POV-Ray: Newsgroups: povray.general: Transform to a spline without loop-de-loops: Re: Transform to a spline without loop-de-loops

POV-Ray : Newsgroups : povray.general : Transform to a spline without loop-de-loops : Re: Transform to a spline without loop-de-loops		Server Time 29 Jul 2024 14:24:23 EDT (-0400)

From: clipka
Date: 12 Mar 2011 12:08:09
Message: <4d7ba879$1@news.povray.org>

Am 12.03.2011 15:06, schrieb gregjohn:
> What causes the "singular" matrix error in Shear_Trans?  If it is that it is
> unable to shear from<a,b,c>  to<a,b,c>, then isn't it possible to add some
> "epsilons" to the matrix and prevent that problem?

That wouldn't really be a reliable solution - because any epsilon you 
might add would just shift the problem to other parameter combinations.

AFAIK, a "singular" matrix error indicates that the generated matrix 
represents a transformation that collapses the resulting object from 3D 
to 2D - in other words, a shearing transformation where either (a) one 
of the new axes is zero, (b) two of the new axes are collinear, or (c) 
the three new axes are coplanar (i.e. lie in the same plane).

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