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Author ID: mikula.karol Recent zbMATH articles by "Mikula, Karol"
Published as: Mikula, Karol; Mikula, K.
all top 5

Co-Authors

6 single-authored
19 Frolkovič, Peter
18 Handlovičová, Angela
16 Ševčovič, Daniel
10 Remešiková, Mariana
8 Balazovjech, Martin
8 Čunderliḱ, Róbert
8 Hahn, Jooyoung
8 Krivá, Zuzana
8 Urbán, Jozef
7 Basara, Branislav
7 Sgallari, Fiorella
6 Ambroz, Martin
6 Medl’a, Matej
6 Peyriéras, Nadine
4 Beneš, Michal
4 Eymard, Robert
4 Kacur, Jozef
4 Macák, Marek
4 Minarechová, Zuzana
4 Sarti, Alessandro
4 Tomek, Lukáš
3 Kollár, Michal
3 Kósa, Balázs
3 Kútik, Pavol
3 Ohlberger, Mario
3 Park, Seol Ah
3 Smíšek, Michal
3 Špir, Róbert
2 Bänsch, Eberhard
2 Bourgine, Paul
2 Corsaro, Stefania
2 Drblíková, Olga
2 Herbin, Raphaèle
2 Húska, Martin
2 Jarolímek, Ivan
2 Kratochvil, Jan
2 Minárik, Vojtěch
2 Mojzeš, Matej
2 Novysedlák, Peter
2 Oberhuber, Tomás
2 Olunna Uba, Markjoe
2 Preusser, Tobias
2 Rizzi, Barbara
2 Rumpf, Martin
2 Šibík, Jozef
2 Šibíková, Mária
2 Stašová, Olga
1 Albers, Wulf
1 Bamberg, Günter
1 Beran, Branislav
1 Campana, Matteo
1 Chalupecký, Vladimír
1 Chi, Mai Nguyen
1 Christodoulou, Neophytos
1 Crott
1 Daniel, Patrik
1 De Simone, Valentina
1 Drblíková-Stašová, Olga
1 Droniou, Jérôme
1 Erdélyi, Ján
1 Fašková, Zuzana
1 Faure, Emmanuel
1 Fraštia, Marek
1 Frolkovič, Richard
1 Güth, Werner
1 Honti, Richard
1 Janák, Juraj
1 Kollár, Jozef
1 Komornikova, Magda
1 Lamberti, Carlo
1 Lupi, Giulia
1 Lutfalla, Georges
1 Marčiš, Marián
1 Martin, Dirk
1 Melani, Camilo
1 Mokošová, Renáta
1 Morigi, Serena
1 Okock, Polycarp Omondi
1 Opitz, Otto
1 Petrášová, Mária
1 Peyriéeras, N.
1 Priesching, Peter
1 Ramarosy, Narisoa
1 Rosenmüller, Joachim
1 Sanguinetti, Gonzalo
1 Sarkoci, Peter
1 Sarti, Alex
1 Schader, Martin
1 Selten, Reinhard
1 Sipka, Tamara
1 Šprlál, Michal
1 Ungvarský, Cyril
1 Weberling, Antonia
1 Zanella, Cecilia
1 Zernicka-Goetz, Magdalena

Publications by Year

Citations contained in zbMATH Open

83 Publications have been cited 595 times in 290 Documents Cited by Year
Geometrical image segmentation by the Allen-Cahn equation. Zbl 1055.94502
Beneš, Michal; Chalupecký, Vladimír; Mikula, Karol
70
2004
Evolution of plane curves driven by a nonlinear function of curvature and anisotropy. Zbl 0980.35078
Mikula, Karol; Sevcovic, Daniel
34
2001
A direct method for solving an anisotropic mean curvature flow of plane curves with an external force. Zbl 1049.35019
Mikula, Karol; Ševčovič, Daniel
29
2004
Semi-implicit complementary volume scheme for solving level set like equations in image processing and curve evolution. Zbl 1065.65105
Handlovičová, Angela; Mikula, Karol; Sgallari, Fiorella
26
2003
High-resolution flux-based level set method. Zbl 1141.76041
Frolkovič, Peter; Mikula, Karol
19
2007
Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing. Zbl 1013.65094
Mikula, Karol; Ramarosy, Narisoa
19
2001
Solution of nonlinear diffusion appearing in image smoothing and edge detection. Zbl 0823.65089
Kačur, Jozef; Mikula, Karol
18
1995
Flux-based level set method: A finite volume method for evolving interfaces. Zbl 1120.65093
Frolkovič, Peter; Mikula, Karol
17
2007
Semi-implicit covolume method in 3D image segmentation. Zbl 1126.65088
Corsaro, S.; Mikula, K.; Sarti, A.; Sgallari, F.
