Efficiently navigating a random Delaunay triangulation
نویسندگان
چکیده
منابع مشابه
Efficiently navigating a random Delaunay triangulation
Planar graph navigation is an important problem with significant implications to both point location in geometric data structures and routing in networks. However, whilst a number of algorithms and existence proofs have been proposed, very little analysis is available for the properties of the paths generated and the computational resources required to generate them under a random distribution ...
متن کاملOn the stabbing number of a random Delaunay triangulation
We consider a Delaunay triangulation defined on n points distributed independently and uniformly on a planar compact convex set of positive volume. Let the stabbing number be the maximal number of intersections between a line and edges of the triangulation. We show that the stabbing number Sn is Θ( √ n) in the mean, and provide tail bounds for P{Sn ≥ t √ n}. Applications to planar point locatio...
متن کاملFast and Efficient Restricted Delaunay Triangulation in Random Geometric Graphs
Let G = G(n, r) be a random geometric graph resulting from placing n nodes uniformly at random in the unit square (disk) and connecting every two nodes if and only if their Euclidean distance is at most r . Let rcon = q logn πn be the known critical radius guaranteeing connectivity when n → ∞. The Restricted Delaunay Graph RDG(G) is a subgraph of G with the following properties: it is a planar ...
متن کاملConstrained Delaunay Triangulation Using Delaunay Visibility
An algorithm for constructing constrained Delaunay triangulation (CDT) of a planar straight-line graph (PSLG) is presented. Although the uniform grid method can reduce the time cost of visibility determinations, the time needed to construct the CDT is still long. The algorithm proposed in this paper decreases the number of edges involved in the computation of visibility by replacing traditional...
متن کاملHexagonal Delaunay Triangulation
We present a novel and robust algorithm for triangulating point clouds in R. It is based on a highly adaptive hexagonal subdivision scheme of the input domain. That hexagon mesh has a dual triangular mesh with the following properties: • any angle of any triangle lies in the range between 43.9◦ and 90◦, • the aspect ratio of triangles is bound to 1.20787, • the triangulation has the Delaunay pr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Random Structures & Algorithms
سال: 2016
ISSN: 1042-9832
DOI: 10.1002/rsa.20630