R.Eymard, A.Handlovicova, K.Mikula,
Approximation of nonlinear parabolic equations using a family of conformal
and non-conformal schemes, to appear in Communications in Pure and Applied
Analysis, Volume 11, Issue 1 (2012) pp. 147-172 (pdf file ).
(Some papers can be downloaded from this web page. The Copyright of published versions has been transferred to publishers.)
M.Balazovjech, K.Mikula,
A higher order scheme for a tangentially stabilized plane curve shortening
flow with a driving force, SIAM Journal on Scientific Computing, Vol. 33, No. 5, pp. 2277-2294
(2011) (pdf file ).
R.Eymard, A.Handlovicova, K.Mikula,
Approximation of nonlinear parabolic equations using a family of conformal
and non-conformal schemes, to appear in Communications in Pure and Applied
Analysis, Volume 11, Issue 1 (2012) pp. 147-172 (pdf file ).
K.Mikula, N.Peyrieras, M.Remesikova, O.Stasova, Segmentation of 3D cell membrane images by PDE methods and its applications, Computers in Biology and Medicine, Vol. 41, No. 6 (2011) pp. 326-339 (pdf file ).
R.Eymard, A.Handlovicova, K.Mikula,
Study of a finite volume scheme for the regularised mean curvature flow level set equation, IMA Journal on Numerical Analysis, Vol. 31 (2011) pp. 813-846 ( pdf file ).
M.Sprlák, Z.Faskova, K.Mikula, On the application of the coupled finite-infinite element method to the geodetic boundary value problem, Studia Geophysica et Geodaetica, Vol. 55 (2011) pp. 479-487 ( pdf file ).
Y.Bellaiche, F.Bosveld, F.Graner, K.Mikula, M.Remesikova, M.Smisek, New Robust Algorithm for Tracking Cells in Videos of Drosophila Morphogenesis Based on Finding an Ideal Path in Segmented Spatio-Temporal Cellular Structures, Proceeding of the 33rd Annual International IEEE EMBS Conference, Boston Marriott Copley Place, Boston, MA, USA, August 30 - September 3, 2011, IEEE Press, 2011, 4 pages ( pdf file ).
K.Mikula, J.Urban, 3D curve evolution algorithm with tangential redistribution for a fully automatic finding of an ideal camera path in virtual colonoscopy, in Proceedings of the Third International
Conference on Scale Space Methods and Variational Methods in Computer
Vision, May 29th - June 2nd, 2011, Ein Gedi, Dead Sea, Israel, Lecture
Notes in Computer Science Series, Springer, 2011 ( pdf file ).
K.Mikula, M.Ohlberger, Inflow-Implicit/Outflow-Explicit Scheme for Solving Advection Equations, in Finite Volumes in Complex Applications VI, Problems & Perspectives, Eds. J.Foĝt et al. (Proceedings of the Sixth International Conference on Finite Volumes in Complex Applications, Prague, June 6-10, 2011), Springer Verlag, 2011, pp. 683-692
pdf file ).
K.Mikula, N.Peyrieras, M.Remesikova, M.Smisek, 4D numerical schemes for cell image
segmentation and tracking,
in Finite Volumes in Complex Applications VI, Problems & Perspectives, Eds. J.Foĝt et al. (Proceedings of the Sixth International Conference on Finite Volumes in Complex Applications, Prague, June 6-10, 2011), Springer Verlag, 2011, pp. 693-702 pdf file ).
P.Kutik, K.Mikula, Finite Volume Schemes for Solving Nonlinear
Partial Differential Equations in Financial
Mathematics,
in Finite Volumes in Complex Applications VI, Problems & Perspectives, Eds. J.Foĝt et al. (Proceedings of the Sixth International Conference on Finite Volumes in Complex Applications, Prague, June 6-10, 2011), Springer Verlag, 2011, pp. 643-652 ( pdf file ).
R.Eymard, A.Handlovicova, R.Herbin, K.Mikula, O.Stasova, Gradient Schemes for Image Processing,
in Finite Volumes in Complex Applications VI, Problems & Perspectives, Eds. J.Foĝt et al. (Proceedings of the Sixth International Conference on Finite Volumes in Complex Applications, Prague, June 6-10, 2011), Springer Verlag, 2011, pp. 429-438
( pdf file ).
