کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
440171 | 690979 | 2013 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: GPU-based computation of discrete periodic centroidal Voronoi tessellation in hyperbolic space GPU-based computation of discrete periodic centroidal Voronoi tessellation in hyperbolic space](/preview/png/440171.png)
Periodic centroidal Voronoi tessellation (CVT) in hyperbolic space provides a nice theoretical framework for computing the constrained CVT on high-genus (genus>1) surfaces. This paper addresses two computational issues related to such a hyperbolic CVT framework: (1) efficient reduction of unnecessary site copies in neighbor domains on the universal covering space, based on two special rules; (2) GPU-based parallel algorithms to compute a discrete version of the hyperbolic CVT. Our experiments show that with the dramatically reduced number of unnecessary site copies in neighbor domains and the GPU-based parallel algorithms, we significantly speed up the computation of CVT for high-genus surfaces. The proposed discrete hyperbolic CVT guarantees to converge and produces high-quality results.
► We propose a framework for computing discrete periodic CVT in hyperbolic space.
► Two efficient rules are introduced to reduce the site copies of periodic CVT.
► A GPU-based parallel algorithm is proposed to compute the discrete periodic CVT.
► We significantly speed up the computation of periodic CVT for high-genus surfaces.
► The proposed discrete CVT guarantees to converge and produces high-quality results.
Journal: Computer-Aided Design - Volume 45, Issue 2, February 2013, Pages 463–472