In this paper we exploit the concept of extended Pareto grid to study the geometric properties of the matching distance for R^2-valued regular functions defined on a closed Riemannian 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.
Geometry of the matching distance for 2D filtering functions
Frosini P.;
2023-01-01
Abstract
In this paper we exploit the concept of extended Pareto grid to study the geometric properties of the matching distance for R^2-valued regular functions defined on a closed Riemannian 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.File in questo prodotto:
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