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  Basic Distance questions  (Read 2162 times)
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Offline Mojomonkey

Senior Devvie




ooh ooh eee eeee


« Posted 2003-12-04 14:59:37 »

I am having trouble finding a couple equations.

The distance between a point and a triangle (defined by three points) and the distance between a ray and a triangle. I know, I know, I should know this, but I don't and I google is letting me down.

Don't send a man to do a monkey's work.
Offline crystalsquid

Junior Devvie




... Boing ...


« Reply #1 - Posted 2003-12-04 15:24:24 »

Distance between point (P) and tri is easy...

Take the face normal of the tri ( verts v1,v2,v3):

   myVector n = (v2-v1).crossProduct( v3 - v1 );
   n.normalize();

Then just take tha absolute dot product this with the vector from any tri point to the point in question:

float dist = fabs( n.dotProduct( P - v1 ) );

Distance from a line to a tri is much more complicated, I would google for effecient algorithms for it.

- Dom

Correction - On second thoughts, this won't do at all Sad This just gives the distance from a plane. Sry... Ill look up the distance from a tri instead...

Ok... Its really not nice.
Heres a link to the theory:

http://www-compsci.swan.ac.uk/~csmark/PDFS/dist.pdf

Heres a link to some source that does it (not java):

http://xengine.sourceforge.net/docs/structXEngine_1_1Math_1_1DistanceAlgorithms_1_1DistancePointToTriangle.html

Hope this helps
Offline Mojomonkey

Senior Devvie




ooh ooh eee eeee


« Reply #2 - Posted 2003-12-04 18:49:06 »

God help me... thanks.

Don't send a man to do a monkey's work.
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