• 한국수학사학회지
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• 제27권6호
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• pp.395-402
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• 2014

When the circle inscribed in a square is projected to a picture plane, one sees, in general, an ellipse in a convex quadrilateral. This ellipse is poorly described in the works of Alberti and Durer. There are one parameter family of ellipses inscribed in a convex quadrilateral. Among them only one ellipse is the perspective image of the circle inscribed in the square. We call this ellipse "the projected ellipse." One can easily find the four tangential points of the projected ellipse and the quadrilateral. Then we show how to find the center of the projected ellipse. Finally, we describe a pair of conjugate vectors for the projected ellipse, which finishes the construction of the desired ellipse. Using this algorithm, one can draw the perspective image of the squared-circle tiling.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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• pp.272-277
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• 1998

If we want to compare the form of two objects, the human vision takes into account the parameter's width/length/height at the same time. however, the machine needs to compare width then lengths and finally height. In each comparison the machine considers only one character. The goal of this paper is to imitate the human manner of comparison and recognition by using two or three characters instead of one during the comparison. The ellipse is a first approach of comparison because it provides us a general and a simple relation that can link two parameters that are the half axis of the ellipse. Indeed, we assimilate each character to a half axis of the ellipse and the result is a geometrical figure that varies according to values of the two characters.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2003년도 ICCAS
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• pp.772-777
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• 2003

A vision-based tool position estimation system for the inspection and maintenance manipulator working inside the steam generator bowl of nuclear power plants can help human operators ensure that the inspection probe or plug are inserted to the targeted tube. Some previous research proposed a simplified tube position verification system that counts the tubes passed through during the motion and displays only the position of the tool. In this paper, by using a general camera calibration approach, tool orientation is also estimated. In order to reduce the computation time and avoid the parameter bias problem in an ellipse fitting, a small number of edge points are collected around the large section of the ellipse boundary. Experiment results show that the camera calibration parameters, detected ellipses, and estimated tool position are appropriate.

• 대한전자공학회논문지SD
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• 제37권8호
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• pp.67-75
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• 2000

본 논문에서는 광학적 Hough변환(HT) 결과로부터 입력영상에 존재하는 타원의 정보를 찾는 새로운 방법을 제안하였다. 제안된 방법은 일반화된 타원 수식을 직선에 대한 HT 수식에 대입해서 타원에 대한 포락선 방정식을 구한 후, 포락선의 정보를 이용해 타원을 찾는데 필요한 다섯 개의 변수들을 수식적으로 유도하였다. 제안된 방법을 사용하여 최악의 경우에도 약 94%의 정확도로 타원의 정보를 추출할 수 있음을 컴퓨터 시뮬레이션을 통하여 확인 하였다. 시뮬레이션 결과와 실험 결과를 비교하기 위하여 HT 컴퓨터형성홀로그림(CGH) 필터를 사용하여 광학적 실험을 수행하였다. 실험을 통하여 광학적HT 결과가 이론적인 시뮬레이션 결과와 유사함을 확인하였다.

• Ocean Science Journal
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• 제42권3호
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• pp.153-163
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• 2007

This study is based on a series of numerical modeling experiments to understand the tidal circulation in the Kangjin Bay (KB). The tidal circulation in the KB is mostly controlled by the inflow from two channels, Noryang and Daebang which introduce the open ocean water into the northern part of the KB with relatively strong tidal current, while in the southern part of the KB, shallowest region of the entire study area, weak tidal current prevails. The model prediction of the sea level agrees with observed records at skill scores exceeding 90 % in terms of the four major tidal constituents (M2, S2, K1, O1). However, the skill scores for the tidal current show relatively lower values of 87, 99, 59, 23 for the semi-major axes of the constituents, respectively. The tidal ellipse parameters in the KB are such that the semi-major axes of the ellipse for M2 range from 1.7 to 38.5 cm/s and those for S2 range from 0.5 to 14.4 cm/s. The orientations of the major-axes show parallel with the local isobath. The eccentricity values at various grid points of ellipses for M2 and S2 are very low with 0.2 and 0.06 on the average, respectively illustrating that the tidal current in the KB is strongly rectilinear. The magnitude of the tidal residual current speed in the KB is on the order of a few cm/s and its distribution pattern is very complex. One of the most prominent features is found to be the counter-clockwise eddy recirculation cell at the mouth of the Daebang Channel.

