Rectangle intersection with a Line Segment

Algorithm

- For each line segment that your rectangle could be intersecting with, - do the following: -

- For each corner of your rectangle, check if the distance from that point to the line is less than some epsilon, where epsilon is a reasonable small number (usually a 1 or 2 units, depending on the size of your lines). -
- To check each point, use the "distance from point to line segment" formula, which can be found here (I will not derive it just yet) -
- If a collision is found, we have all of the information required to solve the collision: -
- - Collision Normal: This is the perpendicular to the line segment, which can be found by: - - -Vector2 getNormalToLineSegment(LineSegment* segment) { - Vector2 direction = segment->end - segment->start; - return *Vector2 { -direction.y, direction.x }).normalize(); -} - - -
- - First Point of Application: Get the vector from the center of the rectangle (most like your position) to the corner which intersected. -
- - Second Point of Application: Get vector from center of line to the corner which intersected. -
-

- - -

- -