Two approaches for the approximation of the nonlinear smoothing term in the image segmentation
Tibenský, Matúš; Handlovičová, Angela
- Proceedings of Equadiff 14, Publisher: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing(Bratislava), page 229-236
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topTibenský, Matúš, and Handlovičová, Angela. "Two approaches for the approximation of the nonlinear smoothing term in the image segmentation." Proceedings of Equadiff 14. Bratislava: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, 2017. 229-236. <http://eudml.org/doc/294911>.
@inProceedings{Tibenský2017,
abstract = {Purpose of the paper is to study nonlinear smoothing term initiated in [3], [4], [6] and [7] for problems of image segmentation and missing boundaries completion. The generalization of approach presented in [1] is proposed and applied in the field of image segmentation. So called regularised Riemannian mean curvature flow equation is studied and the construction of the numerical scheme based on the finite volume method approach is explained. The principle of the level set, for the first time given in [2], is used. We mention two different approaches for the approximation of the nonlinear smoothing term in the equation and known theoretical results for both of them. We provide the numerical tests for both schemes. It the last section we discuss obtained results and propose possibilities for the future research.},
author = {Tibenský, Matúš, Handlovičová, Angela},
booktitle = {Proceedings of Equadiff 14},
keywords = {Image segmentation, level set, regularised Riemannian mean curvature flow equation, finite volume method, approximation of the nonlinear smoothing term},
location = {Bratislava},
pages = {229-236},
publisher = {Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing},
title = {Two approaches for the approximation of the nonlinear smoothing term in the image segmentation},
url = {http://eudml.org/doc/294911},
year = {2017},
}
TY - CLSWK
AU - Tibenský, Matúš
AU - Handlovičová, Angela
TI - Two approaches for the approximation of the nonlinear smoothing term in the image segmentation
T2 - Proceedings of Equadiff 14
PY - 2017
CY - Bratislava
PB - Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing
SP - 229
EP - 236
AB - Purpose of the paper is to study nonlinear smoothing term initiated in [3], [4], [6] and [7] for problems of image segmentation and missing boundaries completion. The generalization of approach presented in [1] is proposed and applied in the field of image segmentation. So called regularised Riemannian mean curvature flow equation is studied and the construction of the numerical scheme based on the finite volume method approach is explained. The principle of the level set, for the first time given in [2], is used. We mention two different approaches for the approximation of the nonlinear smoothing term in the equation and known theoretical results for both of them. We provide the numerical tests for both schemes. It the last section we discuss obtained results and propose possibilities for the future research.
KW - Image segmentation, level set, regularised Riemannian mean curvature flow equation, finite volume method, approximation of the nonlinear smoothing term
UR - http://eudml.org/doc/294911
ER -
References
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