K.Mikula, M.Ohlberger, A new level set method for motion in normal direction
based on a semi-implicit forward-backward diffusion approach,
SIAM Journal on Scientific Computing, Vol. 32, No. 3 (2010) pp. 1527-1544
( pdf file of the preprint version with more
figures than in the accepted version).
P.Bourgine, R.Cunderlik, O.Drblikova, K.Mikula, N.Peyrieras, M.Remesikova,
B.Rizzi, A.Sarti, 4D embryogenesis image analysis using PDE methods of image
processing, Kybernetika, Vol. 46, No. 2 (2010) pp. 226-259
( pdf file)
Z.Kriva, K.Mikula, N.Peyrieras, B.Rizzi, A.Sarti, O.Stasova,
3D Early Embryogenesis Image Filtering by Nonlinear Partial Differential
Equations, Medical Image Analysis, Vol. 14, No. 4 (2010) pp.
510-526
( pdf file)
C.Zanella, M.Campana, B.Rizzi, C.Melani, G.Sanguinetti, P.Bourgine,
K.Mikula, N.Peyrieras, A.Sarti,
Cells Segmentation from 3-D Confocal Images of Early Zebrafish
Embryogenesis, IEEE Transactions on Image Processing, Vol.19, No.3 (2010)
pp. 770-781
(
abstract)( pdf file)
R.Cunderlik, K.Mikula,
Direct BEM for high-resolution gravity field modelling,
Studia Geophysica et Geodetica,
Vol. 54, No. 2 (2010) pp. 219-238
( pdf file)
Z.Faskova, R.Cunderlik, K.Mikula,
Finite element method for solving geodetic boundary value problems,
Journal of Geodesy, Vol. 84, Issue 2 (2010) pp 135-144
( pdf file)
K.Mikula, D.Sevcovic, M.Balazovjech, A simple, fast and stabilized flowing
finite volume method
for solving general curve evolution equations,
Communications in Computational Physics, Vol. 7, No. 1 (2010) pp. 195-211
( pdf file)
K.Mikula, N.Peyrieras, M.Remesikova, O.Stasova,
Segmentation and analysis of 3D zebrafish cell image data,
Proceeding of the 3rd International Congress on Image and Signal Processing CISP-BMEI 2010,
Yantai, China, Vol. 3 (2010) pp. 1444-1448
(pdf file)
R.Eymard, A.Handlovicova, K.Mikula, Non-diffusive numerical scheme for
regularized mean curvature flow level set equation in image processing,
Proceedings of the 3rd International Congress on Image and Signal Processing CISP-BMEI 2010, Yantai,
China, Vol. 2 (2010) pp. 748-753
(pdf file)
K.Mikula, M.Ohlberger, A new Inflow-Implicit/Outflow-Explicit Finite
Volume Method for Solving Variable Velocity Advection Equations,
Preprint 01/10 - N, Angewandte Mathematik und Informatik,
Universitaet Muenster, June 2010
( pdf file).
R.Eymard, A.Handlovicova, K.Mikula,
Approximation of nonlinear parabolic equations using a family of conformal
and non-conformal schemes, January 2010 (
pdf file ).
