#Delaunay triangulation adobe software#Our implementation of the algorithm shows that it can be an order of magnitude faster than the best CPU software while using similar quantities of Steiner points to produce triangulations of comparable qualities. We prove by explicit counterexample that in 3D a harmonic triangulation does not exist in general. For an input of a piecewise linear complex G and a constant B, it produces, by adding Steiner points, a constrained Delaunay triangulation conforming to G and containing tetrahedra mostly with radiusedge ratios smaller than B. The Delaunay triangulation is the most widely used triangulation in scientific computing. By a famous result of Rippa, Delaunay triangulations are the harmonic triangulations of planar point sets. We propose the first GPU algorithm for the 3D constrained Delaunay refinement problem. 2019 28th International Conference on Parallel Architectures and Compilation Techniques (PACT) 2019-September : 408-419. The algorithm can be also used to obtain a Voronoi diagram of the points, which is the dual graph of the Delaunay triangulation. IEEE Computer Graphics and Applications: 36-47, 1993. o create a program that finds the Delaunay Triangulation of a point set, and then selects edges of that triangulation as possible reconstruction of curves from which the point set has been sampled. In computational geometry, the BowyerWatson algorithm is a method for computing the Delaunay triangulation of a finite set of points in any number of dimensions. Computing three-dimensional constrained delaunay refinement using the GPU. Delaunay triangulation using a uniform grid. Computing three-dimensional constrained delaunay refinement using the GPUĬhen, Z, Tan, TS ().
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