• Journal of the Optical Society of Korea
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• 제5권3호
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• pp.90-92
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• 2001

Direct and inverse mathematical operators of stereo transformation (stereo operators) are studied in this paper. The stereo operators install a one-to-one correspondence between three dimensional coordinates of any point in space and the stereo coordinates which can be displayed on the screen under the given conditions, i.e. stereo vision base and the position of viewer. The stereo operators can be applied to the analyses of stereoscopic image distortions when the stereo vision base and the position of viewer are changed.

• 대한수학회지
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• 제33권2호
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• pp.413-421
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• 1996

A path g in the plane $R^2$ is the sequence of the points $(t_0, t_1, \ldots, t_n)$, with coordinates in $Z^2$. The point $t_0$ is the starting point and the point $t_n$ is the arriving point. An elementary step of g is a couple $(t_i, t_{i+1}), 0 \leq i \leq n - 1$. We denote the length of the path g by $\mid$g$\mid$ = n.

• 대한공간정보학회지
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• 제15권3호
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• pp.41-49
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• 2007

GPS 관측에 의해 구한 기선벡터를 이용하여 평면에서의 삼변망 조정계산에 의하여 지적측량기준점의 베셀좌표를 산출하는 소프트웨어를 개발하고 우리나라 전역 지적측량 기준점의 성과 통일에 활용하였다. GPS 관측점간의 기선 거리를 평면에 전개하는 데에는 PNU95 지오이드모델을 이용하여 지오이드면상의 거리를 산출하고, 다음으로 베셀 타원체상의 좌표에 바탕하여 구한 증대율을 적용하여 평면투영거리를 산출하였다. 우리나라 전역 지적측량기준점의 통일성과를 산출하는 데에는, 우선 자유망조정에 의해 전국 32개소 GPS 상시관측소의 베셀좌표를 산출하고, 다음으로 이들 GPS 상시관측소에다 지적측량기준점과 결합하는 망조정계산을 실시하였다. 그 결과 GPS 기선벡터를 이용하여 현재의 지적기준점 성과를 정비할 경우 전국 어디에서나 점간거리 1ppm 이내에서 일치하는 베셀좌표의 결정이 가능하였다.

• 지적과 국토정보
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• 제46권2호
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• pp.183-196
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• 2016

위성영상의 정밀한 기하보정을 위해서는 지상기준점이 필요하며, GPS 측량은 양질의 지상기준점 좌표 취득을 위해 필수적이다. 하지만 GPS 측량을 하는 과정에서 많은 시간과 노력이 필요하기 때문에 이를 대체할 다른 대안을 연구할 필요가 있다. 이에, 본 연구에서는 지상기준점의 좌표를 취득하기 위한 기존의 GPS 측량을 웹 사이트 지도에서 제공하는 좌표로 대체하는 가능성에 대해 연구하였다. 이를 위해 Daum Map API를 통해 취득한 지상기준점의 좌표들 간의 오차량을 확인하였으며, 위성영상의 기하보정에 사용되는 3가지 좌표 변환식의 정확도를 비교하였다. 또한 가장 정확도가 높게 나온 변환식을 이용하여 GPS 측량을 통해 취득한 지상기준점의 좌표와 Daum Map API를 통해 취득한 지상기준점의 좌표를 이용하여 위성영상을 기하보정하고 그 정확도를 비교하여 그 효용성을 평가하고자 하였다. 그 결과, 3가지 좌표 변환식 중 polynomial 3차 변환식이 가장 높은 정확도를 나타내었으며, Landsat-8과 같은 중해상도 위성영상을 사용하는 경우에는 Daum Map API를 통해 지상기준 점의 좌표를 취득하고 이를 영상의 기하보정에 사용할 수 있음을 알 수 있었다.

• International Journal of Ocean System Engineering
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• 제2권3호
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• pp.139-150
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• 2012

This paper presents an improved guidance algorithm for autonomous underwater vehicles (AUV) in 3D space for generating smoother vehicle turn during the course change at the way-points. The way-point guidance by the line-of-sight (LOS) method has been modified for correcting the reference angles to achieve minimal calculation and smoother transition at the way-points. The algorithm has two phases in which the first phase brings the vehicle to converge to a distance threshold point on the line segment connecting the first two way-points and the next phase generates an angular path with smoother transition at the way-points. Then the desired angles are calculated from the reference and correction angles. The path points are regularly parameterized in the spherical coordinates and mapped to the Cartesian coordinates. The proposed algorithm is found to be simple and can be used for real time implementation. The details of the algorithm and simulation results are presented.

