Line-cylinder Intersection
Line-cylinder intersection is the calculation of any points of Intersection (geometry), intersection, given an analytic geometry description of a Line (geometry), line and a Cylinder (geometry), cylinder in 3d space. An arbitrary line and cylinder may have no intersection at all. Or there may be one or two points of intersection. Or a line may lie along the surface of a cylinder, parallel to its axis, resulting in infinitely many points of intersection. The method described here distinguishes between these cases, and when intersections exist, computes their positions. The term “cylinder” can refer to a Solid geometry, three-dimensional solid or, as in this article, only the curved external Surface#In mathematics, surface of the solid. This is why a line piercing a cylinder's volume is considered to have two points of intersection: the surface point where it enters and the one where it leaves. See #End caps, § end caps. A key intuition of this sort of intersection problem is ...
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