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Artículo
Continuous Well-Composedness Implies Digital Well-Composedness in n-D
(Springer, 2022)
In this paper, we prove that when a n-D cubical set is continuously well-composed (CWC), that is, when the boundary of its continuous analog is a topological (n- 1) -manifold, then it is digitally well-composed (DWC), which ...
Artículo
Persistence Partial Matchings Induced by Morphisms between Persistence Modules
(Cornell University, 2021)
The notion of persistence partial matching, as a generalization of partial matchings between persistence modules, is introduced. We study how to obtain a persistence partial matching Gf , and a partial matching Mf , ...
Artículo
Basis-independent partial matchings induced by morphisms between persistence modules
(Cornell University, 2020)
In this paper, we study how basis-independent partial matchings induced by morphisms between persistence modules (also called ladder modules) can be defined. Besides, we extend the notion of basis-independent partial ...
Artículo
Characterizing slope regions
(Springer, 2021)
This paper provides a theoretical characterization of monotonically connected image surface regions, called slope regions. The characterization is given by several topological properties described in terms of critical ...