Separating Axis Theorem
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. For objects lying in a plane (2-dimensional space), the separating axis theorem states that, given two convex shapes, there exists a line onto which their projections will be separate if and only if they are not intersecting. A line for which the objects have disjoint projections is called a separating axis. An equivalent way of stating the theorem is to say that two convex shapes in the plane are not intersecting if and only if a line can be placed with one shape to ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. For objects lying in a plane (2-dimensional space), the separating axis theorem states that, given two convex shapes, there exists a line onto which their projections will be separate if and only if they are not intersecting. A line for which the objects have disjoint projections is called a separating axis. An equivalent way of stating the theorem is to say that two convex shapes in the plane are not intersecting if and only if a line can be placed with one shape to one side of the line and the other side. Such a separating line will be perpendicular to a separating axis.