D.Sevcovic, B.Stehlikova, K.Mikula, Analyticke a numericke metody ocenovania
financnych derivatov (in Slovak, Analytical and numerical methods for
pricing derivative securities),
Publishing
House of the Slovak University of Technology in Bratislava, ISBN
978-80-227-3014-3 (2009) 200 pages
( pdf file containing selected pages)
O.Drblikova, A.Handlovicova, K.Mikula,
Error estimates of the finite volume scheme for the
nonlinear tensor-driven anisotropic diffusion,
Applied Numerical Mathematics, Vol. 59, No. 10
(2009) pp. 2548-2570
( pdf file - preprint version)
K.Mikula, M.Remesikova, Finite volume schemes for the generalized subjective
surface equation in image segmentation, Kybernetika, Vol. 45, No. 4 (2009)
pp. 646-656
( pdf file)
M.Benes, K.Mikula, T.Oberhuber, D.Sevcovic,
Comparison study for Level set and Direct Lagrangian methods
for computing Willmore flow of closed planar curves,
Computing and Visualization in Science, Vol. 12, No. 6 (2009) pp. 307-317
(pdf file)
P.Bourgine, P.Frolkovic, K.Mikula, N.Peyrieras, M.Remesikova,
Extraction of the intercellular skeleton from 2D microscope images of early
embryogenesis, in
Lecture Notes in Computer Science 5567 (Proceeding of the 2nd International
Conference on Scale Space and Variational Methods in Computer Vision, Voss,
Norway, June 1-5,2009), Springer (2009) pp. 38-49
(pdf file)
O.Drblikova, K.Mikula, N.Peyrieras,
The nonlinear tensor diffusion in segmentation of meaningful biological
structures from image sequences of zebrafish embryogenesis,
in Lecture Notes in Computer Science 5567 (Proceeding of the 2nd International
Conference on Scale Space and Variational Methods in Computer Vision, Voss,
Norway, June 1-5,2009), Springer (2009)
(pdf file)
M.Balazovjech, K.Mikula,
A higher order scheme for the curve shortening flow of plane curves,
Proceedings of contributed papers and posters,
ALGORITMY 2009 -
18th Conference on Scientific Computing, Vysoke Tatry-Podbanske, Slovakia,
March 15-20, 2009, Publishing
House of the Slovak University of Technology in Bratislava, ISBN
978-80-227-3032-7 (2009) pp. 165-175
(pdf file)
Z.Kriva, K.Mikula,
Adaptive diamond cell finite volume method in image processing,
Proceedings of contributed papers and posters,
ALGORITMY 2009 -
18th Conference on Scientific Computing, Vysoke Tatry-Podbanske, Slovakia,
March 15-20, 2009, Publishing
House of the Slovak University of Technology in Bratislava, ISBN
978-80-227-3032-7 (2009) pp. 121-133
(pdf file)
J.Urban, K.Mikula,
Segmentacia medicinskych dat pomocou pohybujucich sa rovinnych
kriviek (Segmentation of medical data using evolving plane curves),
Proceedings of the conference Mathematics, Geometry and their Applications
MAGIA 2009, Kocovce, Slovakia (2009)
(pdf file in Slovak)
(video)
R.Spir, R.Cunderlik, K.Mikula,
Riesenie geodetickej okrajovej ulohy so sikmou derivaciou
metodou okrajovych prvkov (Solution of the geodetic boundary value problem
with the oblique derivative using the boundary element method),
Proceedings of the conference Mathematics, Geometry and their Applications
MAGIA 2009, Kocovce, Slovakia (2009)
(pdf file in Slovak)
M.Tunega, R.Cunderlik, K.Mikula,
Filtracia geodetickych dat na povrchu Zeme pomocou nelinearnych difuznych
rovnic (Filtration of geodetic data on the Earth surface using nonlinear
diffusion equations),
Proceedings of the conference Mathematics, Geometry and their Applications
MAGIA 2009, Kocovce, Slovakia (2009)
(pdf file in Slovak)
K.Mikula, M.Ohlberger, A new level set method for motion in normal direction
based on a forward-backward diffusion formulation,
Technical Report 05/09 - N, FB 10 , Universitaet Muenster, Number 05/09 - N -
May 2009
( pdf file), see also
link .
R.Eymard, A.Handlovicova, K.Mikula,
Study of a finite volume scheme for the regularised mean curvature flow
level set equation, July 2009
pdf file .
A.Handlovicova, K.Mikula,
Stability and consistency of the semi-implicit co-volume scheme for
regularized mean curvature flow equation in level set formulation,
Applications of Mathematics, Vol. 53, No. 2 (2008) pp. 105-129
(pdf file)
R.Cunderlik, K.Mikula, M.Mojzes,
Numerical solution of the linearized fixed gravimetric boundary value
problem, Journal of Geodesy,
Vol. 82, No. 1 (2008) pp. 15-29
(pdf file)
K.Mikula, N.Peyrieras, M.Remesikova, A.Sarti,
3D embryogenesis image segmentation by the generalized subjective surface
method using the finite volume technique, in
Finite Volumes for Complex Applications V: Problems and Perspectives (Eds.
