Dynamic grain models via fast heuristics for diagram representations
arXiv:2204.06430 · doi:10.1080/14786435.2023.2180679
Abstract
The present paper introduces a mathematical model for studying dynamic grain growth. In particular, we show how characteristic measurements, grain volumes, centroids, and central second-order moments at discrete moments in time can be turned quickly into a continuous description of the grain growth process in terms of geometric diagrams (which largely generalize the well-known Voronoi and Laguerre tessellations). We evaluate the computational behavior of our algorithm on real-world data.
21 pages, 4 tables, 6 figures