Efficient Construction of Emergency Network Using Delaunay Triangulation

Constrained 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...

Efficient Swarm Neighborhood Management Using the Layered Delaunay Triangulation

Robot Motion Using Delaunay Triangulation

Robot motion is nowadays studied from a lot of different perspectives. This paper is based on the assumption of a fully known environment, allowing the supervisor to plan the robot trajectory before the actual motion. The auxiliary structure we mainly use is the Delaunay triangulation. We analyze the implementation details, as well as the limits of the geometrical model we use.

Construction Of the Constrained Delaunay Triangulation Of A Polygonal Domain

A fast and easy to implement divide-and-conquer algorithm is presented for the construction of the Constrained Delaunay triangulation of a polygonal domain. The algorithm simplifies the complicated merging step inherent to divide-and-conquer algorithms for the computation of triangulations. Furthermore, no triangles are computed outside the valid region of the domain. A grid structure accelerat...

Delaunay Triangulation of Manifolds

We present an algorithmic framework for producing Delaunay triangulations of manifolds. The input to the algorithm is a set of sample points together with coordinate patches indexed by those points. The transition functions between nearby coordinate patches are required to be bi-Lipschitz with a constant close to 1. The primary novelty of the framework is that it can accommodate abstract manifo...