Approximation of quadratic Bézier curves by arc splines (Q1347173)
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scientific article; zbMATH DE number 739575
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of quadratic Bézier curves by arc splines |
scientific article; zbMATH DE number 739575 |
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Approximation of quadratic Bézier curves by arc splines (English)
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5 September 1995
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In a CAM-environment, tool paths are usually described by means of circular arcs and straight line segments, while in a CAD-environment, the objects are mostly designed by \(B\)-splines or Bézier curves. Therefore, there are needed methods for approximating given Bézier curves by piecewise arcs and line segments. The authors propose a method for finding a circular arc spline, which approximates a given quadratic Bézier curve up to a desired accuracy; they use bi-arcs which interpolate certain points on the given Bézier curve. Three numerical examples illustrate the proposed algorithm.
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CAM
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CAD
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\(B\)-spline
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Bézier curves
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piecewise arcs and line segments
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circular arc spline
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quadratic Bézier curve
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numerical examples
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algorithm
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