Multiphase image segmentation using a phase-field model

Authors:
Yibao Li;Junseok Kim
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 16
Cited 4

Variational methods in image segmentation

Variational methods in image segmentation
A Level Set Model for Image Classification

International Journal of Computer Vision
Multigrid

Multigrid
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model

International Journal of Computer Vision
A phase field approach in the numerical study of the elastic bending energy for vesicle membranes

Journal of Computational Physics
Geometrical image segmentation by the Allen-Cahn equation

Applied Numerical Mathematics
A Posteriori Error Estimates and an Adaptive Finite Element Method for the Allen--Cahn Equation and the Mean Curvature Flow

Journal of Scientific Computing
A continuous surface tension force formulation for diffuse-interface models

Journal of Computational Physics
Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method

Journal of Computational Physics
Image Segmentation Using Some Piecewise Constant Level Set Methods with MBO Type of Projection

International Journal of Computer Vision
An efficient moving mesh spectral method for the phase-field model of two-phase flows

Journal of Computational Physics
Image segmentation using a multilayer level-set approach

Computing and Visualization in Science
Solving the Chan-Vese model by a multiphase level set algorithm based on the topological derivative

SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Multiphase Soft Segmentation with Total Variation and H1 Regularization

Journal of Mathematical Imaging and Vision
An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation

Computers & Mathematics with Applications
Level Set Segmentation With Multiple Regions

IEEE Transactions on Image Processing

Maximum local energy: An effective approach for multisensor image fusion in beyond wavelet transform domain

Computers & Mathematics with Applications
Support vector machine for breast MR image classification

Computers & Mathematics with Applications
Special Section on CAD/Graphics 2013: Multi-branched cerebrovascular segmentation based on phase-field and likelihood model

Computers and Graphics
Surface embedding narrow volume reconstruction from unorganized points

Computer Vision and Image Understanding

Quantified Score

Hi-index	0.09

Visualization

Abstract

In this paper, we propose a new, fast, and stable hybrid numerical method for multiphase image segmentation using a phase-field model. The proposed model is based on the Allen-Cahn equation with a multiple well potential and a data-fitting term. The model is computationally superior to the previous multiphase image segmentation via Modica-Mortola phase transition and a fitting term. We split its numerical solution algorithm into linear and a nonlinear equations. The linear equation is discretized using an implicit scheme and the resulting discrete system of equations is solved by a fast numerical method such as a multigrid method. The nonlinear equation is solved analytically due to the availability of a closed-form solution. We also propose an initialization algorithm based on the target objects for the fast image segmentation. Finally, various numerical experiments on real and synthetic images with noises are presented to demonstrate the efficiency and robustness of the proposed model and the numerical method.