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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 ...
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 ...
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. ...
Ponencia
Towards Emotion Recognition: A Persistent Entropy Application
(Springer, 2019)
Emotion recognition and classification is a very active area of research. In this paper, we present a first approach to emotion classification using persistent entropy and support vector machines. A topology-based model ...