Introduction to Cubical Complexes and Persistence - 2020

Explore the fundamentals of cubical complexes and cubical homology in this 26-minute lecture from the Applied Algebraic Topology Network. Delve into the efficient analysis of digital images using the natural grid structure to construct filtrations and compute persistent homology. Learn how cubical complexes offer advantages over simplicial complexes in certain applications. Discover the connection between cubical homology and topological data analysis, with a focus on undergraduate-level content. Access accompanying whiteboard PDFs for enhanced understanding of the material presented in this Spring 2020 recording from College of the Holy Cross MATH 363, Topics in Topology.