Semi-automatic segmentation of natura 2000 habitats in sentinel-2 satellite images by evolving open curves. Mikula, K., Urbán, J., Kollár, M., Ambroz, M., Jarolímek, I., Šibík, J., & Šibíková, M. Discrete and Continuous Dynamical Systems - Series S, 14(3):1033 – 1046, American Institute of Mathematical Sciences, 2021. Cited by: 5; All Open Access, Bronze Open Access![Semi-automatic segmentation of natura 2000 habitats in sentinel-2 satellite images by evolving open curves [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex 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. © 2021 American Institute of Mathematical Sciences. All rights reserved.
@ARTICLE{Mikula20211033,
author = {Mikula, Karol and Urbán, Jozef and Kollár, Michal and Ambroz, Martin and Jarolímek, Ivan and Šibík, Jozef and Šibíková, Mária},
title = {Semi-automatic segmentation of natura 2000 habitats in sentinel-2 satellite images by evolving open curves},
year = {2021},
journal = {Discrete and Continuous Dynamical Systems - Series S},
volume = {14},
number = {3},
pages = {1033 – 1046},
doi = {10.3934/dcdss.2020231},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099705116&doi=10.3934%2fdcdss.2020231&partnerID=40&md5=3e22d8d2db280d0e5ab4c2cca453a8e9},
affiliations = {Department of Mathematics, Slovak University of Technology, Radlinského 11, Bratislava, 810 05, Slovakia; Algoritmy:SK, s.r.o, Šulekova 6, Bratislava, 811 06, Slovakia; Institute of Botany, Slovak Academy of Sciences, Dúbravská cesta 9, Bratislava, 845 23, Slovakia},
abstract = {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. © 2021 American Institute of Mathematical Sciences. All rights reserved.},
author_keywords = {Curve evolution; Image segmentation; Natura 2000; Numerical method; Satellite images; Sentinel-2},
correspondence_address = {K. Mikula; Department of Mathematics, Slovak University of Technology, Bratislava, Radlinského 11, 810 05, Slovakia; email: mikula@math.sk},
publisher = {American Institute of Mathematical Sciences},
issn = {19371632},
language = {English},
abbrev_source_title = {Discrete Contin. Dyn. Syst. Ser. S},
type = {Article},
publication_stage = {Final},
source = {Scopus},
note = {Cited by: 5; All Open Access, Bronze Open Access}
}
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