| Autor: |
Ethier, Marc, Frosini, Patrizio, Quercioli, Nicola, Tombari, Francesca |
| Rok vydání: |
2022 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s41468-023-00128-7 |
| Popis: |
In this paper we exploit the concept of extended Pareto grid to study the geometric properties of the matching distance for $\mathbb{R}^2$-valued regular functions defined on a Riemannian closed manifold. In particular, we prove that in this case the matching distance is realised either at special values or at values corresponding to vertical, horizontal or slope 1 lines. |
| Databáze: |
arXiv |
| Externí odkaz: |
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