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  2. Delaunay triangulation - Wikipedia

    en.wikipedia.org/wiki/Delaunay_triangulation

    The closest neighbor b to any point p is on an edge bp in the Delaunay triangulation since the nearest neighbor graph is a subgraph of the Delaunay triangulation. The Delaunay triangulation is a geometric spanner : In the plane ( d = 2 ), the shortest path between two vertices, along Delaunay edges, is known to be no longer than 1.998 times the ...

  3. Constrained Delaunay triangulation - Wikipedia

    en.wikipedia.org/wiki/Constrained_Delaunay...

    The input to the constrained Delaunay triangulation problem is a planar straight-line graph, a set of points and non-crossing line segments in the plane.The constrained Delaunay triangulation of this input is a triangulation of its convex hull, including all of the input segments as edges, and using only the vertices of the input.

  4. Delaunay refinement - Wikipedia

    en.wikipedia.org/wiki/Delaunay_refinement

    The algorithm begins with a constrained Delaunay triangulation of the input vertices. At each step, the circumcenter of a poor-quality triangle is inserted into the triangulation with one exception: If the circumcenter lies on the opposite side of an input segment as the poor quality triangle, the midpoint of the segment is inserted. Moreover ...

  5. Point-set triangulation - Wikipedia

    en.wikipedia.org/wiki/Point-set_triangulation

    The Delaunay triangulation of a set of points in the plane contains the Gabriel graph, the nearest neighbor graph and the minimal spanning tree of . Triangulations have a number of applications, and there is an interest to find the "good" triangulations of a given point set under some criteria as, for instance minimum-weight triangulations .

  6. Polygon triangulation - Wikipedia

    en.wikipedia.org/wiki/Polygon_triangulation

    Polygon triangulation. In computational geometry, polygon triangulation is the partition of a polygonal area (simple polygon) P into a set of triangles, [1] i.e., finding a set of triangles with pairwise non-intersecting interiors whose union is P. Triangulations may be viewed as special cases of planar straight-line graphs.

  7. Voronoi diagram - Wikipedia

    en.wikipedia.org/wiki/Voronoi_diagram

    Bowyer–Watson algorithm, an O(n log(n)) to O(n 2) algorithm for generating a Delaunay triangulation in any number of dimensions, can be used in an indirect algorithm for the Voronoi diagram. The Jump Flooding Algorithm can generate approximate Voronoi diagrams in constant time and is suited for use on commodity graphics hardware.

  8. Man arrested after allegedly lighting 34-acre brushfire in ...

    www.aol.com/news/man-arrested-allegedly-lighting...

    The fire burned 34 acres, but forward progress was stopped around 3:30 p.m., the San Bernardino County Fire Department said.. A man was taken into custody and charged with two felony charges ...

  9. Kinetic triangulation - Wikipedia

    en.wikipedia.org/wiki/Kinetic_triangulation

    The Delaunay triangulation seems like a natural candidate, but a tight worst-case analysis of the number of discrete changes that will occur to the Delaunay triangulation (external events) was considered an open problem until 2015; [3] it has now been bounded to be between () [4] and (+).