• Structural Engineering and Mechanics
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• 제19권6호
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• pp.639-652
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• 2005

In this paper, a full-scale K-joint specimen was tested to failure under cyclic combined axial and in-plane bending loads. In the fatigue test, the crack developments were monitored step by step using the alternating current potential drop (ACPD) technique. Using Paris' law, stress intensity factor, which is a fracture parameter to be frequently used by many designers to predict the integrity and residual life of tubular joints, can be obtained from experimental test results of the crack growth rate. Furthermore, a scheme of automatic mesh generation for a cracked K-joint is introduced, and numerical analysis of stress intensity factor for the K-joint specimen has then been carried out. In the finite element analysis, J-integral method is used to estimate the stress intensity factors along the crack front. The numerical stress intensity factor results have been validated through comparing them with the experimental results. The comparison shows that the proposed numerical model can produce reasonably accurate stress intensity factor values. The effects of different crack shapes on the stress intensity factors have also been investigated, and it has been found that semi-ellipse is suitable and accurate to be adopted in numerical analysis for the stress intensity factor. Therefore, the proposed model in this paper is reliable to be used for estimating the stress intensity factor values of cracked tubular K-joints for design purposes.

• 대한기계학회논문집A
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• 제38권3호
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• pp.295-302
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• 2014

내접형 기어펌프의 경우 내구성과 소형화의 장점을 가지고 있으나, 유량증대 및 소음저감의 성능개선이 요구되고 있다. 본 논문에서는 외부로브 형상이 다양한 곡선 조합(타원 1-인볼루트-타원 2)인 경우에 대하여 기구학적 치형 형상 관계식을 유도하고, 창성된 치형에 대해 소음에 관계된 성능인자(압력각, 유량맥동과 미끄럼률)를 예측하여 소음정도를 수치적으로 비교하였다. 또한 이론 해석을 통해 구한 치형형상과 성능인자 예측 알고리즘을 통하여 설계변수와 성능인자간의 영향도를 분석하였고, 분석 결과를 바탕으로 일정한 유량성능을 유지하면서 소음이 저감된 치형의 최적설계를 수행하였다. 해석결과를 바탕으로 제시된 치형의 최적설계에 대한 시제품 제작 및 소음 시험을 통해 설계의 타당성을 검증하였다.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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• pp.298-298
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• 2000

This paper presents the optimization technique to analyze the effect of the design parameters of rapid prototyping system for human brain model fabrication. The optimization method considers the functional relationships among the design parameters such as thickness gap, shrink rate, and laser speed that govern the operation of fabrication system. This paper applies a discrete optimization technique as the optimization method to determine the dominant parameter values. Additional study includes manner of complement surface image of ellipse which approximates the brain model using the adaptive slicing and the offset contour. According to the parameters tuning and interaction of effect, more suitable parameter values can be obtained by enhanced 3D brain model fabrication.

• 한국지반공학회지:지반
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• 제12권4호
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• pp.21-32
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• 1996

흙의 응력-변형률 거동을 더욱 근사적으로 예측하기 위하여,소성 증분이론에 한계상태 토질역학의 개념을 도입한 것이 항복-경계면 소성 모델이다. 이 모텔은 등방 압밀 흙의 거동을 묘사하기 위하여 두개의 타원과 하나의 쌍곡선으로 구성되었다. 따라서 사용된 여러가지 매개변수로 인하여 이 모델은 매우 복잡하다. 그러므로,실제 지반 문제에 이 모델을 적용하기 위하여는 이론의 정확한 이해와 숙련이 요구된다. 본 논문에서는,이 모델에 사용된 여러 매개변수들 중항복-경계면 형상 매개변수 R과 A, 투영 중심 매개변수 C를 변화시켜 그 결과를 수치해석하였다. 최종적으로 단조하중과 주기하중에 대한 각각의 민감도를 분석하였고 각 매개변수 값의 범위를 제안하였다.

• 대한기계학회논문집A
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• 제27권4호
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• pp.485-490
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• 2003

RP(Rapid Prototyping) has been used in the various industrial applications. This paper presents the optimization techniques fur fabricated 3D model design using RP machine for the medical field. Once the original brain model data are obtained from 2D slices of MRI/CT machine, the data can be modeled as an optimal ellipse. The objective of this study includes optimization of fabrication time and surface roughness using the adaptive slicing method. It can reduce fabrication time without losing surface roughness quality by accumulating the slices with variable thickness. According to the parameter tuning and synthesis of its effect, more suitable parameter values can be obtained by enhanced 3D brain model fabrication. Therefore, accurate 3D brain model fabricated by RP machine can enable a surgeon to perform pre-operation. to make a decision for the operation sequence and to perceive the 3D positions in prototype, before delicate operation of actual surgery.