R.Eymard, J.M.Herard), ISTE and WILEY, London, 2008, pp. 585-592
(pdf file)
O.Drblikova, K.Mikula, Semi-implicit diamond-cell finite volume scheme for
3D nonlinear tensor diffusion in coherence enhancing image filtering,
in
Finite Volumes for Complex Applications V: Problems and Perspectives (Eds.
R.Eymard, J.M.Herard), ISTE and WILEY, London, 2008, pp. 343-350
(pdf file)
K.Mikula, A.Sarti,
Parallel co-volume subjective surface method for 3D medical image
segmentation, in: Parametric and Geometric Deformable Models: An
application in Biomaterials and Medical Imagery, Volume-II, Springer
Publishers, (Eds. Jasjit S. Suri and Aly Farag), ISBN: 0-387-31204-8, 2007,
pp. 123-160
(pdf file)
O.Drblikova, K.Mikula,
Convergence analysis of finite volume scheme for nonlinear tensor
anisotropic diffusion in image processing,
SIAM Journal on Numerical Analysis, Vol. 46, No.1 (2007) pp. 37-60
( version with fully detailed convergence
proof)
P.Frolkovic, K.Mikula,
High-resolution flux-based level set method,
SIAM Journal on Scientific Computing, Vol. 29, No. 2 (2007) pp. 579-597
(pdf file),
see also Preprint 2005
P.Frolkovic,
K.Mikula,
Flux-based level set method: a finite volume method for evolving interfaces,
Applied Numerical Mathematics, Vol. 57, No. 4 (2007) pp. 436-454
(pdf file), see also Preprint 2003
O.Drblikova, M.Komornikova, M.Remesikova, P.Bourgine, K.Mikula, N.Peyrieras,
A.Sarti, Estimate of the cell number growth rate using PDE methods of image
processing and time series analysis,
Journal of Electrical Engineering, Vol. 58, No 7/s (2007) pp. 86-92
(pdf file)
P.Frolkovic, K.Mikula, N.Peyrieras, A.Sarti,
A counting number of cells and cell segmentation using advection-diffusion
equations, Kybernetika, Vol. 43, No. 6(2007) pp. 817-829
(pdf file)
Z.Faskova, R.Cunderlik, J.Janak, K.Mikula, M.Sprlak,
Gravimetric quasigeoid in Slovakia by the finite element method,
Kybernetika, Vol. 43, No. 6(2007) pp. 789-796
(pdf file)
B.Rizzi, M.Campana, C.Zanella, C.Melani, R.Cunderlík,
Z.Krivá, P.Bourgine, K.Mikula, N.Peyrieras, A.Sarti, 3D
zebrafish embryo image filtering by nonlinear partial differential
equations, Conf. Proc. IEEE Eng. Med. Biol. Soc. (2007) No.1, pp. 6251-4
(pdf file)
C.Zanella, B.Rizzi, C.Melani, M.Campana, P.Bourgine, K.Mikula,
N.Peyrieras, A.Sarti, Segmentation of
Cells from 3-D Confocal Images of Live Zebrafish Embryo, Conf. Proc. IEEE
Eng. Med. Biol. Soc. (2007) No.1, pp. 6027-30
(pdf file)
C.Melani, M.Campana, B.Lombardot, B.Rizzi, F.Veronesi,
C.Zanella, P.Bourgine, K.Mikula, N.Peyrieras,
A.Sarti, Cells tracking in a live zebrafish embryo, Conf. Proc.
IEEE Eng. Med. Biol. Soc. (2007) No.1, pp. 1631-4
(pdf file)
K.Mikula, Numerical solution, analysis and application of geometrical
nonlinear diffusion equations, Edition of Scientific Publications,
No. 34, Publishing House of the Slovak University of Technology, Bratislava,
2006, ISBN 80-227-2392-4
(pdf file)
S.Corsaro, K.Mikula, A.Sarti, F.Sgallari,
Semi-implicit co-volume method in 3D image
segmentation, SIAM Journal on Scientific Computing, Vol. 28, No. 6 (2006)
pp. 2248-2265
(pdf file)
K.Mikula, A.Sarti, F.Sgallari,
Co-volume method for Riemannian mean curvature flow in subjective surfaces
multiscale segmentation, Computing and Visualization in Science, Vol. 9,
No. 1 (2006) pp. 23-31
(pdf file)
K.Mikula,
D.Sevcovic, Evolution of curves on surface driven by the geodesic
curvature and external force, Applicable Analysis, Vol. 85, No. 4 (2006) pp.
