Find intersection point of two lines when I have their coordinates ?
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Suman Debnath
am 20 Mai 2017
Kommentiert: Dimitar Slavchev
am 18 Mär. 2021
I have four COORDINATES of two lines - [x1,y1], [x2,y2], [x3,y3], [x4,y4]. Now, how to get the coordinate of their intersecting point [x,y] ? Any help ??
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Jan
am 22 Mai 2017
@Suman: Yes, there is a short form. Did you read the link posted by John? This is an exhaustive solution already. Making an effort means also, to ask an internet search engine.
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Roger Stafford
am 23 Mai 2017
Bearbeitet: Roger Stafford
am 23 Mai 2017
The result of the three steps I mentioned would be:
xy = [x1*y2-x2*y1,x3*y4-x4*y3]/[y2-y1,y4-y3;-(x2-x1),-(x4-x3)];
I don’t consider that too long or complicated an expression. The xy variable here is a 1-by-2 vector consisting of the x and y coordinates of the intersection.
1 Kommentar
Dimitar Slavchev
am 18 Mär. 2021
For the edge cases:
Where the two lines are the same line you will get NaNs:
>> LineIntersect(0,0,1,1,0,0,1,1)
Warning: Matrix is singular to working precision.
> In LineIntersect (line 11)
ans =
NaN NaN
And for parallel lines, Infinity:
>> LineIntersect(0,0,1,1,0,1,1,2)
Warning: Matrix is singular to working precision.
> In LineIntersect (line 11)
ans =
-Inf -Inf
LineIntersect is just the above formula from Roger Stafford inside a function. The line is 11, because of comments.
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