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pro vyhledávání: '"Baspinar, Emre"'
Autor:
Baspinar, Emre
We present a novel cortically-inspired image completion algorithm. It uses a five dimensional sub-Riemannian cortical geometry modelling the orientation, spatial frequency and phase selective behavior of the cells in the visual cortex. The algorithm
Externí odkaz:
http://arxiv.org/abs/2110.14330
We consider Wilson-Cowan-type models for the mathematical description of orientation-dependent Poggendorff-like illusions. Our modelling improves two previously proposed cortical-inspired approaches embedding the sub-Riemannian heat kernel into the n
Externí odkaz:
http://arxiv.org/abs/2012.14184
We revisit elliptic bursting dynamics from the viewpoint of torus canard solutions. We show that at the transition to and from elliptic burstings, classical or mixed-type torus canards can appear, the difference between the two being the fast subsyst
Externí odkaz:
http://arxiv.org/abs/2011.01588
Publikováno v:
Phys. Rev. E 103, 032308 (2021)
The counter-intuitive phenomenon of coherence resonance describes a non-monotonic behavior of the regularity of noise-induced oscillations in the excitable regime, leading to an optimal response in terms of regularity of the excited oscillations for
Externí odkaz:
http://arxiv.org/abs/2009.08884
Akademický článek
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Publikováno v:
Math Imaging Vis (2018) 60: 900
In this paper we present a new model for the generation of orientation preference maps in the primary visual cortex (V1), considering both orientation and scale features. First we undertake to model the functional architecture of V1 by interpreting i
Externí odkaz:
http://arxiv.org/abs/1712.04329
Autor:
Baspinar, Emre, Citti, Giovanna
Here we provide a uniqueness result for viscosity solutions to sub-Riemannian mean curvature flow. In this setting the uniqueness cannot be deduced via comparison principle, which is known only for graphs and for radially symmetric surfaces, due to t
Externí odkaz:
http://arxiv.org/abs/1610.06031
Autor:
Baspinar, Emre, Citti, Giovanna
Here we provide uniqueness of vanishing viscosity solutions to sub-Riemannian mean curvature flow problem, which was known only far from characteristic points or under special symmetry condition. We employ vanishing viscosity approach and look for so
Externí odkaz:
http://arxiv.org/abs/1608.00761
Autor:
Baspinar, Emre, Citti, Giovanna
Bence-Merriman-Osher algorithm computes numerically mean curvature flow via solutions of heat equation iteratively initialized at the end of each short time interval. Inspired by the convergence proof of Evans of this algorithm where he employed nonl
Externí odkaz:
http://arxiv.org/abs/1603.01156
We show that during the transition from and to elliptic burstings both classical and mixed-type torus canards appear in a Wilson-Cowan type neuronal network model, as well as in its corresponding mean-field framework. We show numerically the overlap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::45af17aba7f4b9cfa1411e0bec5f60a1
https://hal.science/hal-03588795/document
https://hal.science/hal-03588795/document