• Journal of Mechanical Science and Technology
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• 제17권12호
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• pp.1977-1985
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• 2003

In the present study, the dynamic modelling of planar mechanisms that consist of a system of rigid bodies is carried out using point coordiantes. The system of rigid bodies is replaced by a dynamically equivalent constrained system of particles. Then for the resulting equivalent system of particles, the concepts of linear and angular momentums are used to generate the equations of motion without either introducing any rotational coordinates or distributing the external forces and force couples over the particles. For the open loop case, the equations of motion are generated recursively along the open chains. For the closed loop case, the system is transformed to open loops by cutting suitable kinematic joints with the addition of cut-joints kinematic constraints. An example of a multi-branch closed-loop system is chosen to demonstrate the generality and simplicity of the proposed method.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2000년도 춘계학술대회논문집A
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• pp.548-555
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• 2000

The dynamic walking and the inverse dynamics of the biped walking robot is investigated in this paper. The biped robot is modeled with 14 degrees of freedom rigid bodies considering the walking pattern and kinematic construction of humanoid. The method of the computer aided multibody dynamics is applied to the dynamic analysis. The equations of motion of biped are initially represented as terms of the Cartesian coordinates, then they are converted to the minimum number of equations of motion in terms of the joint coordinates using the velocity transformation matrix. For the consideration of the relationships between the ground and foot, the holonomic constraints are added or deleted on the equations of motion. The number of these constraints can be changed by types of walking pattern with three modes. In order for the dynamic walking to be stabilizable, optimized trunk positions are iteratively determined by satisfying the system ZMP(Zero Moment Point) and ground conditions.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2005년도 ICCAS
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• pp.1183-1188
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• 2005

In this paper, we propose a 3D automated measuring system which measures the mandibular movements and the reference plane of the jaw movements. In diagnosis and treatment of the malocclusions, it is necessary to estimate the mandibular movements and the reference plane of the jaw movements. The proposed system is configured with double stereo-cameras, PC, two moving pattern plates(MPPs), two fixed pattern plates(FPPs) and one orbital marker. The virtual pattern plate is applied to calculate the homogeneous transformation matrices which describe the coordinates systems of the FPP and MPP with respect to the world coordinates system. To estimate the parameters of the hinge axis, the Euler's theorem is applied. The hinge axis points are intersections between the FPPs and the hinge axis. The coordinates of a hinge axis point with respect to the MPP coordinates system are set up to fixed value. And then, the paths of the jaw movement can be calculated by applying the homogeneous transformation matrix to fixed hinge axis point. To examine the accuracy of the measurements, experiments of measuring the hinge axis points and floating paths of them are performed using the jaw motion simulator. As results, the measurement errors of the hinge axis points are within reasonable boundary, and the floating paths are very similar to the simulator's moving path.

• 대한토목학회논문집
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• 제6권1호
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• pp.51-60
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• 1986

전자파(電磁波) 거리측량기(距離測量機)와 각측량기(角測量機)의 정확도가 향상(向上)됨에 따라 벡터기법을 이용한 해석적(解釋的) 교회법(交會法)으로서 3차원(次元) 대지좌표(大地座標)를 결정할 수 있다. 본(本) 논문(論文)에서는 각(各) 기지점(旣知點)의 대지좌표(大地座標)와 수평(水平) 및 수직각(垂直角), 사거리(斜距離)를 이용하여 미지점(未知點)의 대지좌표(大地座標)를 결정(決定)하는 후방교회법, 전방교회법 및 Multilateration의 정확도(正確度)를 비교(比較) 분석(分析)하였다. 그 결과(結果) Multilateration 방법(方法)이 최소 3점(點)에서도 허용한계값 내에 수렴하였고 다른 해석적(解釋的) 교회법(交會法)보다 정확도(正確度) 면에서도 우수하며, 다른 해석적(解釋的) 교회법(交會法)도 기지점(旣知點)이 5점 이상일 경우에는 허용한계 값에 부합됨을 알 수 있었다.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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• pp.195-200
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• 1994

This paper presents a nonlinear adaptive control approach to a 4-point attraction magnetic levitation system using the local coordinates transformation and neural network. Based on local coordinates transformations, the magnetic levitation system can be represented in a state magnetic levitation system can be represented in a state space from of a 4-input 4-output. Neural networks which are defined in the new coordinates are used to learn the nonlinear functions of the system which are defined in the new coordinats also. The parameters of the neural networks are updated in an on-line manner according to an augmented tracking error. The simulation results are reported in this paper.