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  2. Convex hull algorithms - Wikipedia

    en.wikipedia.org/wiki/Convex_hull_algorithms

    Dynamic convex hull maintenance: The input points may be sequentially inserted or deleted, and the convex hull must be updated after each insert/delete operation. Insertion of a point may increase the number of vertices of a convex hull at most by 1, while deletion may convert an n-vertex convex hull into an n-1-vertex one.

  3. Convex hull - Wikipedia

    en.wikipedia.org/wiki/Convex_hull

    In geometry, the convex hull, convex envelope or convex closure [1] of a shape is the smallest convex set that contains it. The convex hull may be defined either as the intersection of all convex sets containing a given subset of a Euclidean space, or equivalently as the set of all convex combinations of points in the subset.

  4. Minimum-weight triangulation - Wikipedia

    en.wikipedia.org/wiki/Minimum-weight_triangulation

    It is formed by an iterative process, in which two sets of edges are maintained, a set of edges known to belong to the minimum-weight triangulation and a set of edges that are candidates to belong to it. Initially, the set of known edges is initialized to the convex hull of the input, and all remaining pairs of vertices form candidate edges ...

  5. Convex hull of a simple polygon - Wikipedia

    en.wikipedia.org/wiki/Convex_hull_of_a_simple...

    When the clockwise traversal reaches the starting point, the algorithm is completed and the stack contains the convex hull vertices in clockwise order. Each step of the algorithm either pushes a vertex onto the stack or pops it from the stack, and each vertex is pushed and popped at most once, so the total time for the algorithm is linear.

  6. Integral polytope - Wikipedia

    en.wikipedia.org/wiki/Integral_polytope

    That is, it is a polytope that equals the convex hull of its integer points. [2] Integral polytopes are also called lattice polytopes or Z-polytopes . The special cases of two- and three-dimensional integral polytopes may be called polygons or polyhedra instead of polytopes, respectively.

  7. Convex polytope - Wikipedia

    en.wikipedia.org/wiki/Convex_polytope

    In the planar case, i.e., for a convex polygon, both facet and vertex enumeration problems amount to the ordering vertices (resp. edges) around the convex hull. It is a trivial task when the convex polygon is specified in a traditional way for polygons , i.e., by the ordered sequence of its vertices v 1 , … , v m {\displaystyle v_{1},\dots ,v ...

  8. Will Ferrell explains his viral Buddy the Elf look at hockey ...

    www.aol.com/ferrell-explains-viral-buddy-elf...

    Buddy the Elf got laid off, I think, from the North Pole. He’s having a pull from his beer. He’s smoking a cig,” Ferrell joked of his appearance at the game.

  9. Kinetic width - Wikipedia

    en.wikipedia.org/wiki/Kinetic_width

    Thus, using kinetic convex hull to maintain the upper and lower envelopes, a kinetic sorted list on these intervals to maintain the antipodal edge-vertex pairs, and a kinetic tournament to maintain the pair of minimum distance apart, the diameter of a moving point set can be maintained. This data structure is responsive, compact and efficient.