• Journal of the Korean Mathematical Society
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• v.54 no.4
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• pp.1331-1343
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• 2017

A curve ${\gamma}$ immersed in the three-dimensional sphere ${\mathbb{S}}^3$ is said to be a slant helix if there exists a Killing vector field V(s) with constant length along ${\gamma}$ and such that the angle between V and the principal normal is constant along ${\gamma}$. In this paper we characterize slant helices in ${\mathbb{S}}^3$ by means of a differential equation in the curvature ${\kappa}$ and the torsion ${\tau}$ of the curve. We define a helix surface in ${\mathbb{S}}^3$ and give a method to construct any helix surface. This method is based on the Kitagawa representation of flat surfaces in ${\mathbb{S}}^3$. Finally, we obtain a geometric approach to the problem of solving natural equations for slant helices in the three-dimensional sphere. We prove that the slant helices in ${\mathbb{S}}^3$ are exactly the geodesics of helix surfaces.

• The Korean Journal of Applied Statistics
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• v.22 no.5
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• pp.1103-1113
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• 2009

We know that the first digits sequence of fibonacci numbers obey Benford's law. For the sequence in which the first two numbers are the arbitrary integers and the recurrence relation $a_{n+2}=a_{n+1}+a_n$ is satisfied, we can find that the first digits sequence of this sequence obey Benford's law. Also, we can find the stucture of the first digits sequence of this sequence with the exploratory data analysis tools.

• Proceedings of the Korean Society of Broadcast Engineers Conference
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• 2011.07a
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• pp.403-405
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• 2011

모바일 영상 기기들에 사용되는 저전력, 고화질의 이미지 센서는 Rolling Shutter 방식을 사용하는 CIS(CMOS Image Sensor)이다. 구조적 특성에 의해 Rolling Shutter 방식을 사용하는 CIS는 촬영 환경에 의해 결과물에 왜곡을 일으키게 된다. 본 논문은 Rolling Shutter에 의한 왜곡을 분석하고 촬영된 영상의 Rolling Shutter 왜곡 모션벡터를 예측하는 알고리즘을 제안하였다. 또한 제안 알고리즘의 정확성을 높이기 위해 Sub-block과 Kalman-filter를 적용하여 Sub-pixel 단위로 계산하여 기존의 Lucas-Kanade 알고리즘 보다 효율적인 모션벡터 예측 알고리즘을 제안한다. 또한 보다 정확한 성능 변화를 추적하기 위하여 MSE 방식을 사용하여 비교 분석 하였다.

• Bulletin of the Korean Mathematical Society
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• v.53 no.3
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• pp.885-902
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• 2016

In this paper we begin the study of $L_k$-2-type hypersurfaces of a hypersphere ${\mathbb{S}}^{n+1}{\subset}{\mathbb{R}}^{n+2}$ for $k{\geq}1$ Let ${\psi}:M^3{\rightarrow}{\mathbb{S}}^4$ be an orientable $H_k$-hypersurface, which is not an open portion of a hypersphere. Then $M^3$ is of $L_k$-2-type if and only if $M^3$ is a Clifford tori ${\mathbb{S}}^1(r_1){\times}{\mathbb{S}}^2(r_2)$, $r^2_1+r^2_2=1$, for appropriate radii, or a tube $T^r(V^2)$ of appropriate constant radius r around the Veronese embedding of the real projective plane ${\mathbb{R}}P^2({\sqrt{3}})$.

• Computers and Concrete
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• v.18 no.3
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• pp.421-439
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• 2016

Corrosion of embedded reinforcing bars is recognized as being the major cause of deterioration of reinforced concrete structures. With regard to maintenance strategies of concrete nuclear structures, the monitoring of cracking remains of primary importance. Recently, authors have developed a post-treatment technique to extract crack features from continuous computations. In this paper, such technique is applied to carry out a numerical analysis of an accelerated corrosion test. Obtained results allow highlighting specific propagation and failure mechanisms that characterize corrosion-induced cracking.

