Computing 3D Clipped Voronoi Diagrams on GPU

Abstract

Computing clipped Voronoi diagrams in 3D volume is a challenging problem. In this poster, we propose an efficient GPU implementation to tackle this problem. By discretizing the 3D volume into a tetrahedral mesh, the main idea of our approach is that we use the four planes of each tetrahedron (tet for short in the following) to clip the Voronoi cells, instead of using the bisecting planes of Voronoi cells to clip tets like previous approaches. This strategy reduces computational complexity drastically. Our approach outperforms the state-of-the-art CPU method up to one order of magnitude.