Tracking change in topology during downsampling.

Abstract

We study the topological effects of downsampling in 3D scalar fields represented over structured grids. To capture the extent of topological changes during downsampling, we consider Extended Branch Decomposition Graph (eBDG) based measure. While computing eBDG score of comparison between low resolution scalar fields and original scalar field, an additional parameter of position along with persistence is introduced. We compare and analyze the eBDG cost with Root Mean Sqaure Distance (RMSD) and Structural SIMilarity (SSIM) index.