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Artículo
Topological evaluation of volume reconstructions by voxel carving
(2014)
Space or voxel carving (Broadhurst et al., 2001; Culbertson et al., 1999; Kutulakos and Seitz, 2000; Seitz et al., 2006) is a technique for creating a three-dimensional reconstruction of an object from a series ...
Artículo
An entropy-based persistence barcode
(2015)
In persistent homology, the persistence barcode encodes pairs of simplices meaning birth and death of homology classes. Persistence barcodes depend on the ordering of the simplices (called a filter) of the given simplicial ...
Artículo
Stable topological summaries for analyzing the organization of cells in a packed tissue
(MDPI, 2021)
We use topological data analysis tools for studying the inner organization of cells in segmented images of epithelial tissues. More specifically, for each segmented image, we compute different persistence barcodes, which ...
Artículo
A Survey of Vectorization Methods in Topological Data Analysis
(IEEE Computer Society, 2023-12)
Attempts to incorporate topological information in supervised learning tasks have resulted in the creation of several techniques for vectorizing persistent homology barcodes. In this paper, we study thirteen such methods. ...
Artículo
Topological tracking of connected components in image sequences
(Elsevier, 2018)
Persistent homology provides information about the lifetime of homology classes along a filtration of cell complexes. Persistence barcode is a graphi- cal representation of such information. A filtration might be determined ...
Artículo
A new topological entropy-based approach for measuring similarities among piecewise linear functions
(Elsevier, 2017)
In this paper we present a novel methodology based on a topological entropy, the so-called persistent entropy, for addressing the comparison between discrete piecewise linear functions. The comparison is certi ed by the ...