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Find intersection point of two lines when I have their coordinates ?

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Suman Debnath
Suman Debnath 2017-5-20
评论： Dimitar Slavchev 2021-3-18
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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Suman Debnath
Suman Debnath 2017-5-22
John, I did it. But I think the equation is too long. So, I just wanted to know if there is any short form of that or not.
Jan
Jan 2017-5-22
@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
Roger Stafford 2017-5-23
编辑：Roger Stafford 2017-5-23
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.
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Dimitar Slavchev
Dimitar Slavchev 2021-3-18
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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