title: GPU-assisted computation of centroidal Voronoi tessellation.
abstract: Centroidal Voronoi tessellations (CVT) are widely used in computational science and engineering. The most commonly used method is Lloyd's method, and recently the L-BFGS method is shown to be faster than Lloyd's method for computing the CVT. However, these methods run on the CPU and are still too slow for many practical applications. We present techniques to implement these methods on the GPU for computing the CVT on 2D planes and on surfaces, and demonstrate significant speedup of these GPU-based methods over their CPU counterparts. For CVT computation on a surface, we use a geometry image stored in the GPU to represent the surface for computing the Voronoi diagram on it. In our implementation a new technique is proposed for parallel regional reduction on the GPU for evaluating integrals over Voronoi cells.
authors.affiliation: Department of Computer Science, University of Texas at Dallas, 800 W. Campbell Road, Richardson, TX 75083, USA. guodongrong@utdallas.edu
authors.forename: Guodong
authors.initials: G
authors.lastname: Rong
authors.forename: Yang
authors.initials: Y
authors.lastname: Liu
authors.forename: Wenping
authors.initials: W
authors.lastname: Wang
authors.forename: Xiaotian
authors.initials: X
authors.lastname: Yin
authors.forename: Xianfeng David
authors.initials: XD
authors.lastname: Gu
authors.forename: Xiaohu
authors.initials: X
authors.lastname: Guo
mesh_terms: D000465:Algorithms; D019295:Computational Biology; D003196:Computer Graphics; D007091:Image Processing, Computer-Assisted / Q000379:methods*