delaunay triangulation การใช้

• Constrained Delaunay Triangulation has found applications in path planning in automated driving
• Computing either the Delaunay triangulation or the Voronoi diagram takes time.
• It is straightforward to maintain Delaunay triangulations based on convex shapes.
• However point sets with no Pitteway triangulation will still have a Delaunay triangulation.
• A very efficient algorithm for parallel Delaunay triangulations appears in Blelloch et al.
• In mathematics, a Voronoi diagram is a dual to its Delaunay triangulation.
• The Delaunay triangulation is a tessellation that is the dual graph of a Voronoi tessellation.
• By considering circumscribed spheres, the notion of Delaunay triangulation extends to three and higher dimensions.
• However, in these cases a Delaunay triangulation is not guaranteed to exist or be unique.
• A Delaunay triangulation is another way to create a triangulation based on a set of points.
• For some graphs, such as Delaunay triangulations, both metric and topological properties are of importance.
• In particular, the Delaunay triangulation avoids narrow triangles ( as they have large circumcircles compared to their area ).
• Sweephull is a hybrid technique for 2D Delaunay triangulation that uses a radially propagating sweep-hull, and a flipping algorithm.
• It works by adding points, one at a time, to a valid Delaunay triangulation of a subset of the desired points.
• The analysis on 3D random Delaunay triangulation was done by Mucke, Saias and Zhu ( ACM Symposium of Computational Geometry, 1996 ).
• For a set of points on the same line there is no Delaunay triangulation ( the notion of triangulation is degenerate for this case ).
• The first is contained in the minimum spanning tree, and the Urquhart graph contains the RNG, and is contained in the Delaunay triangulation.
• Therefore, unlike the closely related Delaunay triangulation, " ? "-skeletons have unbounded stretch factor and are not geometric spanners.
• In a valid Delaunay triangulation, none of the points of the triangulation lie on the inside of any of the circumcircles of the triangles.
• In mesh generation, "'Chew's second algorithm "'is a Delaunay refinement algorithm for creating quality constrained Delaunay triangulations.