• Title/Summary/Keyword: Coordinate transformation method

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An Uncertainty Analysis of a Compensation Method for the Positioning Error of Three-DOF Manipulator (3 자유도 위치 결정 기구의 위치 오차 평가 및 보정법에 대한 불확도 분석)

  • Park Jae-Jun;Eom Hyung-Wook;Cho Nahm-Gyoo
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.7 s.184
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    • pp.51-58
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    • 2006
  • This study analyzes the uncertainty of the compensation method of a sensing error of three-DOF measuring system. This compensation method utilizes a reference coordinate system using a three point by moving a position of an endpoint of a three-DOF manipulator. The coordinate transformation between the three-DOF manipulator and the measuring system is identified by the reference coordinate system. According to the concept of this compensation method, each positioning error at any position of the end-point of the manipulator is derived. Uncertainty analyses of the compensation values on the basis of sensitivity analysis and Monte Carlo simulation are used to investigate a feasibility and effectiveness of the compensation method.

The Position Estimation of a Body Using 2-D Slit Light Vision Sensors (2-D 슬리트광 비젼 센서를 이용한 물체의 자세측정)

  • Kim, Jung-Kwan;Han, Myung-Chul
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.12
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    • pp.133-142
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    • 1999
  • We introduce the algorithms of 2-D and 3-D position estimation using 2-D vision sensors. The sensors used in this research issue red laser slit light to the body. So, it is very convenient to obtain the coordinates of corner point or edge in sensor coordinate. Since the measured points are normally not fixed in the body coordinate, the additional conditions, that corner lines or edges are straight and fixed in the body coordinate, are used to find out the position and orientation of the body. In the case of 2-D motional body, we can find the solution analytically. But in the case of 3-D motional body, linearization technique and least mean squares method are used because of hard nonlinearity.

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An Efficient Multibody Dynamic Algorithm Using Independent Coordinates Set and Modified Velocity Transformation Method (수정된 속도변환기법과 독립좌표를 사용한 효율적인 다물체 동역학 알고리즘)

  • Kang, Sheen-Gil;Yoon, Yong-San
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.488-494
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    • 2001
  • Many literatures, so far, have concentrated on approaches employing dependent coordinates set resulting in computational burden of constraint forces, which is needless in many cases. Some researchers developed methods to remove or calculate it efficiently. But systematic generation of the motion equation using independent coordinates set by Kane's equation is possible for any closed loop system. Independent velocity transformation method builds the smallest size of motion equation, but needs practically more complicated code implementation. In this study, dependent velocity matrix is systematically transformed into independent one using dependent-independent transformation matrix of each body group, and then motion equation free of constraint force is constructed. This method is compared with the other approach by counting the number of multiplications for car model with 15 d.o.f..

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Planar Error Sensitivity Analysis in a CNC Turning Cen (2차원 CNC 선반에서 평면오차 민감도 분석)

  • 여규환;이진현;양승한
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.1017-1021
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    • 1995
  • Geometric and thermal errors are responsible for major components of the errors of a computer numerically controlled turning center. The planar error of a CNC turning center are comprised of 11 geometric and thermal error components. The error synthesis model is formulated by homogeneous coordinate transformation method and expresses the effect of such error components on the planar error of a CNC turning center. In this paper, the sensitivity analysis of the model on the noises through sensing and the change of temperature is addressed. The sensitivity analysis show that the error systhesis model is robust on the noses and z planar error is much affected by the change of temperatures.

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Decentralized Compensator Design for Large-scale Systems (대규모 시스템의 분산형 보상기 설계)

  • Ahn Pius
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.7
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    • pp.370-377
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    • 2000
  • This paper presents a decentralized compensator design procedure for large scale systems. By using a coordinate transformation method, interconnection terms in t도 subsystem are decoupled and a decentralized observer is designed independently as a form of Luenberger-type for each subsystem. And the decentralized compensator which can select the observer and controller gain independently is designed as a form of observer based controller for each subsystem. The proposed method has a simplicity and conciseness in the aspects of the determination of coordinate transformation matrices and the derivation of the separation principle which is adopted independently for each subsystem.

