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method of subdivion is also used for the definition (construction)
of Bézier curves.
Gerhard
Am Freitag 11 Januar 2008 schrieb Pavel Boytchev:
> Mike, thanks for sending the images. What you've done is actually one of
> the methods for making smooth curves by cutting out each vertex.
>
> In 3D graphics this approach is often called "subdivision" and is
> used to smooth surfaces.
>
> Here is a circle produced by subdivision:
> http://jgt.akpeters.com/papers/NasriFarin01/FullCircle-d012.jpg
>
>
> And here is subdivision in 3D:
> http://plissken.fatalunity.com/tutorials/subdiv/graphics/bild1.jpg
> http://www.lomont.org/Software/Graphics/SubdivisionSurfaces/Subdivisi
>onBig.png
>
>
> PS. Starting from a rectangle, a subdivision can produce a variety of
> ellipse-like curves. It can produce curves which are something
> between rectangle and ellipse (you have to change 0.428...)
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