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31 Jul 2024 12:13:11 EDT (-0400)
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From: Christopher James Huff
Subject: Re: (vector) sum of two objects
Date: 30 Apr 2003 10:10:11
Message: <cjameshuff-937186.10081830042003@netplex.aussie.org>
In article <r5lvavo37qbp1mreph4lq704ang28l28t7@4ax.com>,
 ABX <abx### [at] abxartpl> wrote:

> Ok, example: I have a set of points. The rule used to create this set is that
> all points of this set have the same distance from center and all points have
> their coordinates positive in value. So I can express this set as:
> 
>   A={ P(x,y,z) : x^2+y^2+z^2=distance^2 , x>0 , y>0 , z>0 }
> 
> I can easly "convert" it into isosurface, can't I?

Have you actually tried this for more than a few hundred points? You 
would be much better off with a blob. And you won't end up with an 
object with a surface going through that point.

-- 
Christopher James Huff <cja### [at] earthlinknet>
http://home.earthlink.net/~cjameshuff/
POV-Ray TAG: chr### [at] tagpovrayorg
http://tag.povray.org/


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From: ABX
Subject: Re: (vector) sum of two objects
Date: 30 Apr 2003 10:23:38
Message: <hbmvavsst1l8bc6fprek1cdbj89rg32rdq@4ax.com>
On Wed, 30 Apr 2003 10:08:19 -0400, Christopher James Huff
<cja### [at] earthlinknet> wrote:
> > Ok, example: I have a set of points. The rule used to create this set is that
> > all points of this set have the same distance from center and all points have
> > their coordinates positive in value. So I can express this set as:
> > 
> >   A={ P(x,y,z) : x^2+y^2+z^2=distance^2 , x>0 , y>0 , z>0 }
> > 
> > I can easly "convert" it into isosurface, can't I?
>
> Have you actually tried this for more than a few hundred points? You 
> would be much better off with a blob. And you won't end up with an 
> object with a surface going through that point.

It seems you somehow overcomplicated this subject in your mind. What I was
refering is simple moving function from set definition with typical rules of
combining http://www.econym.demon.co.uk/isotut/combine.htm :

isosurface{
  function{min(x*x+y*y+z*z-R*R,-x,-y,-z)}
  open
  ... // other isosurface syntax
}

Of course from the begining this is a scpecial case when set does not contain
enumerated list of points but infinite surfaces. EOT!

ABX


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