17
2006
Inflow-implicit/outflow-explicit finite volume methods for solving advection equations. Zbl 1310.65103
Mikula, Karol; Ohlberger, Mario; Urbán, Jozef
16
2014
Study of a finite volume scheme for the regularized mean curvature flow level set equation. Zbl 1241.65072
Eymard, Robert; Handlovičová, Angela; Mikula, Karol
14
2011
Convergence analysis of finite volume scheme for nonlinear tensor anisotropic diffusion in image processing. Zbl 1233.65063
Drblíková, Olga; Mikula, Karol
14
2008
A higher-order scheme for a tangentially stabilized plane curve shortening flow with a driving force. Zbl 1276.65048
Balažovjech, Martin; Mikula, Karol
13
2011
Evolution of curves on a surface driven by the geodesic curvature and external force. Zbl 1097.35084
Mikula, Karol; Ševčovič, Daniel
13
2006
Manifold evolution with tangential redistribution of points. Zbl 1328.53086
Mikula, Karol; Remešíková, Mariana; Sarkoci, Peter; Ševčovič, Daniel
13
2014
A coarsening finite element strategy in image selective smoothing. Zbl 0971.65084
Bänsch, Eberhard; Mikula, Karol
12
1997
Lagrangean method with topological changes for numerical modelling of forest fire propagation. Zbl 1278.65131
Balažovjech, Martin; Mikula, Karol; Petrášová, Mária; Urbán, Jozef
12
2012
A new level set method for motion in normal direction based on a semi-implicit forward-backward diffusion approach. Zbl 1223.65072
Mikula, Karol; Ohlberger, Mario
11
2010
Inflow-implicit/outflow-explicit scheme for solving advection equations. Zbl 1246.65167
Mikula, Karol; Ohlberger, Mario
10
2011
Simulation of anisotropic motion by mean curvature – comparison of phase field and sharp interface approaches. Zbl 0963.80004
Beneš, M.; Mikula, K.
9
1998
Cells segmentation from 3-D confocal images of early zebrafish embryogenesis. Zbl 1371.94449
Zanella, Cecilia; Campana, Matteo; Rizzi, Barbara; Melani, Camilo; Sanguinetti, Gonzalo; Bourgine, Paul; Mikula, Karol; Peyriéras, Nadine; Sarti, Alessandro
9
2010
Comparison study for level set and direct Lagrangian methods for computing Willmore flow of closed planar curves. Zbl 1213.35033
Beneš, Michal; Mikula, Karol; Oberhuber, Tomáš; Ševčovič, Daniel
9
2009
Semi-implicit finite volume level set method for advective motion of interfaces in normal direction. Zbl 1320.65124
Frolkovič, Peter; Mikula, Karol; Urbán, Jozef
8
2015
Slow and fast diffusion effects in image processing. Zbl 0971.65085
Kacur, Jozef; Mikula, Karol
7
2001
3D embryogenesis image segmentation by the generalized subjective surfaces method using the finite volume technique. Zbl 1374.94259
Mikula, K.; Peyriéras, N.; Remešíková, M.; Sarti, A.
7
2008
A simple, fast and stabilized flowing finite volume method for solving general curve evolution equations. Zbl 1364.65175
Mikula, Karol; Sevcovic, Daniel; Balazovjech, Martin
7
2010
Numerical solution of nonlinear diffusion with finite extinction phenomenon. Zbl 0852.35080
Mikula, K.
6
1995
Finite volume schemes for the generalized subjective surface equation in image segmentation. Zbl 1209.68473
Mikula, Karol; Remešíková, Mariana
6
2009
Adaptivity in 3D image processing. Zbl 0996.65104
Bänsch, Eberhard; Mikula, Karol
6
2001
Error estimates of the finite volume scheme for the nonlinear tensor-driven anisotropic diffusion. Zbl 1172.65052
Drblíková, Olga; Handlovičová, Angela; Mikula, Karol
6
2009
Co-volume method for Riemannian mean curvature flow in subjective surfaces multiscale segmentation. Zbl 1511.65104
Mikula, Karol; Sarti, Alessandro; Sgallari, Fiorella
6
2006
Numerical modeling of wildland surface fire propagation by evolving surface curves. Zbl 1415.65206
Ambroz, Martin; Balažovjech, Martin; Medl’a, Matej; Mikula, Karol
6
2019
Solution of nonlinearly curvature driven evolution of plane curves. Zbl 0938.65145
Mikula, Karol; Ševčovič, Daniel
5
1999
Evolution of convex plane curves describing anisotropic motions of phase interfaces. Zbl 0868.35063
Mikula, Karol; Kačur, Jozef
5
1996
Finite volume schemes for solving nonlinear partial differential equations in financial mathematics. Zbl 1246.91150
Kútik, Pavol; Mikula, Karol
5
2011
Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
5
2015
Semi-implicit level set method with inflow-based gradient in a polyhedron mesh. Zbl 1365.65204
Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav
5
2017
Inflow-based gradient finite volume method for a propagation in a normal direction in a polyhedron mesh. Zbl 1371.65092
Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav
5
2017
Iterative inflow-implicit outflow-explicit finite volume scheme for level-set equations on polyhedron meshes. Zbl 1442.65196
Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Medl’a, Matej; Basara, Branislav
5
2019
Counting number of cells and cell segmentation using advection-diffusion equations. Zbl 1140.35468
Frolkovič, Peter; Mikula, Karol; Peyriéras, Nadine; Sarti, Alex
4
2007
Stability and consistency of the semi-implicit co-volume scheme for regularized mean curvature flow equation in level set formulation. Zbl 1199.35197
Handlovičová, Angela; Mikula, Karol
4
2008
Image processing with partial differential equations. Zbl 1065.94502
Mikula, Karol
4
2002
4D numerical schemes for cell image segmentation and tracking. Zbl 1246.65166
Mikula, K.; Peyriéeras, N.; Remešíková, M.; Smíšek, M.
