Future Seminars
#39 Date:Â 2024/5/10
Speaker: Hubert Wagner (University of Florida)
Title: Computing persistent homology of 3D images with billions of voxels using Cubicle
Abstract: Persistent homology is becoming increasingly used in practice. In particular, this is true in the context of (medical) image analysis and computer vision. However, specialized algorithms are necessary to efficiently handle large multidimensional image/voxel/cubical data. I will describe some mathematical and algorithmic techniques I found useful in my 15-year-old collaborative journey towards making such computations efficient. I will also overview available packages, including GUDHI, Cubical Ripser, TTK as well as my software Cubicle.
Main reference: "Slice, Simplify and Stitch: Topology-Preserving Simplification Scheme for Massive Voxel Data" (SoCG 2023).