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Ponencia
Separating Topological Noise from Features Using Persistent Entropy
(Springer, 2016)
Topology is the branch of mathematics that studies shapes and maps among them. From the algebraic definition of topology a new set of algorithms have been derived. These algorithms are identified with “computational ...
Capítulo de Libro
Towards Minimal Barcodes
(2013)
In the setting of persistent homology computation, a useful tool is the persistence barcode representation in which pairs of birth and death times of homology classes are encoded in the form of intervals. Starting from a ...
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 ...
Ponencia
Designing a Topological Algorithm for 3D Activity Recognition
(Springer, 2016)
Voxel carving is a non-invasive and low-cost technique that is used for the reconstruction of a 3D volume from images captured from a set of cameras placed around the object of interest. In this paper we propose a method ...
Ponencia
A topological entropy‐based approach for damage detection of civil engineering structures
(Editorial Club Universitario, 2019)
In this study, a new method based on topological entropy, the so‐called persistent entropy, is presented for addressing the damage detection problem in civil engineering structures. The efficiency of the algorithm is ...
Artículo
Topological signature for periodic motion recognition
(Cornell University, 2019)
In this paper, we present an algorithm that computes the topological signature for a given periodic motion sequence. Such signature consists of a vector obtained by persistent homology which captures the topological and ...
Ponencia
Spatiotemporal Barcodes for Image Sequence Analysis
(Springer, 2015)
Taking as input a time-varying sequence of two-dimensional (2D) binary images, we develop an algorithm for computing a spatiotemporal 0–barcode encoding lifetime of connected components on the image sequence over time. ...
Artículo
A new entropy based summary function for topological data analysis
(Elsevier, 2018)
Topological data analysis (TDA) aims to obtain useful information from data sets using topological concepts. In particular, it may help to infer from nite sample when a con guration space is a manifold. So far, there ...
Capítulo de Libro
Incremental-Decremental Algorithm for Computing AT-Models and Persistent Homology
(2011)
In this paper, we establish a correspondence between the incremental algorithm for computing AT-models [8,9] and the one for computing persistent homology [6,14,15]. We also present a decremental algorithm for computing ...