POV-Ray : Newsgroups : povray.binaries.animations : Some bivariate slices of rational Bezier trivariates : Re: Some bivariate slices of rational Bezier trivariates Server Time
30 Mar 2025 23:33:54 EDT (-0400)
  Re: Some bivariate slices of rational Bezier trivariates  
From: Bald Eagle
Date: 26 Mar 2025 10:30:00
Message: <web.67e40e727ae195056563700825979125@news.povray.org>
Hi TOK,
I'll have to wait until I'm home to access dataduppedings.no/

But in the meantime,

> The attached animation shows 5 x 3 = 15 animated bivariate patches.
> Each patch is drawn "within" a trivariate (u, v, w) whose control grid consists
> of 3x3x3 = 27 points.

So, they are quadratic Bezier surfaces?

> Each patch is drawn by varying both the v and w parameters of the trivariate
> from 0.0 to 1.0, while the animation clock, running from 0.0 to 1.0, is
> controlling the u parameter.

and then the u parameter gets interpolated between its 3 control points along an
"orthogonal" quadratic Bezier spline.  And I'm assuming that v and w are
parametric equations of u.



That's pretty cool.

Have you thought about geometrically inverting the patches to become a cylinder
or a cone?  :D


- BW


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