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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
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. ...
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 ...
Artículo
An application for gait recognition using persistent homology
(Universidad de Sevilla, 2013)
This Demo presents an application for gait recognition using persistent homology. Using a background subtraction approach, a silhouette sequence is obtained from a camera in a controlled environment. A border simplicial ...
Capítulo de Libro
Topological features for monitoring human activities at distance
(2014)
In this paper, a topological approach for monitoring human activities is presented. This approach makes possible to protect the person’s privacy hiding details that are not essential for processing a security alarm. First, ...
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 ...