Some papers can be downloaded from this web page. The Copyright of published versions has been transferred to publishers.

2021

Book

O.Stašová, M.Medľa: Softvér Mathematica: prvý diel (in Slovak, Software Mathematica: first part), Publishing House of the Slovak University of Technology in Bratislava, ISBN 978-80-227-5138-4, 2021, 206 pages. (pdf file)

Journal papers

M. Kalina, O.Stašová: Idempotent uninorms and nullnorms on bounded posets. Iranian Journal of Fuzzy Systems, Vol. 18, No. 5 (2021), pp. 53-68 .

2019

Proceedings papers

Z.Krivá, O.Stašová: Speckle Removing Anisotropic Diffusion Based on PDE Models Discretized by the Finite Volume Method. Proceedings of Aplimat 2019 Conference.

2018

Journal papers

O.Stašová, Z.Krivá: Regularized Coherence Enhancing Filtration. Tatra Mountains Mathematical Publications, Vol. 72, 2018. (pdf file)

2017

Proceedings papers

O.Stašová, K.Mikula, A.Handlovičová, N.Peyriéras: Nonlinear Tensor Diffusion in Image Processing. Proceedings of Equadiff 2017 Conference, Bratislava, July 24-28, 2017, K. Mikula, D. Ševčovič and J. Urbán, Eds. Published by Slovak University of Technology, SPEKTRUM STU Publishing, (2017), pp. 377-386, ISBN: 978-80-227-4757-8.

2016

Book

Z.Krivá, K.Mikula, O.Stašová: Spracovanie obrazu (in Slovak, Image Processing), Publishing House of the Slovak University of Technology in Bratislava, ISBN 978-80-227-4535-2 (2016), 149 pages.

Journal papers

E.Faure, T.Savy, B.Rizzi, C.Melani, O.Stašová, D.Fabreges, R.Špír, M.Hammons, R.Čunderlík, G.Recher, B.Lombardot, L.Duloquin, I.Colin, J.Kollár, S.Desnoulez, P.Affaticati, B.Maury, A.Boyreau, J.-Y. Nief, P.Calvat, P.Vernier, M.Frain, G.Lutfalla, Y.Kergosien, P.Suret, M.Remešíková, R.Doursat, A.Sarti, K.Mikula, N.Peyriéras, P.Bourgine: A workflow to process 3D+time microscopy images of developing organisms and reconstruct their cell lineage, Nature Communications 7, Article number: 8674, doi:10.1038/ncomms9674, February 2016.

2015

Journal papers

R.Eymard, A.Handlovičová, R.Herbin, K.Mikula, O.Stašová: Applications of approximate gradient schemes for nonlinear parabolic equations, Applications of Mathematics, Vol. 60, No. 2 (2015) pp. 135-156.

2011

Journal papers

K.Mikula, N.Peyriéras, M.Remešíková, O.Stašová: 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.

Proceedings papers

R.Eymard, A.Handlovičová, R.Herbin, K.Mikula, O.Stašová: Gradient Schemes for Image Processing, in Finite Volumes in Complex Applications VI, Problems & Perspectives, Eds. J.Foet 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.

2010

Journal papers

Z.Krivá, K.Mikula, N.Peyriéras, B.Rizzi, A.Sarti, O.Stašová: 3D Early Embryogenesis Image Filtering by Nonlinear Partial Differential Equations, Medical Image Analysis, Vol. 14, No. 4 (2010) pp. 510-526. (pdf file)

P.Bourgine, R.Čunderlík, O.Drblíková, K.Mikula, N.Peyriéras, M.Remešíková, 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)

Proceedings papers

K.Mikula, N.Peyriéras, M.Remešíková, O.Stašová: 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.

2009

Journal papers

Drblíková, O., Handlovičová A., Mikula, K.: Error Estimates of the Finite Volume Scheme for the Nonlinear Tensor Anisotropic Diffusion. Applied Numerical Mathematics, Vol. 59, No. 10, 2009, 2548-2570. (pdf file)

Proceedings papers

Drblíková, O., Mikula, K., Peyriéras, N.: The Nonlinear Tensor Diffusion in Segmentation of Meaningful Biological Structures from Image Sequences of Zebrafish Embryogenesis. Scale Space and Variational Methods in Computer Vision, Proceedings. Springer Berlin Heidelberg, 2009, 63-74. (pdf file)

2008

Proceedings papers

Drblíková, O., Mikula, K.: Semi-implicit Diamond-cell Finite Volume Scheme for 3D Nonlinear Tensor Diffusion in Coherence Enhancing Image Filtering. In: Finite Volumes for Complex Applications, Proceecings of the 5th International Symposium on Finite Volumes for Complex Applications (FVCA5). Published in Great Britain and the United States in 2008 by ISTE Ltd and John Wiley & Sons, Inc., ISBN 978-1-84821-035-6, pp. 343-350. (pdf file)

2007

Journal papers

Drblíková, O., Mikula, K.: Convergence Analysis of Finite Volume Scheme for Nonlinear Tensor Anisotropic Diffusion in Image Processing. In: SIAM Journal on Numerical Analysis, Vol. 46, No. 1, 2007, 37-60.

Published version of the paper: (pdf file)
Supplemented version of the paper with more detailed proof of the convergence of the term $T_4$: (pdf file)

Drblíková, O.: Uniform a priori estimates for discrete solution of nonlinear tensor diffusion equation in image processing. In: Kybernetika, Vol. 43, No. 6, 2007, 777-788. (pdf file)

Drblíková, O., Komorníková, M., Remešíková, M., Bourgine, P., Mikula, K., Peyriéras, N., Sarti, A.: Estimate of the Cell Number Growth Rate using PDE Methods of Image Processing and Time Series Analysis. In: Journal of Electrical engineering., Vol. 58, No. 7/s, 2007, 86-92. (pdf file)

2006

Journal papers

Drblíková, O.: Semi-implicit Finite Volume Schemes for Solving Tensor Diffusion in Image Processing. In: Journal of Electrical engineering, Vol. 57, No. 7/s, 2006, 9-13. (pdf file)

2005

Proceedings papers

Drblíková, O.: Finite Volume Schemes for Tensor Anisotropic Diffusion in Image Processing. In: Proceedings MaGiA (Mathematics, Geometry and their Applications), Ko�ovce 2005, STU Bratislava, pp. 7-18. (pdf file)

2004

Proceedings papers

Drblíková, O.: Computational Methods Based on Nonlinear Diffusion in Image Processing. In: Proceedings MaGiA (Mathematics, Geometry and their Applications), Ko�ovce 2004, STU Bratislava, pp. 36-49. (pdf file)