• Title/Summary/Keyword: Coordinate Transformation

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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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Numerical Analysis of Flow and Heat Transfer in Duct with Repeated Cylindrical Blockages by Non-orthogonal Coordinate Transformation (주기적인 원주형 장애물이 있는 덕트유동 및 열전달의 비직교좌표변환에 의한 해석)

  • Choi, Y.D.;Lee, G.H.
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.17 no.4
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    • pp.473-488
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    • 1988
  • This paper is concerned with the prediction of two dimensional turbulent flows in the parallel plate with the repeated cylindrical blockages. The purpose of this paper is to find the effect of the eccentricity and the pitch of the repeated cylindrical blockages on the flow field, heat transfer coefficients and friction factors. A special technique is developed for the solution of the fully developed turbulent recirculating flow, in which the flow field varies periodically. A non-othogonal coordinate transformation is employed to solve the momentum and the energy equations. The results show that the pitch ratio or the eccentricity of the repeated blockages become smaller, or the Reynolds number of the flow larger, friction factors and heat transfer coefficients increase.

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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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Robot Velocity Kinematics by Closed-loop Chain and ICC (폐루프 체인 및 순간 일치 좌표계를 사용한 로봇의 속도 기구학)

  • 신동헌
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.4
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    • pp.103-111
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    • 2003
  • The Denavit-Hartenberg symbolic notation provides the framework for the convenient and systematic method for the robot manipulator kinematics, but is limited its use to the lower pair mechanism or to the single loop mechanisms. The Sheth-Uicker notation is its revised and generalized version to be extended fur the entire domain of the link mechanism including the higher pairs. This paper proposes the method that uses the Sheth-Uicker notation fur the robot kinematics modeling. It uses the instantly coincident coordinate system and the closed loop chain fur the coordinate transformation. It enables us to model the velocity kinematics of the robot that has the complex structures such as the ternary links and the wheels in a systematic and rational way. As an implementation of the proposed method, the Jacobian matrices were obtained for not only the robot with two legs and a torso, but a manipulator on a mobile platform.

Analytical solution for steady seepage and groundwater inflow into an underwater tunnel

  • Zou, Jin-feng;Wei, An;Liang, Li
    • Geomechanics and Engineering
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    • v.20 no.3
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    • pp.267-273
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    • 2020
  • Solutions of the water pressure and groundwater inflow distribution along the tunnel perimeter in a half-infinite aquifer were investigated considering the conditions of the constant head and constant water pressure. It is assumed that the circular tunnel is buried in a fully saturated, homogeneous, isotropic and half-infinite space. Coordinate transformation technique was adopted, the problem of solving the control equations of water pressure in the Cartesian coordinate was transformed to that in the bipolar coordinate system, which can significantly simplify the derivation procedure of the water pressure and inflow distribution. The validation results show the accuracy and advantage of the proposed approach.

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.

Geometrical Reorientation of Distorted Road Sign using Projection Transformation for Road Sign Recognition (도로표지판 인식을 위한 사영 변환을 이용한 왜곡된 표지판의 기하교정)

  • Lim, Hee-Chul;Deb, Kaushik;Jo, Kang-Hyun
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.11
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    • pp.1088-1095
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    • 2009
  • In this paper, we describe the reorientation method of distorted road sign by using projection transformation for improving recognition rate of road sign. RSR (Road Sign Recognition) is one of the most important topics for implementing driver assistance in intelligent transportation systems using pattern recognition and vision technology. The RS (Road Sign) includes direction of road or place name, and intersection for obtaining the road information. We acquire input images from mounted camera on vehicle. However, the road signs are often appeared with rotation, skew, and distortion by perspective camera. In order to obtain the correct road sign overcoming these problems, projection transformation is used to transform from 4 points of image coordinate to 4 points of world coordinate. The 4 vertices points are obtained using the trajectory as the distance from the mass center to the boundary of the object. Then, the candidate areas of road sign are transformed from distorted image by using homography transformation matrix. Internal information of reoriented road signs is segmented with arrow and the corresponding indicated place name. Arrow area is the largest labeled one. Also, the number of group of place names equals to that of arrow heads. Characters of the road sign are segmented by using vertical and horizontal histograms, and each character is recognized by using SAD (Sum of Absolute Difference). From the experiments, the proposed method has shown the higher recognition results than the image without reorientation.