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How to convert a flat scan of a 3D object, into a 3D picture in cylindrical coordinates?

• To: mathgroup at smc.vnet.net
• Subject: [mg47643] How to convert a flat scan of a 3D object, into a 3D picture in cylindrical coordinates?
• From: gilmar.rodriguez at nwfwmd.state.fl.us (Gilmar Rodr?guez Pierluissi)
• Date: Tue, 20 Apr 2004 03:18:46 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Please; double-click the following internet links:

http://www.tilmarlily.netfirms.com/download/Abe3D.txt
http://www.tilmarlily.netfirms.com/download/Abe3D.xls

to download:

(1.) the text file: "Abe3D.txt" and,
(2.) an Excel spreadsheet: "Abe3D.xls".

The file "Abe3D.txt" is data obtained by scanning the surface of a
bust of Abraham Lincoln.  This file contains a 95 X 73 array of
values.  Each line of longitude was smoothened using a cubic spline,
and the whole array can be used to draw a (rough) 3D picture of the
bust.
You can view this picture by opening the spreadsheet Abe3D.xls,
and opening the Excel chart in it.  Notice that the image of "Abe"
(for short)
is flat; i.e. similar to a Mercator map of the World.  My question is:
How can I build a 3D picture of Abe, using cylindrical coordinates,
so that the new picture looks like the real bust of Abe, and a person
can rotate the picture of the bust in 3D?
Thank you for your help!

• Follow-Ups:
  • Re: How to convert a flat scan of a 3D object, into a 3D picture in cylindrical coordinates?
    • From: Christopher Purcell <christopherpurcell@mac.com>