345-362
(pdf file)
K.Mikula, A.Sarti, F.Sgallari,
Co-volume level set method in subjective surface based medical image
segmentation, in: Handbook of Medical Image Analysis: Segmentation and
Registration Models (J.Suri et al., Eds.),
Springer, New York, 2005, pp. 583-626
(pdf file)
(poscript file)
R.Cunderlik, K.Mikula, Boundary element method for the gravity field
modelling in the Himalayas, Slovak Journal of Civil Engineering, Volume
XIII, 2005/4, pp. 13-18
J.Lovas, K.Mikula, Mathematical modeling of a combined hot-water heating
system by means of the finite element method,
Slovak Journal of Civil Engineering, Volume
XIII, 2005/2, pp. 15-19
K.Mikula, D.Sevcovic,
Tangentially stabilized Lagrangian algorithm for elastic curve evolution
driven by intrinsic Laplacian of curvature,
ALGORITMY 2005, Conference on Scientific Computing, Vysoke Tatry-Podbanske,
Slovakia, March 13-18, 2005,
Proceedings of contributed papers and
posters (2005) pp.
32-41
(pdf file)
V. Minarik, J. Kratochvil and K. Mikula,
Numerical simulation of dislocation dynamics by means of parametric
approach,
Proceedings of Czech-Japanese Seminar in Applied Mathematics 2004
, editors M. Benes, J. Mikyska, T. Oberhuber, Faculty of Nuclear
Sciences and Physical Engineering, Czech Technical University in Prague,
2005, ISBN 80-01-03181-0, pp. 128-138
K.Mikula, D.Sevcovic,
Qualitative analysis and computation of a flow of surface curves driven by
the geodesic curvature,
Proceedings of Czech-Japanese Seminar in Applied Mathematics 2004
, editors M. Benes, J. Mikyska, T. Oberhuber, Faculty of Nuclear
Sciences and Physical Engineering, Czech Technical University in Prague,
2005, ISBN 80-01-03181-0, pp. 176-183
P.Frolkovic,
K.Mikula,
High-resolution flux-based level set method,
Preprint 2005-12, Department of Mathematics and Descriptive Geometry,
Slovak University of Technology, Bratislava (2005)
( pdf file)
K.Mikula,
D.Sevcovic,
Computational and qualitative aspects of evolution of curves driven by
curvature and external force,
Computing and Visualization in
Science, Vol. 6, No. 4 (2004) pp. 211-225
(pdf file)
(poscript file)
K.Mikula, D.Sevcovic, A direct method for solving an anisotropic mean
curvature flow of planar curve with an external force,
Mathematical Methods
in Applied Sciences, Vol. 27, No. 13 (2004) pp. 1545-1565
(pdf file)
K.Mikula, T.Preusser, M.Rumpf, Morphological image sequence processing,
Computing and Visualization in
Science, Vol. 6, No. 4 (2004) pp. 197-209
(pdf file)
(poscript file)
M.Benes, V.Chalupecky, K.Mikula, Geometrical image segmentation by the
Allen-Cahn equation,
Applied Numerical Mathematics, Vol. 51 (2004) pp. 187-
205
(pdf file)
R.Cunderlik, M.Mojzes, K.Mikula, A comparison of the variational
solution of the Neumann geodetic boundary value problem with the
geopotential model EGM-96, Contributions to Geophysics and Geodesy, Vol.
