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  2. Line–line intersection - Wikipedia

    en.wikipedia.org/wiki/Lineline_intersection

    Two intersecting lines. In Euclidean geometry, the intersection of a line and a line can be the empty set, a point, or another line.Distinguishing these cases and finding the intersection have uses, for example, in computer graphics, motion planning, and collision detection.

  3. Intersection (geometry) - Wikipedia

    en.wikipedia.org/wiki/Intersection_(geometry)

    In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces). The simplest case in Euclidean geometry is the lineline intersection between two distinct lines , which either is one point (sometimes called a vertex ) or does not exist (if the lines are parallel ).

  4. Line-cylinder intersection - Wikipedia

    en.wikipedia.org/wiki/Line-cylinder_intersection

    Green line has two intersections. Yellow line lies tangent to the cylinder, so has infinitely many points of intersection. Line-cylinder intersection is the calculation of any points of intersection, given an analytic geometry description of a line and a cylinder in 3d space. An arbitrary line and cylinder may have no intersection at all.

  5. Multiple line segment intersection - Wikipedia

    en.wikipedia.org/wiki/Multiple_line_segment...

    The Shamos–Hoey algorithm [1] applies this principle to solve the line segment intersection detection problem, as stated above, of determining whether or not a set of line segments has an intersection; the Bentley–Ottmann algorithm works by the same principle to list all intersections in logarithmic time per intersection.

  6. Point in polygon - Wikipedia

    en.wikipedia.org/wiki/Point_in_polygon

    Most implementations of the ray casting algorithm consecutively check intersections of a ray with all sides of the polygon in turn. In this case the following problem must be addressed. If the ray passes exactly through a vertex of a polygon, then it will intersect 2 segments at their endpoints. While it is OK for the case of the topmost vertex ...

  7. Line–plane intersection - Wikipedia

    en.wikipedia.org/wiki/Line–plane_intersection

    The three possible plane-line relationships in three dimensions. (Shown in each case is only a portion of the plane, which extends infinitely far.) In analytic geometry, the intersection of a line and a plane in three-dimensional space can be the empty set, a point, or a line. It is the entire line if that line is embedded in the plane, and is ...

  8. Coplanarity - Wikipedia

    en.wikipedia.org/wiki/Coplanarity

    This occurs if the lines are parallel, or if they intersect each other. Two lines that are not coplanar are called skew lines . Distance geometry provides a solution technique for the problem of determining whether a set of points is coplanar, knowing only the distances between them.

  9. Intersection - Wikipedia

    en.wikipedia.org/wiki/Intersection

    The intersection (red) of two disks (white and red with black boundaries). The circle (black) intersects the line (purple) in two points (red). The disk (yellow) intersects the line in the line segment between the two red points. The intersection of D and E is shown in grayish purple. The intersection of A with any of B, C, D, or E is the empty ...