Path: utzoo!utgpu!jarvis.csri.toronto.edu!mailrus!tut.cis.ohio-state.edu!ucbvax!agate!eos!jbm
From: jbm@eos.UUCP (Jeffrey Mulligan)
Newsgroups: comp.graphics
Subject: Re: n-Dimensional perspective rendering
Message-ID: <2912@eos.UUCP>
Date: 16 Mar 89 00:22:51 GMT
References: <1133@jhunix.HCF.JHU.EDU>
Organization: NASA Ames Research Center, California
Lines: 24

I'm going to commit the cardinal comp.graphics sin of replying
to a posting off the top of my head.

From article <1133@jhunix.HCF.JHU.EDU>, by c10_h006@jhunix.HCF.JHU.EDU (Stdnt 06):
> Does anyone know of an algorithm to project an arbitrarily
> large number of dimensions onto a plane in perspective? It
> seems logical that one could (with the exception of n=2)
> project any n dimensions to n-1,

What is the problem with n=2?  You can project the plane into a line;
for example you can project the plane through the origin
onto the line y=(-1) by: x'= -x/y.  Since in 3-D perspective you
divide by z, in n dimensions it would seem that you could just
divide by the coordinate along which you want to project.

As far as doing this iteratively to go from n dimensions to 2,
I would say you could do it, but I won't guess what it would "mean."


-- 

	Jeff Mulligan (jbm@aurora.arc.nasa.gov)
	NASA/Ames Research Ctr., Mail Stop 239-3, Moffet Field CA, 94035
	(415) 694-6290