[ REQ 5909]: Visualisation of an abstract surface

[munzner at cs.stanford.edu]

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From: Rodnay Guy <mergr at techunix.technion.ac.il>
To: munzner at CS
Subject: Visualisation of an abstract surface
Date: Thu, 6 Jun 1996 19:08:03 +0300 (IDT)



Dear Tamara Munzner,

I was browsing at the Geometry Center WWW site, and since you look so
friendly at your home page, I took the liberty to ask you a question. 
If you have no time to answer, I will thank you anyway...


First I would like to intreduce myself. I am an M.A student for Mechanical 
Engineering at the Technion (the Israel Institute of Technology). My 
mother tungue is hebrew so please bare with my poor english.


I have a problem which involves rendering of an abstract two dimensional
surface. By abstract surface I mean that I have a prametrisation of a two
dimensional reimanian manifold, which is not embeded in any ambient space.
That is, all I know is the intrisic geometry of the surface, I can mesure
the distance between any two points on the surface. 

I have managed to to embed the surface in a 6 dimensional space, and also
managed to find a isometric immersion in a 4 dimensional space.

What I need is a way to find an isometric immersion of the two dimensional
surface in a 3 dimensional space. A way which preserve distances
to view my surface. 


If you can help me, or know someone how can, I will be most thankfull.

All the best
Guy Rodany
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