Lionel Garnier on Muck Rack

Lionel Garnier

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Paris
As seen in: L' Agefi, MDPI
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Articles

How Null Vector Performs in a Rational Bézier Curve with Mass Points

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By Lionel Garnier Verified, Jean-Paul Bécar, Laurent Fuchs
| MDPI
1. Introduction In the CAD domain, polynomial Bézier curves [1,2,3] have evolved into rational curves, then into splines and B splines [4]; additionally, the CAM needs performant algorithms. Mainly, most of them are based on de Casteljau’s algorithm [5,6]. A Bézier curve is, naturally, the geometric locus of barycenters whose weights are either the Bernstein polynomials or these polynomials multiplied by a non-zero number.
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