Karol Mikula

Publication Activity (10 Years)

Years Active: 1996-2024
Publications (10 Years): 20

Top Topics

Top Venues

Adv. Comput. Math.

Comput. Math. Appl.

Publications

Jooyoung Hahn, Karol Mikula, Peter Frolkovic
Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes. Comput. Math. Appl. 156 (2024)
Lukás Tomek, Branislav Beran, Ján Erdélyi, Richard Honti, Karol Mikula
Multichannel segmentation of planar point clouds using evolving curves. Comput. Appl. Math. 42 (8) (2023)
Seol Ah Park, Tamara Sipka, Zuzana Krivá, George Lutfalla, Mai Nguyen-Chi, Karol Mikula
Segmentation based tracking of cells in 2D+time microscopy images of macrophages. CoRR (2023)
Jooyoung Hahn, Karol Mikula, Peter Frolkovic
Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes. CoRR (2023)
Karol Mikula, Michal Kollár, Aneta A. Ozvat, Mária Sibíková, Lucia Cahojová
Natural Numerical Networks on Directed Graphs in Satellite Image Classification. SSVM (2023)
Seol Ah Park, Tamara Sipka, Zuzana Krivá, George Lutfalla, Mai Nguyen-Chi, Karol Mikula
Segmentation-based tracking of macrophages in 2D＋time microscopy movies inside a living animal. Comput. Biol. Medicine 153 (2023)
Giulia Lupi, Karol Mikula, Seol Ah Park
Macrophages trajectories smoothing by evolving curves. CoRR (2022)
Balázs Kósa, Karol Mikula
Direct simple computation of middle surface between 3D point clouds and/or discrete surfaces by tracking sources in distance function calculation algorithms. CoRR (2021)
Karol Mikula, Maria Sibikova, Martin Ambroz, Michal Kollar, Aneta A. Ozvat, Jozef Urbán, Ivan Jarolimek, Jozef Sibik
NaturaSat - A Software Tool for Identification, Monitoring and Evaluation of Habitats by Remote Sensing Techniques. Remote. Sens. 13 (17) (2021)
Markjoe Olunna Uba, Karol Mikula, Seol Ah Park
4D Segmentation Algorithm with application to 3D+time Image Segmentation. CoRR (2021)
Karol Mikula, Michal Kollar, Aneta A. Ozvat, Martin Ambroz, Lucia Cahojova, Ivan Jarolimek, Jozef Sibik, Maria Sibikova
Natural Numerical Networks for Natura 2000 habitats classification by satellite images. CoRR (2021)
Karol Mikula, Martin Ambroz, Renata Mokosova
What was the river Ister in the time of Strabo? A mathematical approach. CoRR (2021)
Jérôme Droniou, Matej Medl'a, Karol Mikula
Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling. J. Comput. Phys. 398 (2019)
Martin Ambroz, Martin Balazovjech, Matej Medl'a, Karol Mikula
Numerical modeling of wildland surface fire propagation by evolving surface curves. Adv. Comput. Math. 45 (2) (2019)
Jooyoung Hahn, Karol Mikula, Peter Frolkovic, Matej Medl'a, Branislav Basara
Iterative inflow-implicit outflow-explicit finite volume scheme for level-set equations on polyhedron meshes. Comput. Math. Appl. 77 (6) (2019)
Peter Frolkovic, Karol Mikula
Semi-implicit second order schemes for numerical solution of level set advection equation on Cartesian grids. Appl. Math. Comput. 329 (2018)
Jooyoung Hahn, Karol Mikula, Peter Frolkovic, Branislav Basara
Inflow-Based Gradient Finite Volume Method for a Propagation in a Normal Direction in a Polyhedron Mesh. J. Sci. Comput. 72 (1) (2017)
Zuzana Krivá, Angela Handlovicová, Karol Mikula
Adaptive cell-centered finite volume method for diffusion equations on a consistent quadtree grid. Adv. Comput. Math. 42 (2) (2016)
Robert Spir, Karol Mikula, Nadine Peyriéras
Cell Lineage Tree Reconstruction from Time Series of 3D Images of Zebrafish Embryogenesis. ACCV Workshops (2) (2016)
Patrik Daniel, Matej Medl'a, Karol Mikula, Mariana Remesíková
Reconstruction of Surfaces from Point Clouds Using a Lagrangian Surface Evolution Model. SSVM (2015)
Karol Mikula, Mariana Remesíková, Peter Sarkoci, Daniel Sevcovic
Manifold Evolution with Tangential Redistribution of Points. SIAM J. Sci. Comput. 36 (4) (2014)
Karol Mikula, Jozef Urbán
A new tangentially stabilized 3D curve evolution algorithm and its application in virtual colonoscopy. Adv. Comput. Math. 40 (4) (2014)
Karol Mikula, Jozef Urbán
3D Curve Evolution Algorithm with Tangential Redistribution for a Fully Automatic Finding of an Ideal Camera Path in Virtual Colonoscopy. SSVM (2011)
Martin Balazovjech, Karol Mikula
A Higher Order Scheme for a Tangentially Stabilized Plane Curve Shortening Flow with a Driving Force. SIAM J. Sci. Comput. 33 (5) (2011)
