• Proceedings of the Korean Society for Emotion and Sensibility Conference
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• 1998.11a
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• pp.21-24
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• 1998

논문은 상대적인 3차원 정보를 추출하기 위하여 스테레오 정합 알고리듬에 에피폴라 기하학을 적용하였다. 카메라로부터 입력받은 영상에서 추출된 특징 점으로부터 에피폴라 기하학 구조를 구성한다. 이렇게 구한 에피폴라 기하학 정보는 스테레오 영상에서의 정합 점들 간의 기하학적인 상관관계를 구성하고 조밀한 변이영상을 추출한다 실험결과를 통하여 제안된 알고리듬이 실제 공간상에서 대상물체를 실감 있게 표현함을 알 수 있다.

• Journal of Educational Research in Mathematics
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• v.26 no.4
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• pp.715-730
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• 2016

The purpose of this study is to analyze Descartes's point of view on the mathematical connection of algebra and geometry which help comprehend the traditional frame with a new perspective in order to access to unsolved problems and provide useful pedagogical implications in school mathematics. To achieve the goal, researchers have historically reviewed the fundamental principle and development method's feature of analytic geometry, which stands on the basis of mathematical connection between algebra and geometry. In addition we have considered the significance of geometric solving of equations in terms of analytic geometry by analyzing related preceding researches and modern trends of mathematics education curriculum. These efforts could allow us to have discussed on some opportunities to get insight about mathematical connection of algebra and geometry via geometric approaches for solving equations using the intersection of curves represented on coordinates plane. Furthermore, we could finally provide the method and its pedagogical implications for interpreting geometric approaches to cubic equations utilizing intersection of conic sections in the process of inquiring, solving and reflecting stages.

• KIPS Transactions on Software and Data Engineering
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• v.8 no.10
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• pp.421-426
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• 2019

In this paper, we propose a method to visualize the geometric features of the contact region between proteins in a protein complex. When proteins or ligands are represented as curved surfaces with irregularities, the property that the two surfaces contact each other without intersections is called shape compatibility. Protein-Protein or Protein-Ligand docking researches have shown that shape complementarity, chemical properties, and entropy play an important role in finding contact regions. Usually, after finding a region with high shape complementarity, we can predict the contact region by using residual polarity and hydrophobicity of amino acids belonging to this region. In the research for predicting the contact region, it is necessary to investigate the geometrical features of the contact region in known protein complexes. For this purpose, it is essential to visualize the geometric features of the molecular surface. In this paper, we propose a method to find the contact region, and visualize the geometric features of it as normal vectors and mean curvatures of the protein complex.

• Journal of Korean Association for Spatial Structures
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• v.12 no.1
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• pp.77-85
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• 2012

The membrane structure maintains stable form by giving initial tension to ductile membrane and increasing the stiffness of exterior that is much adopted in the large span spatial structure by making its thickness thin. This kind of membrane structure has characteristic that can express free-form curve, so the selection of structural form is very important. So, this paper proposes the expression of free-form surface based on NURBS basis function and the finite element method considering geometrical nonlinearity for the deduction of large deformation result. Also, for minimizing the approximation of the surface that is derived from the form-finding result, the interface method that change finite element mesh to NURBS is proposed. So, the optimum surface of free-form membrane is derived.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1995.10b
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• pp.285-292
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• 1995

최근 규칙베이스 추론과 사례베이스 추론의 통합화에 의한 추론이 다양하게 시도되 고 있다. 본 논문에서는 규칙과 사례를 동일한 형태로 표현하고, 규칙베이스와 사례베이스를 통합한 새로운 통합 추론 방법을 제안한다. 지식은 논리의 기하학적 모델을 이용하여 정보 를 논리적으로 해석하며, 동일한 형태로 표현된 규칙과 사례를 Boole 함수의 미분 및 전개 방법을 이용하여 추론하는 방법을 제안하고 응용예를 통하여 확인하다.

• Proceedings of the Korea Information Processing Society Conference
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• 2015.10a
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• pp.156-157
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• 2015

아미노산은 단백질 분자를 구성하는 기본 단위이다. 기하학적 측면에서 원자들을 구로 대응시키면, 아미노산은 구의 집합으로 표현될 수 있다. 본 논문에서는 잔기 유연성을 가진 아미노산의 잔기를 회전하는 구의 집합으로 표현하여, 위치가 고정된 아미노산 백본과 잔기 유연성을 가진 아미노산 잔기 간의 충돌 가능성을 탐지하는 방법을 제안한다.

• The Korean Journal of Applied Statistics
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• v.27 no.5
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• pp.755-771
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• 2014

Isotropy is one of the main assumptions for the ease of spatial prediction (named kriging) based on some covariance models. A lack of isotropy (or anisotropy) in a spatial process necessitates that some additional parameters (angle and ratio) for anisotropic covariance model be obtained in order to produce a more reliable prediction. In this paper, we propose a new class of geometrically extended anisotropic covariance models expressed as a weighted average of some geometrically anisotropic models. The maximum likelihood estimation method is taken into account to estimate the parameters of our interest. We evaluate the performances of our proposal and compare it with an isotropic covariance model and a geometrically anisotropic model in simulation studies. We also employ extended geometric anisotropy to the analysis of real data.

• Journal of the Society of Naval Architects of Korea
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• v.29 no.2
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• pp.132-139
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• 1992

This paper presents geometrically nonlinear formulation of shell problems using the three-dimensional curved shell element, which includs large displacements and large rotations. Formulations of the geometrically nonlinear problems can be derived in a variety of ways, but most of them have been obtained by assuming that nodal rotations are small. Hence, the tangent stiffness matrix is derived under the assumptions that rotational increments are infinitesimal and the effect of finite rotational increments have to be considered during the equilibrium iterations. To study the large displacement and large rotation problems, the restrictions are removed and the formulations of the curved shell element including the effect of large rotational increments are developed in this paper. The displacement based finite element method using this improved formulation are applied to the analyses of the geometrically nonlinear behaviors of the single and double curved shells, which are compared with the results by others.

• Tunnel and Underground Space
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• v.10 no.3
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• pp.257-270
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• 2000

사물의 거동, 현상에 대한 해석을 실시함에 있어 해석적 해법에 대비한 수치적 해법의 장점은 재질의 성질이 불균질하고 이방성이며 구조물의 형태가 기하학적으로 복잡할 뿐만 아니라 경계조건이 복잡하여 수학적인 표현이 어려울 때 그 해석을 가능케 해 주는 것이라고 볼 수 있다. 이러한 수치 해석법의 대표적인 것으로 유한요소법과 경계 요소법을 들 수 있다.(중략)

• Proceedings of the Korean Institute of Surface Engineering Conference
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• 2008.11a
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• pp.57-58
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• 2008

외부 자기장이 spin-flip field보다 작은 조건 하에서 마이크로 사이즈로 패턴된 synthetic antiferromanet의 ferromagnetic resonance frequency를 표현할 수 있는 이론식을 유도했다. 또한 유도된 이론식을 통해 synthetic antiferromagnet의 기하학적, 자기적 성질이 ferromagnetic resonance frequency가 미치는 영향에 대해 연구했다.