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"Rune" <run### [at] runevisioncom> wrote in news:3ffc172f$1@news.povray.org:
> Tor Olav Kristensen wrote:
>> But I now have a growing suspicion that it may not
>> be possible use bicubic Bezier patches to make such
>> a surface (that is completely smooth).
>
> I strongly suspect that too.
>
> This thread supports the suspicion:
> http://news.povray.org/povray.general/3084/
>
> That's why I was at one point so interested in bicubic patches with 3, 5
> and 6 edges, which is another approach to solving the topology problem.
I recall a faint memory of such a discussion in p.a.u.
But I didn't follow that thread very closely.
Maybe now would be a good time to read through it.
For you others, I found it here:
http://news.povray.org/povray.advanced-users/26671/
> The promising result can be seen here:
> http://news.povray.org/povray.binaries.animations/26690/
Yes, it looks good.
> My ultimate goal was quite similar to yours: To be able to define a list
> of points and a list of patches with corners in those points. Only
> difference was that exactly four patches had to meet in a point, but
> then the patches could have 3, 4, 5 or 6 edges. I abandoned it though -
> the triangular bicubic patch was coded by Micha Riser and improved by
> me. However, Micha Riser never coded similar patches for 5 and 6 edges,
> and I didn't understand the scientific papers on which the special
> bicubic patches were based, so I couldn't do it myself.
Can you please point me to thoses papers ?
Tor Olav
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