Comparison of finite volume schemes for the mean curvature flow level set equation

Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Comparison of finite volume schemes for the mean curvature flow level set equation
Original language description
We discuss two different semi-implicit numerical schemes based on the finite volume method for approximation of the regularised mean curvature flow level set equation. The first, CVS scheme, is based on co-volume strategy and nonlinear terms, given by absolute value of gradient, are evaluated on pixel sides using splitted diamond-cell approach]. In the second, EHM scheme, the absolute values of gradients are evlauated inside the pixels by the Stokes formula and the scheme is obtained by imposing the continuity of fluxes on pixel sides. Results concerning numerical analysis of the schemes are presented and a comparison of these numerical approximations on several representative examples are discussed including performance in image filtering. On testingexamples with exact solutions the schemes behave similarly in solution error, but the EHM scheme has higher precision in gradient error. Finite volume numerical schemes also perform better in the filtering of a strong salt & pepper noise
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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