A NUMERICAL METHOD FOR THE MODIFIED VECTOR-VALUED ALLEN-CAHN PHASE-FIELD MODEL AND ITS APPLICATION TO MULTIPHASE IMAGE SEGMENTATION

Journal of the Korea Society for Industrial and Applied Mathematics ◽

10.12941/jksiam.2014.18.027 ◽

2014 ◽

Vol 18 (1) ◽

pp. 27-41

Author(s):

Hyun Geun Lee ◽

June-Yub Lee

Keyword(s):

Image Segmentation ◽

Numerical Method ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

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Color Image Segmentation by the Vector-Valued Allen–Cahn Phase-Field Model: A Multigrid Solution

IEEE Transactions on Image Processing ◽

10.1109/tip.2009.2026678 ◽

2009 ◽

Vol 18 (10) ◽

pp. 2330-2339 ◽

Author(s):

D.A. Kay ◽

A. Tomasi

Keyword(s):

Image Segmentation ◽

Phase Field ◽

Field Model ◽

Color Image ◽

Phase Field Model ◽

Color Image Segmentation ◽

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Multiphase image segmentation using a phase-field model

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2011.05.054 ◽

2011 ◽

Vol 62 (2) ◽

pp. 737-745 ◽

Author(s):

Yibao Li ◽

Junseok Kim

Keyword(s):

Image Segmentation ◽

Phase Field ◽

Field Model ◽

Phase Field Model

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A thermodynamically consistent numerical method for a phase field model of solidification

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2013.11.016 ◽

2014 ◽

Vol 19 (7) ◽

pp. 2309-2323 ◽

Author(s):

B. Gonzalez-Ferreiro ◽

H. Gomez ◽

I. Romero

Keyword(s):

Numerical Method ◽

Phase Field ◽

Field Model ◽

Phase Field Model

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A phase-field model and its efficient numerical method for two-phase flows on arbitrarily curved surfaces in 3D space

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113382 ◽

2020 ◽

Vol 372 ◽

pp. 113382

Author(s):

Junxiang Yang ◽

Junseok Kim

Keyword(s):

Numerical Method ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Curved Surfaces ◽

Two Phase Flows ◽

Two Phase ◽

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A FAST NUMERICAL METHOD FOR A SIMPLIFIED PHASE FIELD MODEL

Mathematical Methods in Scattering Theory and Biomedical Engineering ◽

10.1142/9789812773197_0022 ◽

2006 ◽

Author(s):

CHR. A. SFYRAKIS ◽

V. A. DOUGALIS

Keyword(s):

Numerical Method ◽

Phase Field ◽

Field Model ◽

Phase Field Model

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Vector-valued phase field model for crystallization and grain boundary formation

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(98)00026-8 ◽

1998 ◽

Vol 119 (3-4) ◽

pp. 415-423 ◽

Author(s):

R. Kobayashi ◽

J.A. Warren ◽

W.C. Carter

Keyword(s):

Grain Boundary ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Boundary Formation ◽

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A Numerical Method for Two-Phase Flow Based on a Phase-Field Model

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.71.117 ◽

2005 ◽

Vol 71 (701) ◽

pp. 117-124 ◽

Author(s):

Naoki TAKADA ◽

Akio TOMIYAMA

Keyword(s):

Numerical Method ◽

Phase Field ◽

Field Model ◽

Two Phase Flow ◽

Phase Field Model ◽

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A vector-valued phase field model for polycrystalline solidification using operator splitting method

Computational Materials Science ◽

10.1016/j.commatsci.2019.02.045 ◽

2019 ◽

Vol 163 ◽

pp. 37-49

Author(s):

Jian-kun Ren ◽

Yun Chen ◽

Bin Xu ◽

Ming-yue Sun ◽

Dian-zhong Li

Keyword(s):

Phase Field ◽

Field Model ◽

Operator Splitting ◽

Splitting Method ◽

Phase Field Model ◽

Operator Splitting Method ◽

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Energy stable and mass conservative numerical method for a generalized hydrodynamic phase-field model with different densities

Physics of Fluids ◽

10.1063/5.0027627 ◽

2020 ◽

Vol 32 (11) ◽

pp. 117103

Author(s):

Jisheng Kou ◽

Xiuhua Wang ◽

Meilan Zeng ◽

Jianchao Cai

Keyword(s):

Numerical Method ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Conservative Numerical Method ◽

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207 Parallelization of Numerical Method for two-dimensional Non-equilibrium Multi-Phase Field Model of Quinary System

The Proceedings of The Computational Mechanics Conference ◽

10.1299/jsmecmd.2015.28._207-1_ ◽

2015 ◽

Vol 2015.28 (0) ◽

pp. _207-1_-_207-2_

Author(s):

Kazuki Mori ◽

Masahito Segawa ◽

Yuko Nomura ◽

Akinori Yamanaka ◽

Sukeharu Nomoto

Keyword(s):

Numerical Method ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Two Dimensional ◽

Quinary System ◽

Multi Phase ◽

Non Equilibrium

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