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  2. Line–line intersection - Wikipedia

    en.wikipedia.org/wiki/Lineline_intersection

    The intersection point falls within the first line segment if 0 ≤ t ≤ 1, and it falls within the second line segment if 0 ≤ u ≤ 1. These inequalities can be tested without the need for division, allowing rapid determination of the existence of any line segment intersection before calculating its exact point. [3]

  3. Intersection (geometry) - Wikipedia

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

    Intersection of two line segments. For two non-parallel line segments (,), (,) and (,), (,) there is not necessarily an intersection point (see diagram), because the intersection point (,) of the corresponding lines need not to be contained in the line segments.

  4. Bentley–Ottmann algorithm - Wikipedia

    en.wikipedia.org/wiki/Bentley–Ottmann_algorithm

    No two line segment endpoints or crossings have the same x-coordinate; No line segment endpoint lies upon another line segment; No three line segments intersect at a single point. In such a case, L will always intersect the input line segments in a set of points whose vertical ordering changes only at a finite set of discrete events ...

  5. Line segment - Wikipedia

    en.wikipedia.org/wiki/Line_segment

    A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. In geometry , a line segment is often denoted using an overline ( vinculum ) above the symbols for the two endpoints, such as in AB .

  6. 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.

  7. Secant line - Wikipedia

    en.wikipedia.org/wiki/Secant_line

    A straight line can intersect a circle at zero, one, or two points. A line with intersections at two points is called a secant line, at one point a tangent line and at no points an exterior line. A chord is the line segment that joins two distinct points of a circle. A chord is therefore contained in a unique secant line and each secant line ...

  8. Newton–Gauss line - Wikipedia

    en.wikipedia.org/wiki/Newton–Gauss_line

    This configuration consists of a total of six points, the intersection points of the four lines, with three points on each line and precisely two lines through each point. [1] These six points can be split into pairs so that the line segments determined by any pair do not intersect any of the given four lines except at the endpoints.

  9. 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.

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