Michal Kollár

Dr. Michal Kollár

orcid

Research Focus & Metrics

Academic Career Length

11Years (2016-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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26 August 2021 in Remote Sensing
Verified
Journal Article
Open access
PDF file
KMKarol Mikula
Karol Mikula
Maria SibikovaMaria Sibikova
Maria Sibikova
MAMartin Ambroz
Martin Ambroz
MKMichal Kollár
Michal Kollár
AOAneta A. Ožvat
Aneta A. Ožvat
Jozef ŠibíkJozef Šibík
Jozef Šibík
The NaturaSat software integrates various image processing techniques together with vegetation data, into one multipurpose tool that is designed for performing facilities for all requirements of habitat exploration, all in one place. It provides direct access to multispectral Sentinel-2 data provided by the European Space Agency. It supports using these data with various vegetation databases, in a user-friendly environment, for, e.g., vegetation scientists, fieldwork experts, and nature conservationists. The presented study introduces the NaturaSat software, describes new powerful tools, such as the semi-automatic and automatic segmentation methods, and natural numerical networks, together with validated examples comparing field surveys and software outputs. The software is robust enough for field work researchers and stakeholders to accurately extract target units’ borders, even on the habitat level. The deep learning algorithm, developed for habitat classification within the NaturaSat software, can also be used in various research tasks or in nature conservation practices, such as identifying ecosystem services and conservation value. The exact maps of the habitats obtained within the project can improve many further vegetation and landscape ecology studies.

1 January 2021 in Discrete and Continuous Dynamical Systems - S
Verified
Journal Article
Closed access
PDF file
KMKarol Mikula
Karol Mikula
JUJozef Urbán
Jozef Urbán
MKMichal Kollár
Michal Kollár
MAMartin Ambroz
Martin Ambroz
IJIvan Jarolímek
Ivan Jarolímek
Maria SibikovaMaria Sibikova
Maria Sibikova
In this paper, we present a mathematical model and numerical method designed for the segmentation of satellite images, namely to obtain in an automated way borders of Natura 2000 habitats from Sentinel-2 optical data. The segmentation model is based on the evolving closed plane curve approach in the Lagrangian formulation including the efficient treatment of topological changes. The model contains the term expanding the curve in its outer normal direction up to the region of habitat boundary edges, the term attracting the curve accurately to the edges and the smoothing term given by the influence of local curvature. For the numerical solution, we use the flowing finite volume method discretizing the arising advection-diffusion intrinsic partial differential equation including the asymptotically uniform tangential redistribution of curve grid points. We present segmentation results for satellite data from a selected area of Western Slovakia (Záhorie) where the so-called riparian forests represent the important European Natura 2000 habitat. The automatic segmentation results are compared with the semi-automatic segmentation performed by the botany expert and with the GPS tracks obtained in the field. The comparisons show the ability of our numerical model to segment the habitat areas with the accuracy comparable to the pixel resolution of the Sentinel-2 optical data.

19 November 2022 in Applied Mathematical Modelling
Verified
Journal Article
Closed access
KMKarol Mikula
Karol Mikula
MKMichal Kollár
Michal Kollár
AOAneta A. Ožvat
Aneta A. Ožvat
MAMartin Ambroz
Martin Ambroz
LČLucia Čahojová
Lucia Čahojová
MŠMária Šibíková
Mária Šibíková

1 January 2021 in Discrete and Continuous Dynamical Systems - S
Verified
Journal Article
Open access
PDF file
KMKarol Mikula
Karol Mikula
JUJozef Urbán
Jozef Urbán
MKMichal Kollár
Michal Kollár
MAMartin Ambroz
Martin Ambroz
IJIvan Jarolímek
Ivan Jarolímek
Maria SibikovaMaria Sibikova
Maria Sibikova
In this paper we introduce mathematical model and real-time numerical method for segmentation of Natura 2000 habitats in satellite images by evolving open planar curves. These curves in the Lagrangian formulation are driven by a suitable velocity vector field, projected to the curve normal. Besides the vector field, the evolving curve is influenced also by the local curvature representing a smoothing term. The model is numerically solved using the flowing finite volume method discretizing the arising intrinsic partial differential equation with Dirichlet boundary conditions. The time discretization is chosen as an explicit due to the ability of real-time edge tracking. We present the results of semi-automatic segmentation of various areas across Slovakia, from the riparian forests to mountainous areas with scrub pine. The numerical results were compared to habitat boundaries tracked by GPS device in the field by using the mean and maximal Hausdorff distances as criterion.

10 May 2023
Verified
Book Chapter
Closed access
PDF file
KMKarol Mikula
Karol Mikula
MKMichal Kollár
Michal Kollár
AOAneta A. Ožvat
Aneta A. Ožvat
Maria SibikovaMaria Sibikova
Maria Sibikova
LČLucia Čahojová
Lucia Čahojová

1 April 2020 in Tatra Mountains Mathematical Publications
Verified
Journal Article
Open access
PDF file
SPSeol Ah Park
Seol Ah Park
TSTamara Sipka
Tamara Sipka
ZKZuzana Krivá
Zuzana Krivá
MAMartin Ambroz
Martin Ambroz
MKMichal Kollár
Michal Kollár
KMKarol Mikula
Karol Mikula
We introduce two level-set method approaches to segmentation of 2D macrophage images. The first one is based on the Otsu thresholding and the second one on the information entropy thresholding, both followed by the classical subjective surface (SUBSURF) method. Results of both methods are compared with the semi-automatic Lagrangian method in which the segmentation curve evolves along the edge of the macrophage and it is controlled by an expert user. We present the comparison of all three methods with respect to the Hausdorff distance of resulting segmentation curves and we compare also their perimeter and enclosed area. We show that accuracy of the automatic SUBSURF method is comparable to the results of the semi-automatic Lagrangian segmentation.