4
2011
A new tangentially stabilized 3D curve evolution algorithm and its application in virtual colonoscopy. Zbl 1296.65030
Mikula, Karol; Urbán, Jozef
4
2014
Computational and qualitative aspects of evolution of curves driven by curvature and external force. Zbl 1522.53008
Mikula, Karol; Ševčovič, Daniel
4
2004
Solving the oblique derivative boundary-value problem by the finite volume method. Zbl 1278.65166
Macák, Marek; Mikula, Karol; Minarechová, Zuzana
4
2012
4D embryogenesis image analysis using PDE methods of image processing. Zbl 1198.94020
Bourgine, Paul; Čunderlík, Róbert; Drblíková-Stašová, Olga; Mikula, Karol; Remešíková, Mariana; Peyriéras, Nadine; Rizzi, Barbara; Sarti, Alessandro
4
2010
Semi-implicit second order schemes for numerical solution of level set advection equation on Cartesian grids. Zbl 1427.65162
Frolkovič, Peter; Mikula, Karol
4
2018
Semi-implicit finite volume scheme for image processing in 3D cylindrical geometry. Zbl 1042.65069
Mikula, Karol; Sgallari, Fiorella
3
2003
Numerical simulation of dislocation dynamics. Zbl 1163.65309
Minárik, Vojtěch; Kratochvíl, Jan; Mikula, Karol; Beneš, Michal
3
2004
Numerical simulation of dislocation dynamics by means of parametric approach. Zbl 1312.74022
Minárik, Vojtěch; Kratochvíl, Jan; Mikula, Karol
3
2005
Flux balanced approximation with least-squares gradient for diffusion equation on polyhedral mesh. Zbl 1465.65116
Frolkovič, Peter; Mikula, Karol; Hahn, Jooyoung; Martin, Dirk; Basara, Branislav
3
2021
Numerical solution of the linearized fixed gravimetric boundary-value problem. Zbl 1162.86306
Čunderlík, R.; Mikula, K.; Mojzeš, M.
2
2008
An adaptive finite volume method in processing of color images. Zbl 1012.35002
Krivá, Zuzana; Mikula, Karol
2
2001
Solution of nonlinear curvature driven evolution of plane convex curves. Zbl 0877.65068
Mikula, Karol
2
1997
Gradient schemes for image processing. Zbl 1246.65163
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2
2011
Semi-implicit diamond-cell finite volume scheme for 3D nonlinear tensor diffusion in coherence enhancing image filtering. Zbl 1374.94088
Drblíková, Olga; Mikula, Karol
2
2008
Distance function and extension in normal direction for implicitly defined interfaces. Zbl 1321.76045
Frolkovič, Peter; Mikula, Karol; Urbán, Jozef
2
2015
Diamond-cell finite volume scheme for the Heston model. Zbl 1317.35103
Kútik, Pavol; Mikula, Karol
2
2015
Parameter estimation for the forest fire propagation model. Zbl 1475.35346
Ambroz, Martin; Mikula, Karol; Fraštia, Marek; Marčiš, Marián
2
2020
The finite element method as a tool to solve the oblique derivative boundary value problem in geodesy. Zbl 1475.65198
Macák, Marek; Minarechová, Zuzana; Čunderlík, Róbert; Mikula, Karol
2
2020
Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling. Zbl 1453.65389
Droniou, Jérôme; Medla, Matej; Mikula, Karol
2
2019
Semi-automatic segmentation of NATURA 2000 habitats in sentinel-2 satellite images by evolving open curves. Zbl 1468.35215
Mikula, Karol; Urbán, Jozef; Kollár, Michal; Ambroz, Martin; Jarolímek, Ivan; Šibík, Jozef; Šibíková, Mária
2
2021
Approximation of nonlinear parabolic equations using a family of conformal and non-conformal schemes. Zbl 1264.65159
Eymard, Robert; Handlovičová, Angela; Mikula, Karol
2
2012
Gravimetric quasigeoid in Slovakia by the finite element method. Zbl 1205.86041
Fašková, Zuzana; Mikula, Karol; Čunderliḱ, Róbert; Janák, Juraj; Šprlál, Michal
1
2007
Computing minimal surfaces by mean curvature flow with area-oriented tangential redistribution. Zbl 1413.53024
Tomek, L.; Remešíková, M.; Mikula, K.
