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MathGroup Archive 1994

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Re: surface generation using an irregular set of points

  • To: mathgroup at christensen.cybernetics.net
  • Subject: Re: surface generation using an irregular set of points
  • From: glgesm at engr.psu.edu (Gary L. Gray)
  • Date: Mon, 24 Oct 1994 10:59:13 -0400

> Hello,
>
> I have the following problem:
>
> The surface of a three-dimensional biological object has been
> measured by measuring the (three-dimensional) coordinates of several hundred
> points.
>
> The points were chosen from curves on the surface, but the
> number, position, and length of the curves is irregular.
>
> I would like to generate a triangulation of the surface
> so that it can be displayed, and would then like to
> carry out further computations, such as calculating
> the normal to the surface.
>
> Suggestions about suitable software would be welcome.
>
> In particular, is there software available which can generate a
> triangulation of a surface given a list of points on the
> surface?
>

You should be able to do this with Mathematica using

        TriangularSurfacePlot[]

in the DiscreteMath`ComputationalGeometry` package. TriangularSurfacePlot
plots a surface using the Delaunay triangulation. See the "Guide to
Standard Mathematica Packages."

Best regards,

--
Gary L. Gray                     |  (814) 863-1778
Assistant Professor              |  (814) 863-7967 (fax)
Engineering Science & Mechanics  |  glgesm at engr.psu.edu
Penn State University            |  AOL: GLGray







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