Karol Mikula

According to our database1, Karol Mikula authored at least 41 papers between 1996 and 2021.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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PhD thesis 
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Bibliography

2021
NaturaSat - A Software Tool for Identification, Monitoring and Evaluation of Habitats by Remote Sensing Techniques.
Remote. Sens., 2021

Direct simple computation of middle surface between 3D point clouds and/or discrete surfaces by tracking sources in distance function calculation algorithms.
CoRR, 2021

4D Segmentation Algorithm with application to 3D+time Image Segmentation.
CoRR, 2021

Natural Numerical Networks for Natura 2000 habitats classification by satellite images.
CoRR, 2021

What was the river Ister in the time of Strabo? A mathematical approach.
CoRR, 2021

2019
Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling.
J. Comput. Phys., 2019

Iterative inflow-implicit outflow-explicit finite volume scheme for level-set equations on polyhedron meshes.
Comput. Math. Appl., 2019

Numerical modeling of wildland surface fire propagation by evolving surface curves.
Adv. Comput. Math., 2019

2018
Semi-implicit second order schemes for numerical solution of level set advection equation on Cartesian grids.
Appl. Math. Comput., 2018

2017
Inflow-Based Gradient Finite Volume Method for a Propagation in a Normal Direction in a Polyhedron Mesh.
J. Sci. Comput., 2017

2016
Adaptive cell-centered finite volume method for diffusion equations on a consistent quadtree grid.
Adv. Comput. Math., 2016

Cell Lineage Tree Reconstruction from Time Series of 3D Images of Zebrafish Embryogenesis.
Proceedings of the Computer Vision - ACCV 2016 Workshops, 2016

2015
Reconstruction of Surfaces from Point Clouds Using a Lagrangian Surface Evolution Model.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2015

2014
Manifold Evolution with Tangential Redistribution of Points.
SIAM J. Sci. Comput., 2014

A new tangentially stabilized 3D curve evolution algorithm and its application in virtual colonoscopy.
Adv. Comput. Math., 2014

2011
A Higher Order Scheme for a Tangentially Stabilized Plane Curve Shortening Flow with a Driving Force.
SIAM J. Sci. Comput., 2011

Segmentation of 3D cell membrane images by PDE methods and its applications.
Comput. Biol. Medicine, 2011

3D Curve Evolution Algorithm with Tangential Redistribution for a Fully Automatic Finding of an Ideal Camera Path in Virtual Colonoscopy.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011

New robust algorithm for tracking cells in videos of drosophila morphogenesis based on finding an ideal path in segmented spatio-temporal cellular structures.
Proceedings of the 33rd Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2011

2010
Cells Segmentation From 3-D Confocal Images of Early Zebrafish Embryogenesis.
IEEE Trans. Image Process., 2010

A New Level Set Method for Motion in Normal Direction Based on a Semi-Implicit Forward-Backward Diffusion Approach.
SIAM J. Sci. Comput., 2010

3D early embryogenesis image filtering by nonlinear partial differential equations.
Medical Image Anal., 2010

Preface.
Kybernetika, 2010

4D Embryogenesis image analysis using PDE methods of image processing.
Kybernetika, 2010

2009
Finite Volume Schemes for the Generalized Subjective Surface Equation in Image Segmentation.
Kybernetika, 2009

The Nonlinear Tensor Diffusion in Segmentation of Meaningful Biological Structures from Image Sequences of Zebrafish Embryogenesis.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

Extraction of the Intercellular Skeleton from 2D Images of Embryogenesis Using Eikonal Equation and Advective Subjective Surface Method.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

2007
High-Resolution Flux-Based Level Set Method.
SIAM J. Sci. Comput., 2007

Convergence Analysis of Finite Volume Scheme for Nonlinear Tensor Anisotropic Diffusion in Image Processing.
SIAM J. Numer. Anal., 2007

Counting number of cells and cell segmentation using advection-diffusion equations.
Kybernetika, 2007

Gravimetric quasigeoid in Slovakia by the finite element method.
Kybernetika, 2007

2006
Semi-Implicit Covolume Method in 3D Image Segmentation.
SIAM J. Sci. Comput., 2006

2003
Semi-implicit complementary volume scheme for solving level set like equations in image processing and curve evolution.
Numerische Mathematik, 2003

2002
An Adaptive Finite Volume Scheme for Solving Nonlinear Diffusion Equations in Image Processing.
J. Vis. Commun. Image Represent., 2002

Variational Numerical Methods for Solving Nonlinear Diffusion Equations Arising in Image Processing.
J. Vis. Commun. Image Represent., 2002

Evolutionary partial differential equations for biomedical image processing.
J. Biomed. Informatics, 2002

2001
Evolution of Plane Curves Driven by a Nonlinear Function of Curvature and Anisotropy.
SIAM J. Appl. Math., 2001

Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing.
Numerische Mathematik, 2001

1999
Nonlinear Multiscale Analysis of 3D Echocardiographic Sequences.
IEEE Trans. Medical Imaging, 1999

1997
Slowed Anisotropic Diffusion.
Proceedings of the Scale-Space Theory in Computer Vision, First International Conference, 1997

1996
Evolution of Convex Plane Curves Describing Anisotropic Motions of Phase Interfaces.
SIAM J. Sci. Comput., 1996


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