1
2018
The boundary element method applied to the determination of the global quasigeoid. Zbl 1056.86500
Čunderlík, R.; Mikula, K.; Mojzeš, M.
1
2001
Numerical solution of parabolic equations related to level set formulation of mean curvature flow. Zbl 0912.68210
Handlovičová, Angela; Mikula, Karol; Sarti, Alessandro
1
1998
Tangentially stabilized Lagrangian algorithm for elastic curve evolution driven by intrinsic Laplacian of curvature. Zbl 1180.65019
Mikula, Karol; Ševčovič, Daniel
1
2005
Adaptive diamond cell finite volume method in image processing. Zbl 1173.94322
Krivá, Zuzana; Mikula, Karol
1
2009
Semi-implicit second order accurate finite volume method for advection-diffusion level set equation. Zbl 1320.65123
Balažovjech, Martin; Frolkovič, Peter; Frolkovič, Richard; Mikula, Karol
1
2014
3D Lagrangian segmentation with simultaneous mesh adjustment. Zbl 1320.65037
Mikula, Karol; Remešíková, Mariana
1
2014
Nonlinear PDE based numerical methods for cell tracking in zebrafish embryogenesis. Zbl 1320.65126
Mikula, Karol; Špir, Róbert; Smíšek, Michal; Faure, Emmanuel; Peyriéras, Nadine
1
2015
Numerical algorithm for tracking cell dynamics in 4D biomedical images. Zbl 1325.35238
Peyriéras, Nadine; Špir, Róbert; Mikula, Karol
1
2015
Macrophage image segmentation by thresholding and subjective surface method. Zbl 1475.65095
Park, Seol Ah; Sipka, Tamara; Krivá, Zuzana; Ambroz, Martin; Kollár, Jozef; Kósa, Balázs; Chi, Mai Nguyen; Lutfalla, Georges; Mikula, Karol
1
2020
Finite volume method with the Soner boundary condition for computing the signed distance function on polyhedral meshes. Zbl 07767258
Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav
1
2022
Reconstruction of surfaces from point clouds using a Lagrangian surface evolution model. Zbl 1450.65017
Daniel, Patrik; Medl’a, Matej; Mikula, Karol; Remešíková, Mariana
1
2015
Cell-centered finite volume method for regularized mean curvature flow on polyhedral meshes. Zbl 1451.65119
Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Balažovjech, Martin; Basara, Branislav
1
2020
A new form-finding method based on mean curvature flow of surfaces. Zbl 1278.53014
Húska, Martin; Medl’a, Matej; Mikula, Karol; Novysedlák, Peter; Remešíková, Mariana
1
2012
Parallel algorithms for segmentation of cellular structures in 2D+time and 3D morphogenesis data. Zbl 1278.65210
Mikula, Karol; Smíšek, Michal; Špir, Róbert
1
2012
3D image segmentation supported by a point cloud. Zbl 1471.65148
Kósa, Balázs; Mikula, Karol; Olunna Uba, Markjoe; Weberling, Antonia; Christodoulou, Neophytos; Zernicka-Goetz, Magdalena
1
2021
Computational optimization in solving the geodetic boundary value problems. Zbl 1460.65107
Macák, Marek; Čunderlík, Róbert; Mikula, Karol; Minarechová, Zuzana
1
2021
An automated segmentation of NATURA 2000 habitats from sentinel-2 optical data. Zbl 1468.35214
Mikula, Karol; Urbán, Jozef; Kollár, Michal; Ambroz, Martin; Jarolímek, Ivan; Šibík, Jozef; Šibíková, Mária
1
2021
Finite volume method with the Soner boundary condition for computing the signed distance function on polyhedral meshes. Zbl 07767258
Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav
1
2022
Flux balanced approximation with least-squares gradient for diffusion equation on polyhedral mesh. Zbl 1465.65116
Frolkovič, Peter; Mikula, Karol; Hahn, Jooyoung; Martin, Dirk; Basara, Branislav
3
2021
Semi-automatic segmentation of NATURA 2000 habitats in sentinel-2 satellite images by evolving open curves. Zbl 1468.35215
Mikula, Karol; Urbán, Jozef; Kollár, Michal; Ambroz, Martin; Jarolímek, Ivan; Šibík, Jozef; Šibíková, Mária
2
2021
3D image segmentation supported by a point cloud. Zbl 1471.65148
Kósa, Balázs; Mikula, Karol; Olunna Uba, Markjoe; Weberling, Antonia; Christodoulou, Neophytos; Zernicka-Goetz, Magdalena
1
2021
Computational optimization in solving the geodetic boundary value problems. Zbl 1460.65107
Macák, Marek; Čunderlík, Róbert; Mikula, Karol; Minarechová, Zuzana
1
2021
An automated segmentation of NATURA 2000 habitats from sentinel-2 optical data. Zbl 1468.35214
Mikula, Karol; Urbán, Jozef; Kollár, Michal; Ambroz, Martin; Jarolímek, Ivan; Šibík, Jozef; Šibíková, Mária
1
2021
Parameter estimation for the forest fire propagation model. Zbl 1475.35346
Ambroz, Martin; Mikula, Karol; Fraštia, Marek; Marčiš, Marián
2
2020
The finite element method as a tool to solve the oblique derivative boundary value problem in geodesy. Zbl 1475.65198
Macák, Marek; Minarechová, Zuzana; Čunderlík, Róbert; Mikula, Karol
2
2020
Macrophage image segmentation by thresholding and subjective surface method. Zbl 1475.65095
Park, Seol Ah; Sipka, Tamara; Krivá, Zuzana; Ambroz, Martin; Kollár, Jozef; Kósa, Balázs; Chi, Mai Nguyen; Lutfalla, Georges; Mikula, Karol
