuniform rational B-spline curve
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NURBS representation
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Bézier curve
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0.8687456846237183
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0.8022364974021912
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0.7745986580848694
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