• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제18권1호
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• pp.27-41
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• 2014

In this paper, we present an efficient numerical method for multiphase image segmentation using a multiphase-field model. The method combines the vector-valued Allen-Cahn phase-field equation with initial data fitting terms containing prescribed interface width and fidelity constants. An efficient numerical solution is achieved using the recently developed hybrid operator splitting method for the vector-valued Allen-Cahn phase-field equation. We split the modified vector-valued Allen-Cahn equation into a nonlinear equation and a linear diffusion equation with a source term. The linear diffusion equation is discretized using an implicit scheme and the resulting implicit discrete system of equations is solved by a multigrid method. The nonlinear equation is solved semi-analytically using a closed-form solution. And by treating the source term of the linear diffusion equation explicitly, we solve the modified vector-valued Allen-Cahn equation in a decoupled way. By decoupling the governing equation, we can speed up the segmentation process with multiple phases. We perform some characteristic numerical experiments for multiphase image segmentation.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제21권2호
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• pp.63-73
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• 2017

Segmenting the image into multiple regions is at the core of image processing. Many segmentation formulations of an images with multiple regions have been suggested over the years. We consider segmentation algorithm based on the multi-phase level set method in this work. Proposed method gives the best result upon other methods found in the references. Moreover it can segment images with intensity inhomogeneity and have multiple junction. We extend our method (GLIF) in [T. Dultuya, and M. Kang, Segmentation with shape prior using global and local image fitting energy, J.KSIAM Vol.18, No.3, 225-244, 2014.] using a multiphase level set formulation to segment images with multiple regions and junction. We test our method on different images and compare the method to other existing methods.

• 대한의용생체공학회:의공학회지
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• 제28권6호
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• pp.713-720
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• 2007

In image-guided surgery, automatic bone segmentation of Computed Tomography (CT) images is an important but challenging step. Previous attempts include intensity-, edge-, region-, and deformable curve-based approaches [1], but none claims fully satisfactory performance. Although active contour (AC) techniques possess many excellent characteristics, their applications in CT image segmentation have not worthily exploited yet. In this study, we have evaluated the automaticity and performance of the model of Chan-Vese Multiphase AC Without Edges towards knee bone segmentation from CT images. This model is suitable because it is initialization-insensitive and topology-adaptive. Its segmentation results have been qualitatively compared with those from four other widely used AC models: namely Gradient Vector Flow (GVF) AC, Geometric AC, Geodesic AC, and GVF Fast Geometric AC. To quantitatively evaluate its performance, the results from a commercial software and a medical expert have been used. The evaluation results show that the Chan-Vese model provides superior performance with least user interaction, proving its suitability for automatic bone segmentation from CT images.

• 대한의용생체공학회:의공학회지
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• 제23권2호
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• pp.101-107
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• 2002

이 논문에서는 자기공명심장영상에서 내벽과 외벽의 추출을 위한 반자동 분할 알고리즘을 제안하였다. 이 알고리즘은 Generalized gradient vector flow snake와 초기 윤곽선 예측 과정을 기반으로 한다. 특히 이 알고리즘은 내벽과 외벽의 공간적인 특설을 이용하며 Cross profile correlation matching (CPCM)을 사용한다. 현재 공간에서의 이전 시간에 관계된 영상과 현재 시간에서의 공간에 관계된 영상을 사용하여 초기 윤곽선 예측을 더욱 효과적으로 수행하였다. Multislice와 multiphase의 Siemens와 GE. Medinus 자기공명심장영상을 사용하여 실험하였고 많은 영상들에 대해 충분히 만족할만한 결과를 얻었다. 그리고 분할한 결과로 quantitative analysis를 수행하였고 시각적으로 보여주었다. 개발된 소프트웨어는 Visual C++을 사용하여 windows 환경의 응용프로그램으로 개발되었다.