34, No. 3 (2004) pp. 209-225 (pdf file)
V.Minarik, J.Kratochvil, K.Mikula, M.Benes, Numerical simulation of
dislocation dynamics, in Numerical Mathematics and Advanced Applications
ENUMATH 2003 (Eds. M.Feistauer et al.), Springer-Verlag, 2004, pp. 631-640
(pdf file)
S.Corsaro, K.Mikula, A.Sarti, F.Sgallari,
Semi-implicit co-volume method in 3D image
segmentation, Preprint 2004-12, Department of Mathematics and Descriptive
Geometry, Slovak University of
Technology, Bratislava (2004)
(pdf file)
(poscript file)
K.Mikula, Editorial: ALGORITMY 2002 conference - Part 1,
Computing and
Visualization in Science,
Vol. 6, No. 4 (2004) pp. 171-172
K.Mikula, Editorial: ALGORITMY 2002 conference - Part 2,
Computing and
Visualization in Science, Vol. 7, No. 1 (2004) pp. 1-2
K.Mikula, T.Preusser, M.Rumpf, F.Sgallari, On anisotropic geometric
diffusion in 3D image processing and image sequence analysis, in Trends in
Nonlinear Analysis (M.Kirkilionis et al. Eds.), Springer, Heidelberg, 2003,
pp. 307-322
(pdf file)
A.Handlovicova, K.Mikula, F.Sgallari,
Semi-implicit complementary volume scheme for solving level set like
equations in image processing and curve evolution,
Numerische Mathematik, Vol. 93, No. 4 (2003) pp. 675-695
(pdf file)
(poscript file)
K.Mikula, F.Sgallari, Semi-implicit finite volume scheme for image
processing in 3D cylindrical geometry,
Journal of Computational and Applied
Mathematics , Vol. 161, No. 1 (2003) pp. 119-132
(pdf file)
(poscript file)
C.Ungvarskŭ, K.Mikula, Numerical solution to two factor model for option
pricing with stochastic volatility, Journal of Electrical Engineering, Vol.
54, No. 12/s (2003) pp. 24-28
(pdf file)
S.Corsaro, V. de Simone, A.Handlovicova, K.Mikula, F.Sgallari, Linear co-
volume scheme for solving anisotropic curvature driven motions, in
Numerical Mathematics and Advanced Applications, ENUMATH 2001 (Eds. F.
Brezzi et al.), Springer-Verlag Italia, Milano, 2003, pp. 483-494
(pdf file)
P.Frolkovic,
K.Mikula,
Flux-based level set method: a finite volume method for evolving interfaces,
Preprint IWR/SFB No. 2003-15 ,
Interdisciplinary Center for Scientific
Computing, University of Heidelberg (2003)
(pdf file - revised version)
K.Mikula,
Image processing with partial differential equations,
in Modern
Methods in Scientific Computing and Applications (A.Bourlioux and M.Gander,
Eds.), NATO Science Ser. II, Vol. 75, Kluwer Academic Publishers, Dodrecht,
2002, pp. 283-322
(pdf file)
(poscript file)
A.Sarti, K.Mikula, F.Sgallari, C.Lamberti,
Nonlinear multiscale analysis models for filtering of 3D+time biomedical
images, in Geometric methods in bio-medical image processing (Ed.
R.Malladi), Springer, 2002, 107-128
Z.Kriva, K.Mikula,
An adaptive finite volume scheme for solving nonlinear diffusion equations
in image processing,
Journal for Visual Communication and Image Representation, Vol. 13,
No.1/2 (2002) pp.22-35
( pdf file)
A.Handlovicova, K.Mikula, F.Sgallari,
Variational numerical methods for
solving nonlinear
diffusion equations
arising in image processing,
Journal for Visual Communication and Image Representation, Vol. 13,
No.1/2 (2002)
pp. 217-237
( pdf file)
A.Sarti, K.Mikula, F.Sgallari, C.Lamberti, Evolutionary PDEs for
biomedical image processing, Journal of Biomedical Informatics, Vol. 35,
No. 2 (2002) pp. 77-91
(pdf file)
A.Handlovicova, K.Mikula: Analysis of a semidiscrete scheme for solving
image smoothing equation of mean curvature flow type,
Acta Math. Univ.
Comenianae, Vol. 71, No. 1 (2002) pp. 93-112
(pdf file)
R.Cunderlik, K.Mikula, M.Mojzes,
3D BEM application to Neumann geodetic
BVP using the collocation with linear basis functions,
ALGORITMY 2002, Conference on Scientific Computing, Vysoke Tatry-Podbanske,
Slovakia, September 8-13, 2002,
Proceedings of contributed papers and
posters (2002) pp.