• Journal of Korea Multimedia Society
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• v.17 no.7
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• pp.787-796
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• 2014

Many mobile robot navigation methods utilize laser scanners, ultrasonic sensors, vision camera, and so on for detecting obstacles and path following. However, human utilizes only vision(e.g. eye) information for navigation. In this paper, we study a mobile robot control method based on only the camera vision. The Gaussian Mixture Model and a shadow removal technology are used to divide the foreground and the background from the camera image. The mobile robot uses a combined CAMSHIFT and KLT feature tracker algorithms based on the information of the foreground to follow a person. The algorithm is verified by experiments where a person is tracked and followed by a robot in a hallway.

• 한국HCI학회:학술대회논문집
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• 2007.02a
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• pp.1000-1005
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• 2007

본 논문에서는 실물체의 3차원 모델을 복원하기 위해 거리영상 카메라에서 획득된 3차원 점군에 대한 온라인 정합 기법을 제안한다. 제안하는 방법은 거리영상 카메라를 사용하여 연속된 거리영상과 사진영상을 획득하고 문턱값(threshold)을 이용하여 물체와 배경에 대한 정보를 분류한다. 거리영상에서 특징점을 선택하고 특징점에 해당하는 거리영상의 3차원 점군을 이용하여 투영 기반 정합을 실시한다. 초기정합이 종료되면 사진영상간의 대응점을 추적하여 거리영상을 정제하는 과정을 거치는데 대응점 추적에 사용되는 KLT(Kanade-Lucas-Tomasi) 추적기를 수정하여 초기정합의 결과를 대응점 탐색에 이용함으로써 탐색의 속도와 성공률을 증가시켰다. 특징점과 추적된 대응점에 해당하는 3차원 점군을 이용하여 거리영상의 정제를 수행하고 정합이 완료되면 오프라인에서 3차원 모델을 합성하였다. 제안한 알고리듬을 적용하여 2개의 실물체에 대하여 실험을 수행하고 3차원 모델을 생성하였다.

• International Commerce and Information Review
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• v.1 no.1
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• pp.25-39
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• 2008

Global e-SCM (electronic Supply Chain Management) has become an important business strategy in a rapidly changing global competition environment. It encompasses both domestic business and overseas business. Overseas business, including B2B and B2G, involves the complex trade procedures across countries. So, the standardization of electronic documents (messages) and business processes is one of critical factors for the successful implementation of global e-SCM. Without standardized messages and streamlined business processes, the benefits of global e-SCM would not be guaranteed because of human intervention like re-keying business data, which may create errors, delay processes, cause additional data or procedures, etc. Thus, this paper is to review the implementation challenges of Global e-SCM, to address the needs for electronic information flows through the standardization in electronic documents and business processes for fast and accurate trade transactions in the global supply chain activities, and to assert the importance of adoption of international standards.

• The Bulletin of The Korean Astronomical Society
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• v.43 no.1
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• pp.39.1-39.1
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• 2018

Although it is agreed that the gamma-ray bursts (GRBs) invoke highly relativistic jets with bulk Lorentz factors of a few hundreds, the exact physical mechanism producing such powerful gamma-rays still remains debated. Three outstanding and important questions in the field concern (1) the composition of GRB jets (i.e., matter-dominated vs Poynting-flux-dominated), (2) the involved radiative process responsible for the observed gamma-rays (i.e., synchrotron mechanism vs photospheric radiation), and (3) the distance of the emitting region from the central engine where the prompt gamma-rays are released (i.e., ~10^12 cm vs 10^14 cm vs 10^16 cm). I will present recent important breakthroughs that we have made, which answer these three questions.

• The Transactions of the Korean Institute of Electrical Engineers P
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• v.63 no.1
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• pp.19-23
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• 2014

This paper describes the electron transport characteristics in $SF_6$-He gas calculated E/N values 0.1~700[Td] by the Monte Carlo simulation and Boltzmann equation method using a set of electron collision cross sections determined by the authors and the values of electron swarm parameters obtained by TOF method. This study gained the values of the electron swarm parameters such as the electron drift velocity, the electron ionization or attachment coefficients, longitudinal and transverse diffusion coefficients for $SF_6$-He gas at a range of E/N. A set of electron collision cross section has been assembled and used in Monte Carlo simulation to predict values of swarm parameters. The result of Boltzmann equation and Monte Carlo Simulation has been compared with experimental data by Ohmori, Lucas and Carter. The swarm parameter from the swarm study are expected to sever as a critical test of current theories of low energy scattering by atoms and molecules.