Intersection points of multiply lines?

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Hi,
In the last couple of days and nights I am trying to find a way to get the intersection points of 3 lines without any success since I encounter special cases (e.g., slope=0 or Inf, -Inf). Any idea how to get the intersection points that will work both on case 1 and case 2 (Visually presented in the attached image).
Thanks a lot in advance.

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Simon
Simon 2013-10-31
Hi!
Take a look at the great pages of Paul Bourke: http://paulbourke.net/. You can find a matlab code for the distance of two lines in 3d in section "The shortest line between two lines in 3D" on page http://paulbourke.net/geometry/pointlineplane/.
You can as well use 2d coordinates with the third entry 0. Then you just check every line against the others.

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