Topological Estimation of 2D Image Data via Subsampling and Application to Firn

• Published in: IEEE access Vol. 9; pp. 10348 - 10356
• Main Authors: Belotti, Victoria, Jester, Matthew, Keegan, Kaitlin, Chung, Yu-Min, Day, Sarah
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Computed tomography; Data analysis; Estimation; firn microstructure; Gray-scale; Ice; Medical imaging; Microstructure; Noise levels; Noise measurement; Persistent homology; porous media; sampling methods; Statistical methods; Thresholding (Imaging); topological data analysis; Topology; Two dimensional displays

We develop a novel statistical approach to estimate topological information from large, noisy images. Our main motivation is to measure pore microstructure in 2-dimensional X-ray micro-computed tomography (micro-CT) images of ice cores at different depths. The pore space in these samples is where ga...