Bill,

We've looked at the VM solution as well.  I agree that they are
basically the same (the set we ran showed some variances around the
outer limits of the set of points).  However, I wouldn't say there are
no flaws if it doesn't work with unprojected coordinates unless they
document it as such.  

Any way, it looks like the answer is to use a State Plane or UTM system
for now.

Thanks,
Gary.

Bill Thoen wrote:
> 
> And so it seems with the Voronoi polygons. However, using a
> projected set of points, I got the exact same set of polygons
> using Vertical Mapper's "Natural Neighbor / Create Regions" menu
> option. I'm now pretty sure that there are no flaws in MapInfo's
> version.
> 
> I was mistaken earlier. Voronoi polygons are not drawn by
> connecting the centers of Delaunay triangles, but are made by
> connecting lines that perpendicularly bisect the sides of the
> triangles.
> 
> - Bill
> 
> "Warren Vick, Europa Technologies Ltd." wrote:
> >
> > Hello Bill,
> >
> > There seems to be several instances in Pro (or MapInfo technology in
> > general) where true spherical geometry is not used. As previously discussed
> > on the list, buffers (even specially Spherical ones) are also not based on
> > true spherical geometry.
> >
> > Regards,
> > Warren Vick
> > Europa Technologies Ltd.
> > http://www.europa-tech.com
> >
> > -----Original Message-----
> > From: Bill Thoen [mailto:[EMAIL PROTECTED]]
> > Sent: Friday, August 09, 2002 4:17 PM
> > To: Gary Schwartz
> > Cc: MapInfo-L
> > Subject: Re: MI-L Voronoi in MIPro 7.0
> >
> > After a second look, I think maybe you are right. There are still
> > some problems. Voronoi polygons are created by connecting the
> > centers of Delauney triangles, and it appears that this is not
> > happening with MapInfo's Voronoi function. I'm going to poke at this
> > a bit more...
> >
> > Gary Schwartz wrote:
> > >
> > > Has anyone taken a close look at the Voronoi polygons generated by MI
> > > Pro 7.0?  It looks to me like they are incorrect.  The line segments
> > > that comprise the polygons should perpendicularly bisect the lines
> > > connecting the nearest neighbor points.  However, they clearly do not.
> > > Is MapInfo using cartesian geometry to create these instead of
> > > spherical?  Any ideas?
> > >
> > > Thanks,
> > > Gary.
> > >
> > > --
> > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
> > > Gary Schwartz
> > > Director of Software Development
> > > Mapping Analytics
> > > 2 Graham Road West
> > > Ithaca, NY 14850
> > > (585) 271-6490
> > > [EMAIL PROTECTED]
> > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
> > >
> > > ---------------------------------------------------------------------
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> >
> > --
> > - Bill Thoen
> 
> --
> - Bill Thoen
> ------------------------------------------------------------
> GISnet, 1401 Walnut St., Suite C, Boulder, CO  80302
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-- 
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Gary Schwartz
Director of Software Development
Mapping Analytics
2 Graham Road West
Ithaca, NY 14850
(585) 271-6490
[EMAIL PROTECTED]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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