Piecewise parametric approximations for algebraic curves (Q1113264)
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scientific article; zbMATH DE number 4080737
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Piecewise parametric approximations for algebraic curves |
scientific article; zbMATH DE number 4080737 |
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Piecewise parametric approximations for algebraic curves (English)
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1989
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The authors present algorithms to approximate higher order algebraic curves by piecewise rational curves which then can be parametrized (cf. \textit{Camille Jordan}, Cours d'Analyze, 2nd ed., Gauthier-Villars Paris 1893, Vol. 1, Section 607-612). For nonsingular curves the procedure admits a manageable form of error control. For singularities, they propose resolution by quadratic transformations. The practical implementation of a computer analysis of higher singularities is not attempted.
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higher order algebraic curves
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piecewise rational curves
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nonsingular curves
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error control
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quadratic transformations
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