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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. Distance from a point to a line - Wikipedia

    en.wikipedia.org/.../Distance_from_a_point_to_a_line

    The line with equation ax + by + c = 0 has slope -a/b, so any line perpendicular to it will have slope b/a (the negative reciprocal). Let (m, n) be the point of intersection of the line ax + by + c = 0 and the line perpendicular to it which passes through the point (x 0, y 0). The line through these two points is perpendicular to the original ...

  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. Null coalescing operator - Wikipedia

    en.wikipedia.org/wiki/Null_coalescing_operator

    The null coalescing operator is a binary operator that is part of the syntax for a basic conditional expression in several programming languages, such as (in alphabetical order): C# [1] since version 2.0, [2] Dart [3] since version 1.12.0, [4] PHP since version 7.0.0, [5] Perl since version 5.10 as logical defined-or, [6] PowerShell since 7.0.0, [7] and Swift [8] as nil-coalescing operator.

  6. Collision detection - Wikipedia

    en.wikipedia.org/wiki/Collision_detection

    Collision between two objects is computed by computing intersection between the bounding volumes of the root of the tree as there are collision we dive into the sub-trees that intersect. Exact collisions between the actual objects, or its parts (often triangles of a triangle mesh ) need to be computed only between intersecting leaves. [ 7 ]

  7. Boolean operations on polygons - Wikipedia

    en.wikipedia.org/wiki/Boolean_operations_on_polygons

    Klamer Schutte's Clippoly, a polygon clipper written in C++. Michael Leonov's poly_Boolean, a C++ library, which extends the Schutte algorithm. Angus Johnson's Clipper, an open-source freeware library (written in Delphi, C++ and C#) that's based on the Vatti algorithm. clipper2 crate, a safe Rust wrapper for Angus Johnson's Clipper2 library.

  8. Line clipping - Wikipedia

    en.wikipedia.org/wiki/Line_clipping

    The Nicholl–Lee–Nicholl algorithm is a fast line-clipping algorithm that reduces the chances of clipping a single line segment multiple times, as may happen in the Cohen–Sutherland algorithm. The clipping window is divided into a number of different areas, depending on the position of the initial point of the line to be clipped.

  9. Liang–Barsky algorithm - Wikipedia

    en.wikipedia.org/wiki/Liang–Barsky_algorithm

    In computer graphics, the Liang–Barsky algorithm (named after You-Dong Liang and Brian A. Barsky) is a line clipping algorithm. The Liang–Barsky algorithm uses the parametric equation of a line and inequalities describing the range of the clipping window to determine the intersections between the line and the clip window.