Re: BitMap form

• To: mathgroup at smc.vnet.net
• Subject: [mg4104] Re: BitMap form
• From: Harald Berndt <haraldb at nature.berkeley.edu>
• Date: Tue, 4 Jun 1996 02:19:03 -0400
• Organization: University of California Forest Products Lab
• Sender: owner-wri-mathgroup at wolfram.com

```Dale E. Newbury wrote:
>
>         I wish to model a structure using a BitMap form, with Mathematica.
> This is different than the normal vector space that Mathematica functions
> in.  I searched for help in Mathematica Textbooks and Journals and I have
> even tried my luck at Mathemtica Programming, but to no success.  I was
> wondering if you had any advice to send my way or if you knew how to solve
> this BitMap problem.
>         To elaborate on the kind of BitMap that I am looking to create, I
> would like to create both 2dimensional and 3dimensional bitmaps,with
> different surfaces and/or solids represented by different numbers.  Thanks
>
> Sincerely,
> John Kessler
>
> (301)9752552
> s315928 at gettysburg.edu
>
> Note that this message is being sent from my place of summer employment.
> Messages can be sent back to this e-mail address at NIST:
> dale.newbury at nist.gov

This question appeared twice in my current browse of the newsgroup, so
I thought I'll give it a whirl:

I'm not sure I understand what "modeling a structure in bitmap form"
means, but I propose the definition "sampled on a finite grid." So, an
n-dimensional bitmap is simply an n-dimensional array. To build them,
sample the function in question (e.g. using the Table[] function). To
display 2D bitmaps, use ListDensityPlot (very vesatile function,
that!). For 3D bitmaps (the datapoints would be voxels, in the
jargon), one needs to improvise. In Mathematica itself, Tom
Wickham-Jones' ListDensityPlot3D (I think) works under some
circumstances. I have written (well, hacked. It's rough but it works)
a function for writing 3D data arrays to files that Spyglass Dicer can
read. Then I use Dicer for image creation and manipulation.

I hope this helps. If I missed the point regarding your particular
problem, e-mail me.
--
_______________________________________________________________
Harald Berndt                          University of California
Research Specialist                  Forest Products Laboratory
Phone: 510-215-4224                            FAX:510-215-4299
_______________________________________________________________

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