Zobrazeno 1 - 10
of 272
pro vyhledávání: '"Mikula, Karol"'
In this paper, we propose a numerical algorithm based on a cell-centered finite volume method to compute a distance from given objects on a three-dimensional computational domain discretized by polyhedral cells. Inspired by the vanishing viscosity me
Externí odkaz:
http://arxiv.org/abs/2301.11656
Autor:
Park, Seol Ah, Sipka, Tamara, Kriva, Zuzana, Lutfalla, George, Nguyen-Chi, Mai, Mikula, Karol
The automated segmentation and tracking of macrophages during their migration are challenging tasks due to their dynamically changing shapes and motions. This paper proposes a new algorithm to achieve automatic cell tracking in time-lapse microscopy
Externí odkaz:
http://arxiv.org/abs/2301.00765
When analyzing cell trajectories, we often have to deal with noisy data due to the random motion of the cells and possible imperfections in cell center detection. To smooth these trajectories, we present a mathematical model and numerical method base
Externí odkaz:
http://arxiv.org/abs/2211.15184
Autor:
Kosa, Balazs, Mikula, Karol
In this paper, we introduce novel methods for computing middle surfaces between various 3D data sets such as point clouds and/or discrete surfaces. Traditionally the middle surface is obtained by detecting singularities in computed distance function
Externí odkaz:
http://arxiv.org/abs/2112.09808
In this paper, we introduce and study a novel segmentation method for 4D images based on surface evolution governed by a nonlinear partial differential equation, the generalized subjective surface equation. The new method uses 4D digital image inform
Externí odkaz:
http://arxiv.org/abs/2111.11866
Autor:
Mikula, Karol, Kollar, Michal, Ozvat, Aneta A., Ambroz, Martin, Cahojova, Lucia, Jarolimek, Ivan, Sibik, Jozef, Sibikova, Maria
Natural numerical networks are introduced as a new classification algorithm based on the numerical solution of nonlinear partial differential equations of forward-backward diffusion type on complete graphs. The proposed natural numerical network is a
Externí odkaz:
http://arxiv.org/abs/2108.04327
Publikováno v:
Tatra Mt. Math. Publ., Vol 80, 2021, pp. 71-118
In this paper, we introduce a novel method for map registration and apply it to transformation of the river Ister from Strabo's map of the World to the current map in the World Geodetic System. This transformation leads to the surprising but convinci
Externí odkaz:
http://arxiv.org/abs/2101.06505
Publikováno v:
In Computers and Mathematics with Applications 15 February 2024 156:74-86
We develop and analyse finite volume methods for the Poisson problem with boundary conditions involving oblique derivatives. We design a generic framework, for finite volume discretisations of such models, in which internal fluxes are not assumed to
Externí odkaz:
http://arxiv.org/abs/1905.01813
Autor:
Mikula, Karol, Kollár, Michal, Ožvat, Aneta A., Ambroz, Martin, Čahojová, Lucia, Jarolímek, Ivan, Šibík, Jozef, Šibíková, Mária
Publikováno v:
In Applied Mathematical Modelling April 2023 116:209-235