268-275
(poscript file)
(pdf file)
A.Balazova, D.Barokova, K.Mikula, D.Pfender, A.Soltesz, Numerical
modelling of the groundwater flow in the left floodplain area of the Danube
river,
ALGORITMY 2002, Conference on Scientific Computing, Vysoke
Tatry-Podbanske,
Slovakia, September 8-13, 2002,
Proceedings of contributed papers and
posters (2002) pp. 237-244
(poscript file)
(pdf file)
K.Mikula, Solution and application of anisotropic
curvature driven evolution of curves (and surfaces), in Numerical methods
for viscosity solutions and applications (M.Falcone and Ch. Makridakis,
Eds.),
Series on Advances in Mathematics for Applied Sciences - Vol. 59,
World Scientific, 2001, 173-196
(poscript file)
K.Mikula,
D.Sevcovic,
Evolution of plane curves driven by a nonlinear function of curvature and
anisotropy,
SIAM Journal on Applied Mathematics, Vol.61, No.5 (2001) 1473-1501
(poscript file)
(pdf file)
K.Mikula, N.Ramarosy,
Semi-implicit finite volume scheme for solving nonlinear diffusion equations
in image processing,
Numerische Mathematik 89, No.3 (2001) 561-590
(poscript file)
(pdf file)
E.Baensch, K.Mikula,
Adaptivity in 3D image processing,
Computing and Visualization in Science, Vol. 4, No. 1 (2001) 21-30
(pdf file)
(poscript file)
J.Kacur, K.Mikula,
Slow and fast diffusion effects in image processing,
Computing and Visualization in Science, Vol.3, No.4 (2001)
185-195
(poscript file)
(pdf file)
Z.Kriva, K.Mikula,
Adaptive finite volume schemes in processing of 3D data sets
Journal of Electrical Engineering, Vol 52, No. 10/s (2001) 53-58
K.Mikula, S.Morigi, F.Sgallari, Registration based on evolution models,
in Advanced Signal Processing Algorithms, Architectures and Implementations
XI, Proceedings of SPIE Int. conf. for optical engineering (F.T.Luk, Ed.),
San Diego (2001) pp. 346-356
K.Mikula,
Parallel filtering of three dimensional image sequences,
Daedalus, News from the MINOS
Project, No. 2 (2001) 6-7
(MSWord file)
K.Mikula, S.Morigi, A.Sarti, F.Sgallari: Parallel multiscale filtering
of 2D and 3D image sequences, in Science and Supercomputing at CINECA (Eds.
F.Garofalo, M.Moretti, M.Voli), 2001, pp. 433-441, podiel 25%
K.Mikula, Parallel filtering of three dimensional image sequences, in
Science and Supercomputing at CINECA (Eds. F.Garofalo, M.Moretti, M.Voli),
2001, pp. 674-677
Z.Kriva, K.Mikula,
A model and numerical scheme for processing of color images,
Journal of Electrical Engineering, Vol 51, No. 12/s (2000) 21-25
Z.Kriva, K.Mikula,
An Adaptive Finite Volume Method in Processing of Color Images,
ALGORITMY 2000, Conference on Scientific Computing, Vysoke Tatry-Podbanske,
Slovakia, September 10-15, 2000,
Proceedings of contributed papers and
posters (2000) 174-187
(pdf file)
(poscript file)
R.Cunderlik, K.Mikula, M.Mojzes,
The boundary element method applied to the determination of the global
quasigeoid,
ALGORITMY 2000, Conference on Scientific Computing, Vysoke Tatry-Podbanske,
Slovakia, September 10-15, 2000,
Proceedings of contributed papers and
posters (2000) 301-308
( MSWord file)
D.Sevcovic, K.Mikula: Evolution of plane curves driven by a nonlinear
function of curvature and anisotropy, Equadiff 99, Proceeding of the Int.
Conference on Differential Equations (Eds. B.Fiedler, K. Groger and J.
