Computing the unit normal on a degenerate edge (Q1195304)
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scientific article; zbMATH DE number 69291
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computing the unit normal on a degenerate edge |
scientific article; zbMATH DE number 69291 |
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Computing the unit normal on a degenerate edge (English)
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26 October 1992
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The authors note that on a degenerate edge \(u=a\) of an implicitely defined surface given by an analytic function \(F(u,v)=0\), one must have \(F(u,v)=(u-a)G(u,v)\) and therefore all computations about normals can be done on \(G\). [It is obvious that analyticity can be replaced by the existence of and approximating Taylor polynomial of sufficiently high order, the computations are essentially those of de l'Hospital].
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degenerate edge
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parametric surface
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surface normals
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0.7183831930160522
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0.716835618019104
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0.6906511187553406
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0.6664568781852722
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