In this paper, we propose a brief overview about multidimensional persistent Betti numbers (PBNs) and the metric that is usually used to compare them, i.e., the multidimensional matching distance. We recall the main definitions and results, mainly focusing on the 2-dimensional case. An algorithm to approximate n-dimensional PBNs with arbitrary precision is described.
Cerri A., Frosini P. (2021). A Brief Introduction to Multidimensional Persistent Betti Numbers. Springer [10.1007/978-981-16-0174-3_18].
A Brief Introduction to Multidimensional Persistent Betti Numbers
Frosini P.
2021
Abstract
In this paper, we propose a brief overview about multidimensional persistent Betti numbers (PBNs) and the metric that is usually used to compare them, i.e., the multidimensional matching distance. We recall the main definitions and results, mainly focusing on the 2-dimensional case. An algorithm to approximate n-dimensional PBNs with arbitrary precision is described.File in questo prodotto:
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