POV-Ray : Newsgroups : povray.advanced-users : how to use nurbs on povray?! : Re: how to use nurbs on povray?! Server Time
28 Jul 2024 10:31:36 EDT (-0400)
  Re: how to use nurbs on povray?!  
From: somebody
Date: 11 May 2006 21:30:45
Message: <4463e545$1@news.povray.org>
"Chambers" <ben### [at] pacificwebguycom> wrote

> AFAIK, Non-Rational Bicubic B-Splines (NURBS is singular, so would the
> plural be NURBSes?) is the popular name for what used to be popularly
> known as Bezier patches, named for the researcher who first published

No. Cubic Bezier splines are a special case of Bezier splines, which are a
special case of B-Splines, which are a special case of NURBS. With NURBS,
you can have

* arbitrary degrees
* arbitrary number of CVs, starting at degree+1
* concept of knots spans ("b-spline" part)
* arbitrary knot spacing ("non-uniform" part)
* arbitrary weights for each CV ("rational" part)

Surfaces are outer/tensor products of curves.


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