1
2020
Cell-centered finite volume method for regularized mean curvature flow on polyhedral meshes. Zbl 1451.65119
Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Balažovjech, Martin; Basara, Branislav
1
2020
Numerical modeling of wildland surface fire propagation by evolving surface curves. Zbl 1415.65206
Ambroz, Martin; Balažovjech, Martin; Medl’a, Matej; Mikula, Karol
6
2019
Iterative inflow-implicit outflow-explicit finite volume scheme for level-set equations on polyhedron meshes. Zbl 1442.65196
Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Medl’a, Matej; Basara, Branislav
5
2019
Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling. Zbl 1453.65389
Droniou, Jérôme; Medla, Matej; Mikula, Karol
2
2019
Semi-implicit second order schemes for numerical solution of level set advection equation on Cartesian grids. Zbl 1427.65162
Frolkovič, Peter; Mikula, Karol
4
2018
Computing minimal surfaces by mean curvature flow with area-oriented tangential redistribution. Zbl 1413.53024
Tomek, L.; Remešíková, M.; Mikula, K.
1
2018
Semi-implicit level set method with inflow-based gradient in a polyhedron mesh. Zbl 1365.65204
Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav
5
2017
Inflow-based gradient finite volume method for a propagation in a normal direction in a polyhedron mesh. Zbl 1371.65092
Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav
5
2017
Semi-implicit finite volume level set method for advective motion of interfaces in normal direction. Zbl 1320.65124
Frolkovič, Peter; Mikula, Karol; Urbán, Jozef
8
2015
Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
5
2015
Distance function and extension in normal direction for implicitly defined interfaces. Zbl 1321.76045
Frolkovič, Peter; Mikula, Karol; Urbán, Jozef
2
2015
Diamond-cell finite volume scheme for the Heston model. Zbl 1317.35103
Kútik, Pavol; Mikula, Karol
2
2015
Nonlinear PDE based numerical methods for cell tracking in zebrafish embryogenesis. Zbl 1320.65126
Mikula, Karol; Špir, Róbert; Smíšek, Michal; Faure, Emmanuel; Peyriéras, Nadine
1
2015
Numerical algorithm for tracking cell dynamics in 4D biomedical images. Zbl 1325.35238
Peyriéras, Nadine; Špir, Róbert; Mikula, Karol
1
2015
Reconstruction of surfaces from point clouds using a Lagrangian surface evolution model. Zbl 1450.65017
Daniel, Patrik; Medl’a, Matej; Mikula, Karol; Remešíková, Mariana
1
2015
Inflow-implicit/outflow-explicit finite volume methods for solving advection equations. Zbl 1310.65103
Mikula, Karol; Ohlberger, Mario; Urbán, Jozef
16
2014
Manifold evolution with tangential redistribution of points. Zbl 1328.53086
Mikula, Karol; Remešíková, Mariana; Sarkoci, Peter; Ševčovič, Daniel
13
2014
A new tangentially stabilized 3D curve evolution algorithm and its application in virtual colonoscopy. Zbl 1296.65030
Mikula, Karol; Urbán, Jozef
4
2014
Semi-implicit second order accurate finite volume method for advection-diffusion level set equation. Zbl 1320.65123
Balažovjech, Martin; Frolkovič, Peter; Frolkovič, Richard; Mikula, Karol
1
2014
3D Lagrangian segmentation with simultaneous mesh adjustment. Zbl 1320.65037
Mikula, Karol; Remešíková, Mariana
1
2014
Lagrangean method with topological changes for numerical modelling of forest fire propagation. Zbl 1278.65131
Balažovjech, Martin; Mikula, Karol; Petrášová, Mária; Urbán, Jozef
12
2012
Solving the oblique derivative boundary-value problem by the finite volume method. Zbl 1278.65166
Macák, Marek; Mikula, Karol; Minarechová, Zuzana
4
2012
Approximation of nonlinear parabolic equations using a family of conformal and non-conformal schemes. Zbl 1264.65159
Eymard, Robert; Handlovičová, Angela; Mikula, Karol
2
2012
A new form-finding method based on mean curvature flow of surfaces. Zbl 1278.53014
Húska, Martin; Medl’a, Matej; Mikula, Karol; Novysedlák, Peter; Remešíková, Mariana
1
2012
Parallel algorithms for segmentation of cellular structures in 2D+time and 3D morphogenesis data. Zbl 1278.65210
Mikula, Karol; Smíšek, Michal; Špir, Róbert
1
2012
Study of a finite volume scheme for the regularized mean curvature flow level set equation. Zbl 1241.65072
Eymard, Robert; Handlovičová, Angela; Mikula, Karol
14
2011
A higher-order scheme for a tangentially stabilized plane curve shortening flow with a driving force. Zbl 1276.65048
Balažovjech, Martin; Mikula, Karol
13
2011
Inflow-implicit/outflow-explicit scheme for solving advection equations. Zbl 1246.65167
Mikula, Karol; Ohlberger, Mario
10
2011
Finite volume schemes for solving nonlinear partial differential equations in financial mathematics. Zbl 1246.91150
Kútik, Pavol; Mikula, Karol
5
2011
4D numerical schemes for cell image segmentation and tracking. Zbl 1246.65166
Mikula, K.; Peyriéeras, N.; Remešíková, M.; Smíšek, M.
