Line and rectangle intersection
I have a rectangle and a line segment inside the rectangle, and the line can be extended on both sides. I know the coordinates of the rectangle's four vertices as well as the line's two vertices.
I try to write a function that would return the coordinates of the two intersection points of the line segment and the rectangle. The language I am using is python. The problem is that I am not sure which side of the rectangle the line would intersect with. So it makes my function to be extremely complex, and I am not sure if I've covered all the cases or not.
Is there an algorithm for me to do this?
python polygon graph-algorithm intersection line-intersection
asked Nov 22 '18 at 20:36
YhqjlyrYhqjlyr
11
add a comment |
I have a rectangle and a line segment inside the rectangle, and the line can be extended on both sides. I know the coordinates of the rectangle's four vertices as well as the line's two vertices.
I try to write a function that would return the coordinates of the two intersection points of the line segment and the rectangle. The language I am using is python. The problem is that I am not sure which side of the rectangle the line would intersect with. So it makes my function to be extremely complex, and I am not sure if I've covered all the cases or not.
Is there an algorithm for me to do this?
python polygon graph-algorithm intersection line-intersection
asked Nov 22 '18 at 20:36
YhqjlyrYhqjlyr
11
Is the rectangle axis-aligned?
– John Anderson
Nov 22 '18 at 20:38
solve it with all four and check the allowed intervals
– Nimish Bansal
Nov 22 '18 at 20:38
Yes, the rectangle is axis-aligned
– Yhqjlyr
Nov 22 '18 at 20:40
Do you mean to compute the "possible intersection pts" first for each line, and then check if they are in the legal interval?
– Yhqjlyr
Nov 22 '18 at 20:47
Write a routine that finds the intersection, if any, of a line segment with a line that contains another segment. Call that routine four times. This reduces the complexity of the code.
– Rory Daulton
Nov 22 '18 at 20:48
add a comment |
I have a rectangle and a line segment inside the rectangle, and the line can be extended on both sides. I know the coordinates of the rectangle's four vertices as well as the line's two vertices.
I try to write a function that would return the coordinates of the two intersection points of the line segment and the rectangle. The language I am using is python. The problem is that I am not sure which side of the rectangle the line would intersect with. So it makes my function to be extremely complex, and I am not sure if I've covered all the cases or not.
Is there an algorithm for me to do this?
python polygon graph-algorithm intersection line-intersection
asked Nov 22 '18 at 20:36
YhqjlyrYhqjlyr
11
I have a rectangle and a line segment inside the rectangle, and the line can be extended on both sides. I know the coordinates of the rectangle's four vertices as well as the line's two vertices.
I try to write a function that would return the coordinates of the two intersection points of the line segment and the rectangle. The language I am using is python. The problem is that I am not sure which side of the rectangle the line would intersect with. So it makes my function to be extremely complex, and I am not sure if I've covered all the cases or not.
Is there an algorithm for me to do this?
python polygon graph-algorithm intersection line-intersection
python polygon graph-algorithm intersection line-intersection
asked Nov 22 '18 at 20:36
YhqjlyrYhqjlyr
11
asked Nov 22 '18 at 20:36
YhqjlyrYhqjlyr
11
asked Nov 22 '18 at 20:36
YhqjlyrYhqjlyr
11
asked Nov 22 '18 at 20:36
YhqjlyrYhqjlyr
11
asked Nov 22 '18 at 20:36
YhqjlyrYhqjlyr
11
11
Is the rectangle axis-aligned?
– John Anderson
Nov 22 '18 at 20:38
solve it with all four and check the allowed intervals
– Nimish Bansal
Nov 22 '18 at 20:38
Yes, the rectangle is axis-aligned
– Yhqjlyr
Nov 22 '18 at 20:40
Do you mean to compute the "possible intersection pts" first for each line, and then check if they are in the legal interval?
– Yhqjlyr
Nov 22 '18 at 20:47
Write a routine that finds the intersection, if any, of a line segment with a line that contains another segment. Call that routine four times. This reduces the complexity of the code.
– Rory Daulton
Nov 22 '18 at 20:48
add a comment |
Is the rectangle axis-aligned?
– John Anderson
Nov 22 '18 at 20:38
solve it with all four and check the allowed intervals
– Nimish Bansal
Nov 22 '18 at 20:38
Yes, the rectangle is axis-aligned
– Yhqjlyr
Nov 22 '18 at 20:40
Do you mean to compute the "possible intersection pts" first for each line, and then check if they are in the legal interval?
