• 제어로봇시스템학회:학술대회논문집
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• 2003.10a
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• pp.1315-1318
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• 2003

In this paper, a neural network based approach using a self-organizing feature map is proposed for the segmentation of X ray images. A number of algorithms based on such approaches as histogram analysis, region growing, edge detection and pixel classification have been proposed for segmentation of general images. However, few approaches have been applied to X ray image segmentation because of blur of the X ray image and vagueness of its edge, which are inherent properties of X ray images. To this end, we develop a new model based on the neural network to detect objects in a given X ray image. The new model utilizes Mumford-Shah functional incorporating with a modified adaptive SOFM. Although Mumford-Shah model is an active contour model not based on the gradient of the image for finding edges in image, it has some limitation to accurately represent object images. To avoid this criticism, we utilize an adaptive self organizing feature map developed earlier by the authors.[1] It's learning rule is derived from Mumford-Shah energy function and the boundary of blurred and vague X ray image. The evolution of the neural network is shown to well segment and represent. To demonstrate the performance of the proposed method, segmentation of an industrial part is solved and the experimental results are discussed in detail.

• Journal of Korea Multimedia Society
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• v.20 no.1
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• pp.10-16
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• 2017

This paper proposes efficient schemes for image segmentation using the region-based active contour model. The developed methods can approach the boundaries of the desired objects by evolving the curves through minimization of the Mumford-Shah energy functionals, given arbitrary curves as initial conditions. Topological changes such as splitting or merging of curves should be handled for the methods to work properly without prior knowledge of the number of objects to be segmented. This paper introduces how to change topological structure of the curves and shows experimental results by applying the methods to the images.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.26 no.4
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• pp.333-342
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• 2022

In this paper, we perform a direct comparison study of real experimental data for domain rearrangement and the Cahn-Hilliard (CH) equation on the dynamics of morphological evolution. To validate a mathematical model for physical phenomena, we take initial conditions from experimental images by using an image segmentation technique. The image segmentation algorithm is based on the Mumford-Shah functional and the Allen-Cahn (AC) equation. The segmented phase-field profile is similar to the solution of the CH equation, that is, it has hyperbolic tangent profile across interfacial transition region. We use unconditionally stable schemes to solve the governing equations. As a test problem, we take domain rearrangement of lipid bilayers. Numerical results demonstrate that comparison of the evolutions with experimental data is a good benchmark test for validating a mathematical model.

• Proceedings of the Korea Multimedia Society Conference
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• 2002.05c
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• pp.215-218
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• 2002

영상 내에 존재하는 객체를 배경에서 분리해내는 영상분할에 대한 연구는 일반적으로 픽셀중심, 에지기반, 영역기반 그리고 모델기반의 영역에서 이루어져왔다. Active Contour 모델은 객체를 영상에서 분리하는 에지기반의 영상분할 방식이다. 전통적인 의미의 Active Contour 모델에서 사용한 그라디언트 함수 기반의 영상추출은 잡영이 많고 객체와 배경간 뚜렷한 경계가 없는 객체를 검출하는데는 그 한계를 보이고 있다. 이런 한계를 극복하고자 제안된 방법이 Mumford-Shah equation과 Lipshitz 함수를 이용한 Chan과 Vese의 Active Contour Model이다. 그런데 이 모델은 잡영이 많고 경계선이 뚜렷하지 않은 영상을 분할하는데는 효과적이나, 불균형적 조명이 있는 영상에서 객체를 분리해 내는데는 한계를 보이고 있다. 본 논문은 이러한 단점을 극복하기 위해 불균형적인 영상을 균일화하는 방법을 Chan과 Vese의 Active Contour 방식을 적용하기 전에 적용 시켜 영상 내 객체를 보다 효과적으로 추출하는 방법을 제안한다.