4
2011
Gradient schemes for image processing. Zbl 1246.65163
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2
2011
A new level set method for motion in normal direction based on a semi-implicit forward-backward diffusion approach. Zbl 1223.65072
Mikula, Karol; Ohlberger, Mario
11
2010
Cells segmentation from 3-D confocal images of early zebrafish embryogenesis. Zbl 1371.94449
Zanella, Cecilia; Campana, Matteo; Rizzi, Barbara; Melani, Camilo; Sanguinetti, Gonzalo; Bourgine, Paul; Mikula, Karol; Peyriéras, Nadine; Sarti, Alessandro
9
2010
A simple, fast and stabilized flowing finite volume method for solving general curve evolution equations. Zbl 1364.65175
Mikula, Karol; Sevcovic, Daniel; Balazovjech, Martin
7
2010
4D embryogenesis image analysis using PDE methods of image processing. Zbl 1198.94020
Bourgine, Paul; Čunderlík, Róbert; Drblíková-Stašová, Olga; Mikula, Karol; Remešíková, Mariana; Peyriéras, Nadine; Rizzi, Barbara; Sarti, Alessandro
4
2010
Comparison study for level set and direct Lagrangian methods for computing Willmore flow of closed planar curves. Zbl 1213.35033
Beneš, Michal; Mikula, Karol; Oberhuber, Tomáš; Ševčovič, Daniel
9
2009
Finite volume schemes for the generalized subjective surface equation in image segmentation. Zbl 1209.68473
Mikula, Karol; Remešíková, Mariana
6
2009
Error estimates of the finite volume scheme for the nonlinear tensor-driven anisotropic diffusion. Zbl 1172.65052
Drblíková, Olga; Handlovičová, Angela; Mikula, Karol
6
2009
Adaptive diamond cell finite volume method in image processing. Zbl 1173.94322
Krivá, Zuzana; Mikula, Karol
1
2009
Convergence analysis of finite volume scheme for nonlinear tensor anisotropic diffusion in image processing. Zbl 1233.65063
Drblíková, Olga; Mikula, Karol
14
2008
3D embryogenesis image segmentation by the generalized subjective surfaces method using the finite volume technique. Zbl 1374.94259
Mikula, K.; Peyriéras, N.; Remešíková, M.; Sarti, A.
7
2008
Stability and consistency of the semi-implicit co-volume scheme for regularized mean curvature flow equation in level set formulation. Zbl 1199.35197
Handlovičová, Angela; Mikula, Karol
4
2008
Numerical solution of the linearized fixed gravimetric boundary-value problem. Zbl 1162.86306
Čunderlík, R.; Mikula, K.; Mojzeš, M.
2
2008
Semi-implicit diamond-cell finite volume scheme for 3D nonlinear tensor diffusion in coherence enhancing image filtering. Zbl 1374.94088
Drblíková, Olga; Mikula, Karol
2
2008
High-resolution flux-based level set method. Zbl 1141.76041
Frolkovič, Peter; Mikula, Karol
19
2007
Flux-based level set method: A finite volume method for evolving interfaces. Zbl 1120.65093
Frolkovič, Peter; Mikula, Karol
17
2007
Counting number of cells and cell segmentation using advection-diffusion equations. Zbl 1140.35468
Frolkovič, Peter; Mikula, Karol; Peyriéras, Nadine; Sarti, Alex
4
2007
Gravimetric quasigeoid in Slovakia by the finite element method. Zbl 1205.86041
Fašková, Zuzana; Mikula, Karol; Čunderliḱ, Róbert; Janák, Juraj; Šprlál, Michal
1
2007
Semi-implicit covolume method in 3D image segmentation. Zbl 1126.65088
Corsaro, S.; Mikula, K.; Sarti, A.; Sgallari, F.
