POV-Ray : Newsgroups : povray.binaries.images : Made from a Coons patch : Made from a Coons patch Server Time
24 Jun 2026 17:53:08 EDT (-0400)
  Made from a Coons patch  
From: Tor Olav Kristensen
Date: 31 May 2026 12:30:00
Message: <web.6a1c61076b93ffd927b9d23589db30a9@news.povray.org>
I recently stumbled upon a web course on CAGD by Leonardo Fernandez-Jambrina and

https://dcain.etsin.upm.es/~leonardo/eindex.html

What caught my attention was chapter 6, where Coons patches are explained.

I found it interesting that if a Coons patch is made by Bezier curves
along its edges, then one can make a Bezier control grid for the same
patch by doing degree elevation on its control grids.

Once one have such a Bezier control grid, one can use it to find the
partial derivatives of the surface. The cross product of these gives the
surface normal.

When one have the surface normal, one can create offset surfaces. And
offset surfaces are the foundation for the triangle meshes in this image.

--
Tor Olav
http://subcube.com
https://github.com/t-o-k


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