Yohanns Bellaiche, Floris Bosveld, Francois Graner, Karol Mikula, Mariana Remesíková, Michal Smísek
New robust algorithm for tracking cells in videos of drosophila morphogenesis based on finding an ideal path in segmented spatio-temporal cellular structures. EMBC (2011)
Karol Mikula, Nadine Peyriéras, Mariana Remesíková, Olga Stasová
Segmentation of 3D cell membrane images by PDE methods and its applications. Comput. Biol. Medicine 41 (6) (2011)
Peter Frolkovic, Karol Mikula
Preface. Kybernetika 46 (2) (2010)
Paul Bourgine, Róbert Cunderlík, Olga Stasová, Karol Mikula, Mariana Remesíková, Nadine Peyriéras, Barbara Rizzi, Alessandro Sarti
4D Embryogenesis image analysis using PDE methods of image processing. Kybernetika 46 (2) (2010)
Zuzana Krivá, Karol Mikula, Nadine Peyriéras, Barbara Rizzi, Alessandro Sarti, Olga Stasová
3D early embryogenesis image filtering by nonlinear partial differential equations. Medical Image Anal. 14 (4) (2010)
Karol Mikula, Mario Ohlberger
A New Level Set Method for Motion in Normal Direction Based on a Semi-Implicit Forward-Backward Diffusion Approach. SIAM J. Sci. Comput. 32 (3) (2010)
Cecilia Zanella, Matteo Campana, Barbara Rizzi, Camilo Melani, Gonzalo Sanguinetti, Paul Bourgine, Karol Mikula, Nadine Peyriéras, Alessandro Sarti
Cells Segmentation From 3-D Confocal Images of Early Zebrafish Embryogenesis. IEEE Trans. Image Process. 19 (3) (2010)
Paul Bourgine, Peter Frolkovic, Karol Mikula, Nadine Peyriéras, Mariana Remesíková
Extraction of the Intercellular Skeleton from 2D Images of Embryogenesis Using Eikonal Equation and Advective Subjective Surface Method. SSVM (2009)
Karol Mikula, Mariana Remesíková
Finite Volume Schemes for the Generalized Subjective Surface Equation in Image Segmentation. Kybernetika 45 (4) (2009)
Olga Drblíková, Karol Mikula, Nadine Peyriéras
The Nonlinear Tensor Diffusion in Segmentation of Meaningful Biological Structures from Image Sequences of Zebrafish Embryogenesis. SSVM (2009)
Olga Drblíková, Karol Mikula
Convergence Analysis of Finite Volume Scheme for Nonlinear Tensor Anisotropic Diffusion in Image Processing. SIAM J. Numer. Anal. 46 (1) (2007)
Zuzana Fasková, Karol Mikula, Róbert Cunderlík, Juraj Janák, Michal Sprlák
Gravimetric quasigeoid in Slovakia by the finite element method. Kybernetika 43 (6) (2007)
Peter Frolkovic, Karol Mikula
High-Resolution Flux-Based Level Set Method. SIAM J. Sci. Comput. 29 (2) (2007)
Peter Frolkovic, Karol Mikula, Nadine Peyriéras, Alex Sarti
Counting number of cells and cell segmentation using advection-diffusion equations. Kybernetika 43 (6) (2007)
Stefania Corsaro, Karol Mikula, Alessandro Sarti, Fiorella Sgallari
Semi-Implicit Covolume Method in 3D Image Segmentation. SIAM J. Sci. Comput. 28 (6) (2006)
Angela Handlovicová, Karol Mikula, Fiorella Sgallari
Semi-implicit complementary volume scheme for solving level set like equations in image processing and curve evolution. Numerische Mathematik 93 (4) (2003)
Zuzana Krivá, Karol Mikula
An Adaptive Finite Volume Scheme for Solving Nonlinear Diffusion Equations in Image Processing. J. Vis. Commun. Image Represent. 13 (1-2) (2002)
Alessandro Sarti, Karol Mikula, Fiorella Sgallari, Claudio Lamberti
Evolutionary partial differential equations for biomedical image processing. J. Biomed. Informatics 35 (2) (2002)
Angela Handlovicová, Karol Mikula, Fiorella Sgallari
Variational Numerical Methods for Solving Nonlinear Diffusion Equations Arising in Image Processing. J. Vis. Commun. Image Represent. 13 (1-2) (2002)
Daniel Sevcovic, Karol Mikula
Evolution of Plane Curves Driven by a Nonlinear Function of Curvature and Anisotropy. SIAM J. Appl. Math. 61 (5) (2001)
Karol Mikula, Narisoa Ramarosy
Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing. Numerische Mathematik 89 (3) (2001)
Alessandro Sarti, Karol Mikula, Fiorella Sgallari
Nonlinear Multiscale Analysis of 3D Echocardiographic Sequences. IEEE Trans. Medical Imaging 18 (6) (1999)
Jozef Kacur, Karol Mikula
Slowed Anisotropic Diffusion. Scale-Space (1997)
Karol Mikula, Jozef Kacur
Evolution of Convex Plane Curves Describing Anisotropic Motions of Phase Interfaces. SIAM J. Sci. Comput. 17 (6) (1996)