17
2006
Evolution of curves on a surface driven by the geodesic curvature and external force. Zbl 1097.35084
Mikula, Karol; Ševčovič, Daniel
13
2006
Co-volume method for Riemannian mean curvature flow in subjective surfaces multiscale segmentation. Zbl 1511.65104
Mikula, Karol; Sarti, Alessandro; Sgallari, Fiorella
6
2006
Numerical simulation of dislocation dynamics by means of parametric approach. Zbl 1312.74022
Minárik, Vojtěch; Kratochvíl, Jan; Mikula, Karol
3
2005
Tangentially stabilized Lagrangian algorithm for elastic curve evolution driven by intrinsic Laplacian of curvature. Zbl 1180.65019
Mikula, Karol; Ševčovič, Daniel
1
2005
Geometrical image segmentation by the Allen-Cahn equation. Zbl 1055.94502
Beneš, Michal; Chalupecký, Vladimír; Mikula, Karol
70
2004
A direct method for solving an anisotropic mean curvature flow of plane curves with an external force. Zbl 1049.35019
Mikula, Karol; Ševčovič, Daniel
29
2004
Computational and qualitative aspects of evolution of curves driven by curvature and external force. Zbl 1522.53008
Mikula, Karol; Ševčovič, Daniel
4
2004
Numerical simulation of dislocation dynamics. Zbl 1163.65309
Minárik, Vojtěch; Kratochvíl, Jan; Mikula, Karol; Beneš, Michal
3
2004
Semi-implicit complementary volume scheme for solving level set like equations in image processing and curve evolution. Zbl 1065.65105
Handlovičová, Angela; Mikula, Karol; Sgallari, Fiorella
26
2003
Semi-implicit finite volume scheme for image processing in 3D cylindrical geometry. Zbl 1042.65069
Mikula, Karol; Sgallari, Fiorella
3
2003
Image processing with partial differential equations. Zbl 1065.94502
Mikula, Karol
4
2002
Evolution of plane curves driven by a nonlinear function of curvature and anisotropy. Zbl 0980.35078
Mikula, Karol; Sevcovic, Daniel
34
2001
Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing. Zbl 1013.65094
Mikula, Karol; Ramarosy, Narisoa
19
2001
Slow and fast diffusion effects in image processing. Zbl 0971.65085
Kacur, Jozef; Mikula, Karol
7
2001
Adaptivity in 3D image processing. Zbl 0996.65104
Bänsch, Eberhard; Mikula, Karol
6
2001
An adaptive finite volume method in processing of color images. Zbl 1012.35002
Krivá, Zuzana; Mikula, Karol
2
2001
The boundary element method applied to the determination of the global quasigeoid. Zbl 1056.86500
Čunderlík, R.; Mikula, K.; Mojzeš, M.
1
2001
Solution of nonlinearly curvature driven evolution of plane curves. Zbl 0938.65145
Mikula, Karol; Ševčovič, Daniel
5
1999
Simulation of anisotropic motion by mean curvature – comparison of phase field and sharp interface approaches. Zbl 0963.80004
Beneš, M.; Mikula, K.
9
1998
Numerical solution of parabolic equations related to level set formulation of mean curvature flow. Zbl 0912.68210
Handlovičová, Angela; Mikula, Karol; Sarti, Alessandro
1
1998
A coarsening finite element strategy in image selective smoothing. Zbl 0971.65084
Bänsch, Eberhard; Mikula, Karol
12
1997
Solution of nonlinear curvature driven evolution of plane convex curves. Zbl 0877.65068
Mikula, Karol
2
1997
Evolution of convex plane curves describing anisotropic motions of phase interfaces. Zbl 0868.35063
Mikula, Karol; Kačur, Jozef
5
1996
Solution of nonlinear diffusion appearing in image smoothing and edge detection. Zbl 0823.65089
Kačur, Jozef; Mikula, Karol
18
1995
Numerical solution of nonlinear diffusion with finite extinction phenomenon. Zbl 0852.35080
Mikula, K.
6
1995
all top 5

Cited by 456 Authors