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Soccer Scene Analysis and Coordinate Transformation using a priori Knowledge (사전 지식을 이용한 축구 경기장면 분석 및 좌표 변환)

  • Yoon, Ho-Sub;Soh, Jung;Min, Byung-Woo;Yang, Young-Kyu
    • Proceedings of the IEEK Conference
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    • 1999.11a
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    • pp.1085-1088
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    • 1999
  • This paper presents a method for soccer scene analysis and coordinate transformation from scene to ground model using a priori knowledge. First, the ground and spectator regions are separated, and various objects are extracted from the separated ground region. Second, an affine model is used for mapping the object positions on the soccer image into the position on the ground model. Problems regarding holes arising from mapping processing are solved using inverse mapping instead of a usual interpolation method. Experiments are performed on a PC using about 100 RGB images acquired at 240*640 resolution and 3∼5 frames per second.

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Sensitivity Analysis and Confidence Evaluation for Planar Errors of a Vertical Turning Center (수직형 선반의 평면 오차 민감도 분석 및 신뢰도 평가)

  • 여규환;양승환
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.11
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    • pp.67-75
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    • 1998
  • Geometric and thermal errors are key contributors to the errors of a computer numerically controlled turning center. A planar error synthesis model is obtained by synthesizing 11 geometric and thermal error components of a turning center with homogeneous coordinate transformation method. This paper shows the sensitivity analysis on the temperature change, the confidence evaluation on the uncertainty Of measurement systems, and the error contribution analysis from the planar error synthesis model. Planar error in the z direction was very sensitive to the temperature change. and planar errors in the x and z directions were not affected by the uncertainty of measurement systems. The error contribution analysis ,which is applicable to designing a new turning center, was helpful to find the large error components which affect planar errors of the turning center.

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Extraction of the three-dimensional surface coordinate from a stereo image (스테레오 영상을 이용한 3차원 표면좌표 추출 알고리즘)

  • 원성혁;김민기;김병우;이기식;김헌배
    • Proceedings of the IEEK Conference
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    • 2000.06d
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    • pp.210-213
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    • 2000
  • In the closed range space, the parallel two CCD cameras are used to acquire a pair of stereo image. The acquired stereo image are computed with Wavelet Transform repeatedly and including the low frequency component, the image size of those are reduced. It is the pyramid structure. The optimum matching point is searched to the pixel. Then appling the optimum matching point to DLT, it extract the three - dimensional surface coordinate from a stereo image. The direct linear transformation(DLT) method is used to calibrate the stereo camera compute the coordinate on a three dimensional space. To find the parameters for the DLT method, 30 control points which marked on the cylinder type object are used. To improve the matching algorithm, the paper select the pyramid structure for Wavelet Transform. The acquired disparity information is used to represent the really three-dimensional surface coordinate.

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NUMERICAL EVALUATION OF CAUCHY PRINCIPAL VALUE INTEGRALS USING A PARAMETRIC RATIONAL TRANSFORMATION

  • Beong In Yun
    • The Pure and Applied Mathematics
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    • v.30 no.4
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    • pp.347-355
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    • 2023
  • For numerical evaluation of Cauchy principal value integrals, we present a simple rational function with a parameter satisfying some reasonable conditions. The proposed rational function is employed in coordinate transformation for accelerating the accuracy of the Gauss quadrature rule. The efficiency of the proposed rational transformation method is demonstrated by the numerical result of a selected test example.

Kinematic Modeling for Autonomous Bicycle Using Differential Motion Transformation (미소운동 변환을 이용한 자율주행 자전거의 기구학 모델)

  • Yi, Soo-Yeong
    • The Journal of Korea Robotics Society
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    • v.8 no.4
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    • pp.292-297
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    • 2013
  • This paper presents a new method of kinematic modeling for autonomous bicycle by using the differential motion transformation. Kinematic model is indispensable to trajectory planning and control for an autonomous mobile robot. The conventional methods of kinematic modeling for an autonomous bicycle depend on intuition by geometry. On the contrary, the proposed method in this paper is based on the systematic differential motion transformation, thus applicable to various types of autonomous bicycles. The differential motion transformation gives Jacobian between two coordinate frames and the velocity kinematics as a result.