POV-Ray : Newsgroups : povray.advanced-users : bicubic bezier and hermite patches : Re: bicubic bezier and hermite patches Server Time
28 Jul 2024 20:32:03 EDT (-0400)
  Re: bicubic bezier and hermite patches  
From: andrel
Date: 9 Mar 2004 17:32:55
Message: <404E45E7.3040809@hotmail.com>
Dave Matthews wrote:
> 
> 
> andrel wrote:
> 
>> Perhaps I should add that I am a bit lazy and have not
>> done the inversion by hand. I used a program to do
>> it for me.
>>
>>     Andrel
> 
> 
> Come on!  What's happened to people these days?  Why, I remember when I 
> used to invert a dozen 16x16 matrices by hand before breakfast! ;-)
Well, these the good old days. Although to be honest I think I could
just invert a 6 by 6 by hand before breakfast and even then I would
have made a few sign mistakes.

> (Thanks for the explanation, by the way.  I'd also (amazingly) wondered 
> about this a while back, then put it on the shelf, where it got lost 
> amongst many other dusty things.)

My pleasure. On the subject of Hermite patches: because they are
defined in the cornerpoints, it is trivial to align them. For that 
reason I think they merit perhaps more attention in this group.
On the other hand, as all descriptions of bicubic patches (Bezier,
Hermite and e.g. specifying 16 actual points) result in the same
surface, perhaps a macro package will be sufficient.

	Andrel


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