9 citations · 10 across the 3 of their papers we have counts for
4 papers
Topology-based Filtering of Graph Signals via Persistent Homology
Matias de Jong van Lier, Sebastián Elías Graiff Zurita, Shizuo Kaji
We study topology-based filtering of vertex-defined signals on graphs and their two-dimensional analogues. Unlike graph-spectral filters, the proposed approach distinguishes featur…
Fairing of Discrete Planar Curves by Integrable Discrete Analogue of Euler's Elasticae
Sebastian Elias Graiff Zurita, Kenji Kajiwara, Toshitomo Suzuki
We construct a method to fair a given discrete planar curve by using the integrable discrete analogue of Euler's elastica, which is a discrete version of the approximation algorith…
Error analysis of forced discrete mechanical systems
Javier Fernández, Sebastián Elías Graiff Zurita, Sergio Grillo
The purpose of this paper is to perform an error analysis of the variational integrators of mechanical systems subject to external forcing. Essentially, we prove that when a discre…
Fairing of Discrete Planar Curves by Discrete Euler's Elasticae
Sebastián Elías Graiff Zurita, Kenji Kajiwara
After characterizing the integrable discrete analogue of the Euler's elastica, we focus our attention on the problem of approximating a given discrete planar curve by an appropriat…