POV-Ray: Newsgroups: povray.general: Bicubic patch with 3 corners ?: Re: Bicubic patch with 3 corners ?

POV-Ray : Newsgroups : povray.general : Bicubic patch with 3 corners ? : Re: Bicubic patch with 3 corners ?		Server Time 8 Aug 2024 14:23:56 EDT (-0400)

From: Ron Parker
Date: 7 Dec 2000 14:29:51
Message: <slrn92vp9h.s4l.ron.parker@fwi.com>

On Thu, 7 Dec 2000 18:54:31 +0100, Rune wrote:
>I have learned myself how to handcode bicubic patches that fits seamlessly
>together. However, I never get the result I want when I try to make a patch
>where two of the corners lie in the same point.

I think it's a difficult problem to solve in the general case without 
introducing "folds."

>Say I want to make a unit-sphere made of 8 bicubic patches. Could you show
>me what one of those patches would look like in POV-code? It doesn't have to
>be a 100% perfect sphere, but I don't want any "folds" anywhere.

I'd cheat and make it out of 10 bicubic patches: 8 in the obvious places and
another 2 at the poles.  Somewhat like a beach ball.

-- 
Ron Parker   http://www2.fwi.com/~parkerr/traces.html
My opinions.  Mine.  Not anyone else's.

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