Applied Topology: Compression Schemes and Range Patches

This lecture covers the application of density understanding to develop compression schemes, including the comparison between Kleinlets and Wedgelets. It also explores texture recognition on the Klein bottle and the analysis of range patches using persistent homology. Additionally, it delves into the evolution of trees and the study of persistence barcodes in metric spaces, particularly in the context of evolution. The lecture further discusses experiments with unevoked data and variants on persistence, such as Zig-Zags, with a focus on classification and practical applications.