Evolution of Convex Plane Curves Describing Anisotropic Motions of Phase Interfaces. - Karol Mikula; Jozef Kacur (SIAM J. Sci. Comput., 1996)

Slowed Anisotropic Diffusion. - Jozef Kacur; Karol Mikula (Scale-Space, 1997)

Nonlinear Multiscale Analysis of 3D Echocardiographic Sequences. - Alessandro Sarti; Karol Mikula; Fiorella Sgallari (IEEE Trans. Medical Imaging, 1999)

Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing. - Karol Mikula; Narisoa Ramarosy (Numerische Mathematik, 2001)

Evolution of Plane Curves Driven by a Nonlinear Function of Curvature and Anisotropy. - Daniel Sevcovic; Karol Mikula (SIAM J. Appl. Math., 2001)

Evolutionary partial differential equations for biomedical image processing. - Alessandro Sarti; Karol Mikula; Fiorella Sgallari; Claudio Lamberti (J. Biomed. Informatics, 2002)

Variational Numerical Methods for Solving Nonlinear Diffusion Equations Arising in Image Processing. - Angela Handlovicová; Karol Mikula; Fiorella Sgallari (J. Vis. Commun. Image Represent., 2002)

An Adaptive Finite Volume Scheme for Solving Nonlinear Diffusion Equations in Image Processing. - Zuzana Krivá; Karol Mikula (J. Vis. Commun. Image Represent., 2002)

Semi-implicit complementary volume scheme for solving level set like equations in image processing and curve evolution. - Angela Handlovicová; Karol Mikula; Fiorella Sgallari (Numerische Mathematik, 2003)

Semi-Implicit Covolume Method in 3D Image Segmentation. - Stefania Corsaro; Karol Mikula; Alessandro Sarti; Fiorella Sgallari (SIAM J. Sci. Comput., 2006)

Gravimetric quasigeoid in Slovakia by the finite element method. - Zuzana Fasková; Karol Mikula; Róbert Cunderlík; Juraj Janák; Michal Sprlák (Kybernetika, 2007)

Counting number of cells and cell segmentation using advection-diffusion equations. - Peter Frolkovic; Karol Mikula; Nadine Peyriéras; Alex Sarti (Kybernetika, 2007)

Convergence Analysis of Finite Volume Scheme for Nonlinear Tensor Anisotropic Diffusion in Image Processing. - Olga Drblíková; Karol Mikula (SIAM J. Numer. Anal., 2007)

High-Resolution Flux-Based Level Set Method. - Peter Frolkovic; Karol Mikula (SIAM J. Sci. Comput., 2007)

Extraction of the Intercellular Skeleton from 2D Images of Embryogenesis Using Eikonal Equation and Advective Subjective Surface Method. - Paul Bourgine; Peter Frolkovic; Karol Mikula; Nadine Peyriéras; Mariana Remesíková (SSVM, 2009)

The Nonlinear Tensor Diffusion in Segmentation of Meaningful Biological Structures from Image Sequences of Zebrafish Embryogenesis. - Olga Drblíková; Karol Mikula; Nadine Peyriéras (SSVM, 2009)

Finite Volume Schemes for the Generalized Subjective Surface Equation in Image Segmentation. - Karol Mikula; Mariana Remesíková (Kybernetika, 2009)

4D Embryogenesis image analysis using PDE methods of image processing. - Paul Bourgine; Róbert Cunderlík; Olga Stasová; Karol Mikula; Mariana Remesíková; Nadine Peyriéras; Barbara Rizzi; Alessandro Sarti (Kybernetika, 2010)

Preface. - Peter Frolkovic; Karol Mikula (Kybernetika, 2010)

3D early embryogenesis image filtering by nonlinear partial differential equations. - Zuzana Krivá; Karol Mikula; Nadine Peyriéras; Barbara Rizzi; Alessandro Sarti; Olga Stasová (Medical Image Anal., 2010)

A New Level Set Method for Motion in Normal Direction Based on a Semi-Implicit Forward-Backward Diffusion Approach. - Karol Mikula; Mario Ohlberger (SIAM J. Sci. Comput., 2010)

Cells Segmentation From 3-D Confocal Images of Early Zebrafish Embryogenesis. - Cecilia Zanella; Matteo Campana; Barbara Rizzi; Camilo Melani; Gonzalo Sanguinetti; Paul Bourgine; Karol Mikula; Nadine Peyriéras; Alessandro Sarti (IEEE Trans. Image Process., 2010)

New robust algorithm for tracking cells in videos of drosophila morphogenesis based on finding an ideal path in segmented spatio-temporal cellular structures. - Yohanns Bellaiche; Floris Bosveld; Francois Graner; Karol Mikula; Mariana Remesíková; Michal Smísek (EMBC, 2011)

3D Curve Evolution Algorithm with Tangential Redistribution for a Fully Automatic Finding of an Ideal Camera Path in Virtual Colonoscopy. - Karol Mikula; Jozef Urbán (SSVM, 2011)

Segmentation of 3D cell membrane images by PDE methods and its applications. - Karol Mikula; Nadine Peyriéras; Mariana Remesíková; Olga Stasová (Comput. Biol. Medicine, 2011)

