Re: [Algorithms] C1 vs G1 (Was: "N-Patches")
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From: Lorenzo P. <lp...@ti...> - 2000-07-28 10:35:22
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> >> I don't thing there is any meaning of "G0". > >For two segment curves it means they join together, G0 is "geometric > >continuity". > >If directions (but non necessarily the magnitudes) of the two segments' > >tangent vectors are equal at joing point, the curve has G1. > >For more details check out Foley Van-dam. 480-483 > > Are you sure? That is saying that G0 == C0, which makes me slightly > uncomfortable given than Gn!=Cn for n>0. I'm sure that Gn!=Cn for n>1 ... but I'm confused about C0 and G0. did you check the reference ? there's another from "Curves and surfaces for computer aided geometric design" Farin's one. page 183 Geometric continuity: "A curve is said to be Gr if there exists a regular reparametrization after which it is Cr" So what about C0 and G0 ? TIA, Lorenzo Pallara |