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3D Model of a Bitmap

• To: mathgroup at smc.vnet.net
• Subject: [mg105444] 3D Model of a Bitmap
• From: Tobias Baumann <ttobsen at hotmail.com>
• Date: Thu, 3 Dec 2009 06:13:09 -0500 (EST)

Hello

I have a complicated problem and I don't know whether it is doable.

I've got an Bitmap containing a power profile of a laserbeam (i.e. 
cross-profile). If I plot this profile with ArrayPlot it would look like 
this

    |
    |
-------
    |
    |

Now I want to make an three dimensional model of this imported bitmap, 
to show it with Graphics3D, with a given height.

I think one solution can be to transform every pixel in coordinates for 
the 3D-Plot and take this coordinate and build with Cuboid[] my desired 
body. You can imagine that every pixel, should now be a long cuboid. But 
I have bitmaps with 200x200 pixels or more, so I need 40000 cuboids and 
that's much too slow for my project.

Is there any other possibility to create an three dimensional body with 
constant high and the topview as image information?

I also have an interpolated function of my laserprofile, which looks 
like: LaserProfile[x,y]. I put in the coordinates and get out the power 
values if the laser has some at (x,y) and zero if not.

Thanks a lot!

Cheers Tobias

PS: I hope my english is understandable. If not I try to make some 
better sentences.

• Follow-Ups:
  • Re: 3D Model of a Bitmap
    • From: Patrick Scheibe <pscheibe@trm.uni-leipzig.de>