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MathGroup Archive 1998

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Q: Quantitative 3D Polygon rendering in Mathematica?

  • To: mathgroup at
  • Subject: [mg13522] Q: Quantitative 3D Polygon rendering in Mathematica?
  • From: franki at
  • Date: Fri, 31 Jul 1998 04:33:33 -0400
  • Organization: Deja News - The Leader in Internet Discussion
  • Sender: owner-wri-mathgroup at


First, preliminaries:  1.  Please email responses to me and I will post
summary of replies.  2.  follow-up summary posting group will be (since this is crossposted).

Can anyone provide me either a Mathematica notebook or package, or some
guidance on how to use Mathematica to address the following problem?

Given a collection of 3D polygons (which defines some object), I'd like
to use Mathematica to render an image (given a particular viewpoint and
upvector). My ultimate goal is to apply my own shading function to each
of the visible polygons, i.e., compute a quantitative physical radiance
image from radiometric 1st principles. (I have my own reflectance and
illumination models). Essentially, I want to use some set of
Mathematica functionality as the hidden surface engine.

What I need from this engine minimally would be the list of visible
polygons, with projected unobscured (i.e., "clipped") areas.  If
Mathematica doesn't allow me to provide identity numbers to these
polygons, I'd then like the visible polygon list to provide the clipped
polygon definitions as projected onto the viewing plane.  Even better
would be the additional ability to define a variably sized pixel raster
(X,Y) overlaid onto the projection plane, and derive a report of how
much of each pixel (i,j) in the raster is filled by which polygon.

Any pointers would be appreciated!!


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