Re: DelaunayTriangulation[] output

• To: mathgroup at smc.vnet.net
• Subject: [mg83211] Re: DelaunayTriangulation[] output
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Thu, 15 Nov 2007 05:35:22 -0500 (EST)
• Organization: Uni Leipzig
• References: <fhegn1\$m6p\$1@smc.vnet.net>

```Hi,

don't use DelaunyTriangulation[].
triangulation for the data and
points = Table[{Random[], Random[]}, {100}];

data = ListPlot3D[Append[#, 0] & /@ points, Mesh -> All];
Cases[data, _GraphicsComplex, Infinity] /.
GraphicsComplex[pnts_, pdata_, ___] :> {Most /@ pnts,
Cases[pdata, _Polygon, Infinity][[1]] /. Polygon[lst_] :> lst}

will produce a list
{points,{vertexNumbersOfTheFirstTriangle,vertexNumbersOfTheSecondTriangle,...}}

Regards
Jens

Dominick wrote:
> Hi guys I was wondering if you could                      help me with a couple of problems im having.                    I'm writing a program that when given two images it creates a morph in between them.The algorithm im implementing uses control points i choose on the image and them triangulates the the images using those control points.I then use the subsquent triangles to create a 1 to 1 correspondance between the 2 images. Im using the DelaunayTriangulation[] command  to do the triangulation for me.Well my problem is the output of DelaunayTriangulation. I need a triangle list ie;
>
>
>                            i  j k
>                            1  5 2
>                            2  3 7
>                            . . .
>
>
>        where i,j,k are the vertices of the triangle
>   but DelaunayTriangulation outputs an adjacency list ie
>
>
>
>       { {i,{points that are connected to i},..}
>
>
> I was wondering if anyone knew how to convert this list to the triangle based list i need.If i get this figured out then 90%+ of the program is done.I appreciate any help.
>

```

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