Spekels), World Scientific (2000) 283-285
A.Sarti, K.Mikula, F.Sgallari,
Nonlinear multiscale analysis of 3D echocardiographic sequences,
IEEE Transactions on Medical Imaging, Vol. 18, No.6 (1999) 453-467
(pdf file)
(poscript file)
K.Mikula, D.Sevcovic,
Solution of nonlinearly curvature driven evolution
of plane curves,
Applied Numerical Mathematics , Vol. 31, No.2 (1999) 191-207
(poscript file)
(pdf file)
M.Benes, K.Mikula, Simulation of anisotropic motion by mean curvature -
comparison of phase field and sharp interface approaches,
Acta Math. Univ. Comenianae, Vol. LXVII, 1 (1998) pp. 17- 42
(poscript file)
(pdf file)
A.Handlovicova, K.Mikula, A.Sarti,
Numerical solution of parabolic equations related to
level set formulation of mean curvature flow,
Computing and Visualization in Science , Vol.1, No. 3 (1998) pp. 179-182
(poscript file)
(pdf file)
J.Janak, M.Mojzes, K.Mikula, Lokalny kvazigeoid v oblasti Bratislavy,
Geodeticky a kartograficky obzor 4/98 (1998) pp. 73-79
K.Mikula, Parcialne diferencialne rovnice a numericke
metody vo financnej matematike,
Zbornik konferencie Matematicka statistika a numericka matematika na
vysokych skolach, Kalnica (1998) pp. 49-85
( MSWord file)
K.Mikula, Numerical experiments on geometry driven diffusion with
applications
in image processing, Science and Supercomputing at CINECA,
Report 1997 (Ed. M.Voli, CINECA
Supercomputing Group) (1998) pp. 689-692
K.Mikula, Solution of nonlinear curvature driven evolution of plane convex curves,
Applied Numerical Mathematics 23 (1997) 347-360
(poscript file)
(pdf file)
E.Baensch, K.Mikula, A coarsening finite
element strategy in image selective smoothing,
Computing and Visualization in Science ,
Vol. 1, No. 1 (1997) pp. 53-61
(poscript file)
(pdf file)
K.Mikula, A.Sarti, C.Lamberti, Geometrical diffusion in
3D-echocardiography,
Proceedings of contributed papers and posters,
ALGORITMY'97, Conference on Scientific Computing, West Tatra
Mountains (1997) pp. 167-181
(pdf file)
(poscript file)
J.Kacur, K.Mikula,
Slowed anisotropic diffusion,
B.t.H.Romeny, L.Florack, J.Koenderink,M. Viergevier (Eds.), Scale-space
theory in computer vision, Lecture Notes in Computer Science,
Vol. 1252,
Proceedings of
1-st International Conference on Scale Space Theory in Computer Vision,
Springer Berlin (1997) pp. 357-360
(pdf file)
(poscript file)
F.Brancaleoni, K.Mikula, A.Sarti, C.Lamberti,
3D echocardiography pre-processing for ventricular volume estimation,
Computers in Cardiology, IEEE Comp. Soc. Press,
Los Alamitos (Proceedings of the 1997 24th
Annual Meeting on Computers in Cardiology, Lund, Sweden) (1997) pp. 311-314
J.Janak, K.Mikula, M.Mojzes, Solution of Geodetic Free Boundary Problem,
Proceedings of contributed papers and posters,
ALGORITMY'97, Conference on Scientific Computing, West Tatra
Mountains (1997) pp. 59-70
K.Mikula, J.Kacur, Evolution of convex plane curves
describing anisotropic motions of phase interfaces,
SIAM J. Scientific Computing, vol.17 No.6 (1996), 1302-1327
J.Kacur, K.Mikula, Solution of nonlinear diffusion
appearing in image smoothing and edge detection,
Applied Numerical Mathematics 17 (1995), 47-59
(pdf file)
K.Mikula, Numerical solution of nonlinear diffusion
with finite extinction phenomenon,
Acta Math. Univ. Comenianae
64/2 (1995), 173-184
(pdf file)
K.Mikula, Spracovanie obrazu nelinearnou difuziou a systemom MATHEMATICA,
Zbornik prednasok 13. Sympozia o algoritmoch ALGORITMY'95, Krpacovo (1995)
pp. 165-171
J.Kacur, K.Mikula,
Numerical solution of the anisotropic curve shortening flow,
Proceedings of International Symposium on Numerical Analysis ISNA'92,
Prague, Part III. Contributed Papers (1992)
pp. 108-121