Hermite \(G^1\) rational spline motion of degree six (Q403084)
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scientific article; zbMATH DE number 6335807
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hermite \(G^1\) rational spline motion of degree six |
scientific article; zbMATH DE number 6335807 |
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Hermite \(G^1\) rational spline motion of degree six (English)
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29 August 2014
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The author presents a construction of a \(G^1\) continuous Hermite rational spline motion of degree 6. This motion interpolates 3 positions and 3 derivative data at every rational segment. First, a rotational part of the motion is constructed and then the translational part is added. An explicit solution of nonlinear equations that determine the rotational part of the motion is derived. Numerical examples show that the obtained motions have nice shapes.
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motion design
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rational spline motion
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geometric continuity
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geometric interpolation
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computer graphics
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path planning
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numerical examples
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