line-segments-intersect | See if two line segments
kandi X-RAY | line-segments-intersect Summary
kandi X-RAY | line-segments-intersect Summary
See if two line segments intersect or not. This uses the vector cross product approach described here: This derives its algorithm from: "Intersection of two lines in three-space" by Ronald Goldman. I have included the unit tests I put together in the index html as an example.
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QUESTION
I've implemented line segment intersection formula from GeeksForGeeks.It works great, but I also need to know the point of intersection of these 2 line segments. How can I modify the code to do that? (C++)
First comes the Point class (just a 2d Vector really)
...ANSWER
Answered 2019-Oct-29 at 10:38You just need to implement one of the equations found in this wiki.
In the following code i chose to implement the first equation
QUESTION
I have a a line segment AB
(2d) from point A
to point B
. For the representation of a coastline
(closed polygon, 3*10^3 vertices), I have a NumPy
array (2d) of points which start and end at the same point. I want to know, if the connection between point A
and B
intersects the coastline.
My first approach was to iterate over each line segment of the closed polygon and check if it intersects with AB
. Here is the underlying method.
Even if I do this working with NumPy
arrays or translating the function with cython
, it is not fast enough, because I have to do it a lot of times for different A
s and B
s.
I thought, this may be a conceptual problem and I was wondering, if there is a smarter way to check only, if at least one intersection exists (True
/False
)?
I tried to use shapely
as well. But this was kind of slow.
ANSWER
Answered 2018-Aug-17 at 21:48This is a collision detection problem.
So in your case the best is to put your coastline inside one spatial datastrcture such as bsp-tree, quad-tree, aabb-tree, etc.
Then perform intersection between your line segment and the tree-structure.
See for instance CGAL AABB_tree: https://doc.cgal.org/latest/AABB_tree/index.html
That library is for 3D but the same idea works for 2D. You can embedd almost any geometry inside aabbtree and query line intersection very fast
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