Fast capacity constrained Voronoi tessellation

Lloyd relaxation is widely employed to generate point distribution for a variety of applications in computer graphics, computer vision, and image processing. However, Lloyd relaxation has several known issues that could harm distribution quality, among which the tendency to settle into semi-regular structures being the most severe. Recently, Balzer et al. [2009a] addressed this issue via a variation of Lloyd relaxation, termed capacity constraint Voronoi tessellation (CCVT). CCVT has superior quality than Lloyd relaxation, but could run orders of magnitude slower. Given the importance of Lloyd relaxation, CCVT has the potential to become a widely adopted replacement, but its slow computation could be a hindrance. In this paper, we present fast CCVT, an accelerated version of the original CCVT method. Our acceleration is composed of different methods ranging from high level parallelization and complexity reduction to low level speed optimizations. Our aggregated accelerations are order...

• Type: Conference
• Year: 2010
• Where: SI3D
• Authors: Hongwei Li, Diego Nehab, Li-Yi Weiy, Pedro V. Sander, Chi-Wing Fu
• Keywords: Balzer Et, Computer Graphics, Distribution Quality, Lloyd Relaxation, SI3D 2010