Christopher M. Gold
This article presents a method for the visualization of the nucleation and growth of particles based on an algorithm for the dynamic construction of additively weighted Voronoi diagrams. We use the Poisson point process in the dynamic additively Voronoi diagram to generate the Johnson-Mehl tesselation. The Johnson-Mehl model is a Poisson Voronoi growth model, in which nuclei are generated asynchronously using a Poisson point process, and grow at the same radial speed. Growth models produce spatial patterns as a result of simple growth processes and their visualization is important in many technological processes.