A Higher Order Scheme for a Tangentially Stabilized Plane Curve Shortening Flow with a Driving Force. - Martin Balazovjech; Karol Mikula (SIAM J. Sci. Comput., 2011)

A new tangentially stabilized 3D curve evolution algorithm and its application in virtual colonoscopy. - Karol Mikula; Jozef Urbán (Adv. Comput. Math., 2014)

Manifold Evolution with Tangential Redistribution of Points. - Karol Mikula; Mariana Remesíková; Peter Sarkoci; Daniel Sevcovic (SIAM J. Sci. Comput., 2014)

Reconstruction of Surfaces from Point Clouds Using a Lagrangian Surface Evolution Model. - Patrik Daniel; Matej Medl'a; Karol Mikula; Mariana Remesíková (SSVM, 2015)

Cell Lineage Tree Reconstruction from Time Series of 3D Images of Zebrafish Embryogenesis. - Robert Spir; Karol Mikula; Nadine Peyriéras (ACCV Workshops (2), 2016)

Adaptive cell-centered finite volume method for diffusion equations on a consistent quadtree grid. - Zuzana Krivá; Angela Handlovicová; Karol Mikula (Adv. Comput. Math., 2016)

Inflow-Based Gradient Finite Volume Method for a Propagation in a Normal Direction in a Polyhedron Mesh. - Jooyoung Hahn; Karol Mikula; Peter Frolkovic; Branislav Basara (J. Sci. Comput., 2017)

Semi-implicit second order schemes for numerical solution of level set advection equation on Cartesian grids. - Peter Frolkovic; Karol Mikula (Appl. Math. Comput., 2018)

Numerical modeling of wildland surface fire propagation by evolving surface curves. - Martin Ambroz; Martin Balazovjech; Matej Medl'a; Karol Mikula (Adv. Comput. Math., 2019)

Iterative inflow-implicit outflow-explicit finite volume scheme for level-set equations on polyhedron meshes. - Jooyoung Hahn; Karol Mikula; Peter Frolkovic; Matej Medl'a; Branislav Basara (Comput. Math. Appl., 2019)

Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling. - Jérôme Droniou; Matej Medl'a; Karol Mikula (J. Comput. Phys., 2019)

What was the river Ister in the time of Strabo? A mathematical approach. - Karol Mikula; Martin Ambroz; Renata Mokosova (CoRR, 2021)

Natural Numerical Networks for Natura 2000 habitats classification by satellite images. - Karol Mikula; Michal Kollár; Aneta A. Ozvat; Martin Ambroz; Lucia Cahojová; Ivan Jarolimek; Jozef Sibik; Mária Sibíková (CoRR, 2021)

4D Segmentation Algorithm with application to 3D+time Image Segmentation. - Markjoe Olunna Uba; Karol Mikula; Seol Ah Park (CoRR, 2021)

Direct simple computation of middle surface between 3D point clouds and/or discrete surfaces by tracking sources in distance function calculation algorithms. - Balázs Kósa; Karol Mikula (CoRR, 2021)

NaturaSat - A Software Tool for Identification, Monitoring and Evaluation of Habitats by Remote Sensing Techniques. - Karol Mikula; Mária Sibíková; Martin Ambroz; Michal Kollár; Aneta A. Ozvat; Jozef Urbán; Ivan Jarolimek; Jozef Sibik (Remote. Sens., 2021)

Macrophages trajectories smoothing by evolving curves. - Giulia Lupi; Karol Mikula; Seol Ah Park (CoRR, 2022)

Natural Numerical Networks on Directed Graphs in Satellite Image Classification. - Karol Mikula; Michal Kollár; Aneta A. Ozvat; Mária Sibíková; Lucia Cahojová (SSVM, 2023)

Segmentation based tracking of cells in 2D+time microscopy images of macrophages. - Seol Ah Park; Tamara Sipka; Zuzana Krivá; George Lutfalla; Mai Nguyen-Chi; Karol Mikula (CoRR, 2023)

Segmentation-based tracking of macrophages in 2D＋time microscopy movies inside a living animal. - Seol Ah Park; Tamara Sipka; Zuzana Krivá; George Lutfalla; Mai Nguyen-Chi; Karol Mikula (Comput. Biol. Medicine, 2023)

Multichannel segmentation of planar point clouds using evolving curves. - Lukás Tomek; Branislav Beran; Ján Erdélyi; Richard Honti; Karol Mikula (Comput. Appl. Math., 2023)

Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes. - Jooyoung Hahn; Karol Mikula; Peter Frolkovic (Comput. Math. Appl., 2024)

NaturaSat computational tools for supporting hydrological modelling in environmental study and control. - Michal Kollár; Ivana Piacková; Juraj Papco; Mária Sibíková; Jozef Sibik; Karol Mikula (Int. J. Comput. Commun. Control, 2025)

Mathematical and numerical methods for understanding immune cell motion during wound healing. - Giulia Lupi; Seol Ah Park; Martin Ambroz; Resul Ozbilgic; Mai Nguyen Chi; Georges Lutfalla; Karol Mikula (CoRR, 2025)

Eikonal boundary condition for level set method. - Jooyoung Hahn; Karol Mikula; Peter Frolkovic (CoRR, 2025)

A Graph Diffusion Algorithm for Lexical Similarity Evaluation. - Karol Mikula; Mariana Remesíková (CoRR, 2025)