A geometric orthogonal projection strategy for computing the minimum distance between a point and a spatial parametric curve (Q1736768)
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scientific article; zbMATH DE number 7042324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A geometric orthogonal projection strategy for computing the minimum distance between a point and a spatial parametric curve |
scientific article; zbMATH DE number 7042324 |
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A geometric orthogonal projection strategy for computing the minimum distance between a point and a spatial parametric curve (English)
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26 March 2019
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Summary: A new orthogonal projection method for computing the minimum distance between a point and a spatial parametric curve is presented. It consists of a geometric iteration which converges faster than the existing Newton's method, and it is insensitive to the choice of initial values. We prove that projecting a point onto a spatial parametric curve under the method is globally second-order convergence.
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point projection
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Newton's method
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global convergence
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osculating sphere
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osculating circle
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convergence analysis
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