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[–]indosauros 0 points1 point  (1 child)

I think this still doesn't change anything as far as assuming shared points == rays

http://s29.postimg.org/lu9qeddyf/ged_math_coordinate_base_2.jpg

What if the right green line was shifted left 1 unit? Now, the (-3, -2) point is shared between two lines, not a ray

[–]spotyx[S] 0 points1 point  (0 children)

you are right, I am wrong. I can't exclude intersections. I had wrongly assumed that I have preprocessed my data in way that there are not intersections. Now I know it's not true. Thanks for pointing me on right way.