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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00202876" target="_blank" >RIV/68407700:21340/12:00202876 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu.html" target="_blank" >http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu.html</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

RIMS Kokyuroku

ISSN

1880-2818

e-ISSN

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Svazek periodika

B35

Číslo periodika v rámci svazku

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Stát vydavatele periodika

JP - Japonsko

Počet stran výsledku

14

Strana od-do

9-22

Kód UT WoS článku

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EID výsledku v databázi Scopus

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