– Yhqjlyr
Nov 22 '18 at 20:47
Write a routine that finds the intersection, if any, of a line segment with a line that contains another segment. Call that routine four times. This reduces the complexity of the code.
– Rory Daulton
Nov 22 '18 at 20:48
Is the rectangle axis-aligned?
– John Anderson
Nov 22 '18 at 20:38
Is the rectangle axis-aligned?
– John Anderson
Nov 22 '18 at 20:38
solve it with all four and check the allowed intervals
– Nimish Bansal
Nov 22 '18 at 20:38
solve it with all four and check the allowed intervals
– Nimish Bansal
Nov 22 '18 at 20:38
Yes, the rectangle is axis-aligned
– Yhqjlyr
Nov 22 '18 at 20:40
Yes, the rectangle is axis-aligned
– Yhqjlyr
Nov 22 '18 at 20:40
Do you mean to compute the "possible intersection pts" first for each line, and then check if they are in the legal interval?
– Yhqjlyr
Nov 22 '18 at 20:47
Do you mean to compute the "possible intersection pts" first for each line, and then check if they are in the legal interval?
– Yhqjlyr
Nov 22 '18 at 20:47
Write a routine that finds the intersection, if any, of a line segment with a line that contains another segment. Call that routine four times. This reduces the complexity of the code.
– Rory Daulton
Nov 22 '18 at 20:48
Write a routine that finds the intersection, if any, of a line segment with a line that contains another segment. Call that routine four times. This reduces the complexity of the code.
– Rory Daulton
Nov 22 '18 at 20:48
add a comment |
1 Answer
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votes
Your rectangle can be characterized as xmin, xmax, ymin, and ymax. Find the equation of your line (see this). Then solve your line for each of xmin, xmax, ymin, and ymax.
Eliminate solutions that have x < xmin or x > xmax or y < ymin or y > ymax.
answered Nov 22 '18 at 20:57
John AndersonJohn Anderson
2,9851515
add a comment |
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1 Answer
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active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
Your rectangle can be characterized as xmin, xmax, ymin, and ymax. Find the equation of your line (see this). Then solve your line for each of xmin, xmax, ymin, and ymax.
Eliminate solutions that have x < xmin or x > xmax or y < ymin or y > ymax.
answered Nov 22 '18 at 20:57
John AndersonJohn Anderson
2,9851515
add a comment |
Your rectangle can be characterized as xmin, xmax, ymin, and ymax. Find the equation of your line (see this). Then solve your line for each of xmin, xmax, ymin, and ymax.
Eliminate solutions that have x < xmin or x > xmax or y < ymin or y > ymax.
answered Nov 22 '18 at 20:57
John AndersonJohn Anderson
2,9851515
add a comment |
Your rectangle can be characterized as xmin, xmax, ymin, and ymax. Find the equation of your line (see this). Then solve your line for each of xmin, xmax, ymin, and ymax.
Eliminate solutions that have x < xmin or x > xmax or y < ymin or y > ymax.
answered Nov 22 '18 at 20:57
John AndersonJohn Anderson
2,9851515
Your rectangle can be characterized as xmin, xmax, ymin, and ymax. Find the equation of your line (see this). Then solve your line for each of xmin, xmax, ymin, and ymax.
Eliminate solutions that have x < xmin or x > xmax or y < ymin or y > ymax.
answered Nov 22 '18 at 20:57
John AndersonJohn Anderson
2,9851515
answered Nov 22 '18 at 20:57
John AndersonJohn Anderson
2,9851515
answered Nov 22 '18 at 20:57
John AndersonJohn Anderson
2,9851515
answered Nov 22 '18 at 20:57
John AndersonJohn Anderson
2,9851515
2,9851515
add a comment |
add a comment |
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Is the rectangle axis-aligned?
– John Anderson
Nov 22 '18 at 20:38
solve it with all four and check the allowed intervals
– Nimish Bansal
Nov 22 '18 at 20:38
Yes, the rectangle is axis-aligned
– Yhqjlyr
Nov 22 '18 at 20:40
Do you mean to compute the "possible intersection pts" first for each line, and then check if they are in the legal interval?
– Yhqjlyr
Nov 22 '18 at 20:47
Write a routine that finds the intersection, if any, of a line segment with a line that contains another segment. Call that routine four times. This reduces the complexity of the code.
– Rory Daulton
Nov 22 '18 at 20:48