48 Mikula, Karol
23 Frolkovič, Peter
14 Beneš, Michal
14 Kim, Junseok
11 Handlovičová, Angela
10 Li, Yibao
10 Ševčovič, Daniel
9 Garcke, Harald
8 Hahn, Jooyoung
8 Sgallari, Fiorella
7 Basara, Branislav
7 Jeong, Darae
7 Nürnberg, Robert
7 Yazaki, Shigetoshi
6 Lee, Chaeyoung
6 Morigi, Serena
6 Remešiková, Mariana
6 Urbán, Jozef
6 Wei, Guowei
5 Barrett, John William
5 Choi, Yongho
5 Čunderliḱ, Róbert
5 Dehghan Takht Fooladi, Mehdi
5 Droniou, Jérôme
5 Eymard, Robert
5 Herbin, Raphaèle
5 Medl’a, Matej
5 Oberhuber, Tomás
5 Qian, Xu
5 Reichel, Lothar
5 Song, Songhe
5 Weng, Zhifeng
5 Yang, Junxiang
4 Jacobs, Byron A.
4 Kolář, Miroslav
4 Lee, Dongsun
4 Lee, Hyun Geun
4 Peyriéras, Nadine
4 Yi, Dokkyun
4 Zhang, Hong
3 Ambroz, Martin
3 Balazovjech, Martin
3 Chen, Zhan
3 Jia, Hongen
3 Kim, Hyundong
3 Kollár, Michal
3 Krivá, Zuzana
3 Strachota, Pavel
3 Tomek, Lukáš
3 Wang, Danxia
2 Abedian, Rooholah
2 Aizinger, Vadym
2 Andreianov, Boris
2 Baker, Nathan A.
2 Bendahmane, Mostafa
2 Benninghoff, Heike
2 Blank, Luise
2 Bradji, Abdallah
2 Bungert, Leon
2 Chabiniok, Radomír
2 Chen, Yaoyao
2 Dechaumphai, Pramote
2 Deng, Yangfang
2 Drblíková, Olga
2 Du, Qingqing
2 Feng, Xinlong
2 Gallouët, Thierry
2 Goto, Maika
2 Huang, Yunqing
2 Illangasekare, Tissa H.
2 Insall, R. H.
2 Jarolímek, Ivan
2 Kacur, Jozef
2 Karasözen, Bülent
2 Kim, Eunyoun
2 Kovacs, Balazs A.
2 Kuwana, Kazunori
2 Kwak, Soobin
2 Lai, Mingchih
2 Lantarón, Sagrario
2 Lee, June-Yub
2 Llanas, Bernardo
2 Macák, Marek
2 Mackenzie, J. A.
2 Minarechová, Zuzana
2 Momoniat, Ebrahim
2 Novysedlák, Peter
2 Olunna Uba, Markjoe
2 Phongthanapanich, Sutthisak
2 Pozzi, Paola
2 Prasath, V. B. Surya
2 Sakakibara, Koya
2 Sarbu, Lavinia
2 Sarti, Alessandro
2 Seol, Yunchang
2 Šibík, Jozef
2 Šibíková, Mária
2 Smíšek, Michal
2 Špir, Róbert
2 Stašová, Olga
...and 356 more Authors
all top 5

Cited in 91 Serials

19 Applied Mathematics and Computation
18 Applied Numerical Mathematics
16 Computers & Mathematics with Applications
16 Kybernetika
15 Discrete and Continuous Dynamical Systems. Series S
13 Journal of Computational Physics
13 Journal of Computational and Applied Mathematics
11 Journal of Scientific Computing
9 Computing and Visualization in Science
7 Numerical Methods for Partial Differential Equations
6 Japan Journal of Industrial and Applied Mathematics
6 Applications of Mathematics
6 SIAM Journal on Scientific Computing
5 Numerische Mathematik
5 Journal of Mathematical Imaging and Vision
5 Advances in Computational Mathematics
4 Computational and Applied Mathematics
3 Bulletin of Mathematical Biology
3 Mathematics and Computers in Simulation
3 Applied Mathematics Letters
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Numerical Algorithms
3 Applied Mathematical Modelling
3 Mathematical Problems in Engineering
3 Computational Geosciences
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Inverse Problems and Imaging
2 Computer Physics Communications
2 Journal of Mathematical Biology
2 Mathematical Methods in the Applied Sciences
2 Physica A
2 BIT
2 Tatra Mountains Mathematical Publications
2 International Journal of Computer Vision
2 Abstract and Applied Analysis
2 Interfaces and Free Boundaries
2 Discrete and Continuous Dynamical Systems. Series B
2 Advances in Applied Mathematics and Mechanics
2 SMAI Journal of Computational Mathematics
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 International Journal for Numerical Methods in Fluids
1 Inverse Problems
1 Journal of Fluid Mechanics
1 International Journal for Numerical Methods in Engineering
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 SIAM Journal on Numerical Analysis
1 Tôhoku Mathematical Journal. Second Series
1 Circuits, Systems, and Signal Processing
1 European Journal of Applied Mathematics
1 The Journal of Geometric Analysis
1 International Journal of Computer Mathematics
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Physics of Fluids
1 Journal of Mathematical Sciences (New York)
1 Engineering Analysis with Boundary Elements
1 Differential Equations and Dynamical Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Vietnam Journal of Mathematics
1 European Journal of Mechanics. B. Fluids
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Communications in Nonlinear Science and Numerical Simulation
1 The ANZIAM Journal
1 Nonlinear Analysis. Real World Applications
1 Archives of Computational Methods in Engineering
1 Journal of Systems Science and Complexity
1 Journal of Applied Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Applied Mathematics and Computing
1 International Journal of Computational Methods
1 Journal of Hyperbolic Differential Equations
1 Mediterranean Journal of Mathematics
1 International Journal of Numerical Analysis and Modeling
1 GAMM-Mitteilungen
1 Acta Mechanica Sinica
1 Communications in Computational Physics
1 GEM - International Journal on Geomathematics
1 JSIAM Letters
1 Journal of Computational Dynamics
1 Journal of Mathematics
1 East Asian Journal on Applied Mathematics
1 Sahand Communications in Mathematical Analysis
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Bollettino dell’Unione Matematica Italiana
1 AIMS Mathematics
1 International Journal on Finite Volumes

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