B-spline-Bézier representation of geometric spline curves: Quartics and quintics (Q1187798)
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scientific article; zbMATH DE number 39703
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | B-spline-Bézier representation of geometric spline curves: Quartics and quintics |
scientific article; zbMATH DE number 39703 |
Statements
B-spline-Bézier representation of geometric spline curves: Quartics and quintics (English)
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13 August 1992
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Quartic and quintic geometric \(B\)-splines with \(GC^ 3\) and \(GC^ 4\) continuity, respectively, are discussed. Two algorithms for computing parameters of these splines are provided. The convex hull, variation diminishing property, and the shape control are analyzed. An application to the tensor product surfaces is included.
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\(B\)-spline-Bézier representation
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geometrically continuous curves
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spline curves
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geometric continuity
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quartic and quintic geometric \(B\)- splines
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algorithms
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convex hull
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variation diminishing property
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shape control
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tensor product surfaces
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