paper

A Closed Formula for the Interleaving Distance of Rectangle Persistence Modules

arXiv:2411.01430

Abstract

We give formulas for calculating the interleaving distance between rectangle persistence modules that depend solely on the geometry of the underlying rectangles. Moreover, we extend our results to calculate the bottleneck distance for rectangle decomposable persistence modules.

23 pages, all comments are welcome

A Closed Formula for the Interleaving Distance of Rectangle Persistence Modules · wovepaper