• International Journal of Contents
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• 제1권1호
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• pp.1-5
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• 2005

This paper presents the development and application of electrical resistance imaging techniques for the visualization of two-phase flow fields. Two algorithms, the so-called the mesh grouping and the boundary estimation, are described for potential applications of electrical resistance tomography (ERT) and results from extensive numerical simulations are also presented. In the electrical resistance imaging for two-phase flows, numerical meshes fairly belonging to each phase can be grouped to improve the reconstruction performance. In many cases, the detection of phase boundary is a key subject and a mathematical model to estimate phase boundary can be formulated in a different manner. Our results indicated that the mesh grouping algorithm is effective to enhance computational performance and image quality, and boundary estimation algorithm to determine the phase boundary directly.

• 한국자기공명학회논문지
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• 제15권2호
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• pp.157-174
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• 2011

Although the use of apodization functions in connection with postprocessing of a 2D NMR spectrum proves improved spectral quality, there is usually a trade-off between resolution enhancement and noise suppression due to a classical "uncertainty principle." In this study, therefore, a mathematical deconvolution technique called "Maximum Likelihood Deconvolution (MLD)" was adopted to achieve the spectral resolution and sensitivity enhancement simultaneously. The MLD technique greatly facilitates visualization and restoration of the genuine spectral information from complex 2D NMR spectra that would be problematic with the conventional apodization/FT processing. In particular, application of the MLD to the 2D-NOE spectrum would be very useful to derive the important proton connectivities, which are essential to achieve elucidating the 3D molecular structure.

• 한국가시화정보학회:학술대회논문집
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• 한국가시화정보학회 2004년도 추계학술대회 논문집
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• pp.30-33
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• 2004

In order to analyze the heat transfer phenomena in the plasma flames, a mathematical model describing heat and fluid How in an electric arc has been developed and used to predict heat transfer from the arc to the steel bath in a DC Electric Arc Furnace. The arc model takes the separate contributions to the heat transfer from each involved mechanism into account, i.e. radiation, convection and energy transported by electrons. The finite volume method and a SIMPLE algorithm are used for solving the governing MHD equations, i.e., conservation equations of mass, momentum, and energy together with the equations describing a standard $k-\varepsilon$ model for turbulence. The model predicts heat transfer for different currents and arc lengths. Finally these calculation results can be used as a useful insight into plasma phenomena of the industrial-scale electric arc furnace. from these results, it can be concluded that higher arc current and longer arc length give high heat transfer.

• 응용통계연구
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• 제21권4호
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• pp.695-704
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• 2008

평행좌표그림은 다변량자료를 시각화하는 하나의 방법이다. 평행좌표그림은 4차원 이상의 직각좌표계 표시의 어려움을 극복할 수 있는 그림이다. 그러나 변수 축의 배열에 따라 같은 자료에 대하여도 다른 해석이 가능하다. 변수 선택 문제를 해결하는 한 가지 방법으로서 우리는 정다각기둥평행좌표그림을 제안할 수 있다.

• 한국수학사학회지
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• 제30권6호
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• pp.327-339
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• 2017

Recently industry goes through enormous revolution. Related to this, major changes in applied mathematics are occurring while coping with the new trends like machine learning and data analysis. The last two decades have shown practical applicability of the long-developed mathematical theories, especially some advanced mathematics which had not been introduced to applied mathematics. In this concern some countries like the U.S. or Australia have studied the changing environments related to mathematics and its applications and deduce strategies for mathematics research and education. In this paper we review some of their studies and discuss possible relations with the history of mathematics.

• 한국감성과학회:학술대회논문집
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• 한국감성과학회 2002년도 추계학술대회 논문집
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• pp.262-266
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• 2002

본 연구에서는 가상환경 및 시뮬레이션에서 활용이 가능한 인체 모델을 개발하였다. 한국인 인체 측정 자료를 바탕으로 각 지체에 대한 기구학적 특성치와 상관관계를 얻고 인체 모델을 구성하였다. 인체 모델은 17개의 독립된 지체들로 구분되며 조인트로 연결된다. 구성된 모델은 가상환경의 신 그래프(scene graph)상에 자료화되고 DCS를 이용하여 애니메이션이 가능하도록 하였다. Madymo를 이용하여 차량 운전자의 전방 충돌 및 범퍼 통과시 지체의 거동을 해석하고 그 결과 값을 변환하여 OpenGL Performer 라이브러리를 통해 가상 공간에 가시화하였다.

• 한국CDE학회논문집
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• 제10권5호
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• pp.314-327
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• 2005

This paper describes the volumetric data modeling and analysis methods that employ volumetric NURBS or VNURBS that represents heterogeneous objects or fields in multidimensional space. For volumetric data modeling, we formulate the construction algorithms involving the scattered data approximation and the curvilinear grid data interpolation. And then the computational algorithms are presented for the geometric and mathematical analysis of the volume data set with the VNURBS model. Finally, we apply the modeling and analysis methods to various field applications including grid generation, flow visualization, implicit surface modeling, and image morphing. Those application examples verify the usefulness and extensibility of our VNUBRS representation in the context of volume modeling and analysis.

• 응용통계연구
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• 제25권6호
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• pp.1009-1018
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• 2012

Persistence homology (a type of methodology in computational algebraic topology) can be used to capture the topological characteristics of functional data. To visualize the characteristics, a persistence diagram is adopted by plotting baseline and the pairs that consist of local minimum and local maximum. We use the bottleneck distance to measure the topological distance between two different functions; in addition, this distance can be applied to multidimensional scaling(MDS) that visualizes the imaginary position based on the distance between functions. In this study, we use handwriting data (which has functional forms) to get persistence diagram and check differences between the observations by using bottleneck distance and the MDS.

• Genomics & Informatics
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• 제21권1호
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• pp.15.1-15.4
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• 2023

Bioinformatics education can be defined as the teaching and learning of how to use software tools, along with mathematical and statistical analysis, to solve biological problems. Although many resources are available, most students still struggle to understand even the simplest sequence alignment algorithms. Applying visualizations to these topics benefits both lecturers and students. Unfortunately, educational software for visualizing step-by-step processes in the user experience of sequence alignment algorithms is rare. In this article, an educational visualization tool for biological sequence alignment is presented, and the source code is released in order to encourage the collaborative power of open-source software, with the expectation of further contributions from the community in the future. Two different modules are integrated to enable a student to investigate the characteristics of alignment algorithms.

• 한국정보통신학회논문지
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• 제19권5호
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• pp.1207-1212
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• 2015

본 논문에서는 광자 계수 집적 영상 현미경을 사용하여 광자가 희박한 조건에서 마이크로 물체의 3차원 시각화와 인식에 대한 기술을 제안한다. 제안하는 방법에서는 고해상도의 서로 다른 원근감을 가지는 2차원 영상을 획득하기 위해 합성조리개 집적 영상을 사용한다. 그리고 영상으로부터 광자를 추출하기 위해 광자계수 영상 시스템의 수학적 모델인 포아송 분포를 사용하며 통계적 추정법으로 부터 3차원 영상을 추정한다. 따라서, 광자가 희박한 조건에서 마이크로 물체가 손상되지 않으면서 그에 대한 3차원 영상을 획득하고 시각화할 수 있다. 추가적으로, 비선형 상관 필터를 사용하여 3차원 물체의 인식도 가능하다. 본 기술의 유용성을 증명하기 위해, 광학적 실험을 수행하였다.