Geodesic
Finite-volume level set method and its adaptive version in completing subjective contours
Kybernetika, Tome 43 (2007) no. 4, pp. 509-522.

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In this paper we deal with a problem of segmentation (including missing boundary completion) and subjective contour creation. For the corresponding models we apply the semi-implicit finite volume numerical schemes leading to methods which are robust, efficient and stable without any restriction to a time step. The finite volume discretization enables to use the spatial adaptivity and thus improve significantly the computational time. The computational results related to image segmentation with partly missing boundaries and subjective contour extraction are presented.
Classification : 35A35, 35K20, 35K55, 65M06, 65M12, 68M10
Keywords: image processing; nonlinear partial differential equations; numerical solution; finite volume method; adaptivity; grid coarsening 
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     author = {Kriv\'a, Zuzana},
     title = {Finite-volume level set method and its adaptive version in completing subjective contours},
     journal = {Kybernetika},
     pages = {509--522},
     publisher = {mathdoc},
     volume = {43},
     number = {4},
     year = {2007},
     mrnumber = {2377929},
     zbl = {1140.35323},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2007__43_4_a11/}
}
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Krivá, Zuzana. Finite-volume level set method and its adaptive version in completing subjective contours. Kybernetika, Tome 43 (2007) no. 4, pp. 509-522. http://geodesic.mathdoc.fr/item/KYB_2007__43_4_a11/