• Title/Summary/Keyword: Direct Linear Transformation

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The Evaluations of Sensor Models for Push-broom Satellite Sensor

  • Lee, Suk-Kun;Chang, Hoon
    • Korean Journal of Geomatics
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    • v.4 no.1
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    • pp.31-37
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    • 2004
  • The aim of this research is comparing the existing approximation models (e.g. Affine Transformation and Direct Linear Transformation) with Rational Function Model as a substitute of rigorous sensor model of linear array scanner, especially push-broom sensor. To do so, this research investigates the mathematical model of each approximation method. This is followed by the assessments of accuracy of transformation from object space to image space by using simulated data generated by collinearity equations which incorporate or depict the physical aspects of linear array sensor.

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Linear Quadratic Regulation and Tracking using Output Feedback with Direct Feedthrough

  • Kang, Seungeun;Cha, Jihyoung;Ko, Sangho
    • International Journal of Aeronautical and Space Sciences
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    • v.17 no.4
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    • pp.593-603
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    • 2016
  • This paper presents the development of linear quadratic regulation and output tracking algorithms using output feedback when both the measurement and performance output equations contain direct feedthrough terms. Although all physical systems can be modeled without direct feedthrough, there are still many situations where system models with direct feedthrough are important. For this situation, we modify previous work on the same topic for systems without direct feedthrough. It is shown that for the regulation problem, the optimal output feedback gain for a direct feedthrough case can be directly obtained, via a transformation, from the approach used for systems without direct feedthrough. However, for the tracking problem, a new set of coupled matrix equations for determining the optimal output feedback gain is derived from the necessary conditions for minimizing the cost function. The effectiveness of the developed algorithms is demonstrated using numerical examples.

A Study on the Three Dimensional Coordinates Analysis by Direct Linear Transformation (직접선형변환을 이용한 3차원 좌표해석에 관한 연구)

  • 김감래;이호남
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.5 no.2
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    • pp.47-55
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    • 1987
  • In this paper, the direct linear transformation is described in which a inner and exterior orientation parameters are treated as unknown for non-iterative direct space resection, and the computer program was developed to obtain object space coordinates. Image coordinates measurements are conducted with analogue stereo-plotter and digitizer. To prove the appropriateness of the two image coordinate measurement devices and the DLT method, the standard errors of object space coordinates are compared with semi-analytical method.

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Determination of Physical Camera Parameters from DLT Parameters (직접선형변환 매개변수로부터 물리적 사진기 매개변수의 산정)

  • Jeong, Soo;Lee, Chang-No;Oh, Jae-Hong
    • Journal of Korean Society for Geospatial Information Science
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    • v.13 no.2 s.32
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    • pp.39-43
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    • 2005
  • In this study, we analyzed the accuracy of the conversion from DLT parameters to physical camera parameters and optimized the use of DLT model for non-metric cameras in photogrammetric tasks. Using the simulated data, we computed two sets of physical camera parameters from DLT parameters and Bundle adjustment for various cases. Comparing two results based on the RMSE values of check points, we optimized the arrangement of GCPs for DLT.

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Control of Morphological Development and Transformation of Curves (곡선의 형태학적 성장과 변환의 제어 방법)

  • Lee, Joo-Haeng;Park, Hyung-Jun
    • Korean Journal of Computational Design and Engineering
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    • v.12 no.5
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    • pp.354-365
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    • 2007
  • We present novel methods to generate a sequence of shapes that represents the pattern of morphological development or transformation of Bezier curves. The presented methods utilize the intrinsic geometric structures of a Bezier curve that are derived from rib and fan decomposition (RFD). Morphological development based on RFD shows a characteristic pattern of structural growth of a Bezier curve, which is the direct consequence of development path defined by fans. Morphological transformation based RFD utilizes development patterns of source and target curves to mimic the theory of evolutionary developmental biology: although the source and target curves are quite different in shapes, we can easily find similarities in their younger shapes, which makes it easier to set up feature correspondences for blending them. We also show that further controls on base transformation for intensity of feature blending, and extrapolation can compensate the immaturity of blended curves. We demonstrate the experimental results where transformation patterns are smoother and have unique geometric style that cannot be generated using conventional methods based on multi-linear blending.

Application of the Laplace transformation for the analysis of viscoelastic composite laminates based on equivalent single-layer theories

  • Sy, Ngoc Nguyen;Lee, Jaehun;Cho, Maenghyo
    • International Journal of Aeronautical and Space Sciences
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    • v.13 no.4
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    • pp.458-467
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    • 2012
  • In this study, the linear viscoelastic response of a rectangular laminated plate is investigated. The viscoelastic properties, expressed by two basic spring-dashpot models, that is Kelvin and Maxwell models, is assumed in the range to investigate the influence of viscoelastic coefficients to mechanical behavior. In the present study, viscoelastic responses are performed for two popular equivalent single-layered theories, such as the first-order shear deformation theory (FSDT) and third-order shear deformation theory (TSDT). Compliance and relaxation modulus of time-dependent viscoelastic behavior are approximately determined by Prony series. The constitutive equation for linear viscoelastic material as the Boltzmann superposition integral equation is simplified by the convolution theorem of Laplace transformation to avoid direct time integration as well as to improve both accuracy and computational efficiency. The viscoelastic responses of composite laminates in the real time domain are obtained by applying the inverse Laplace transformation. The numerical results of viscoelastic phenomena such as creep, cyclic creep and recovery creep are presented.

Gross Error Detection and Determination of Exterior Orientation Elements in Non-metric Photos (비측량용(非測量用) 사진(寫眞)에서의 과대오차(過大誤差) 검출(檢出) 및 외부표정요소(外部標定要素) 결정(決定))

  • Yeu, Bock Mo;Sohn, Duke Jae;Park, Hong Gi
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.4
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    • pp.125-132
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    • 1987
  • The bundle adjustment used in photogrammetric data reduction is based on the collinearity condition. Photogrammetry has been used in many non-topographic applications. Due to the necessities of having fiducial marks and knowing initial approximations for interior and exterior orientation elements in bundle adjustment, it cannot be applied when non-metric cameras are used. Marzan and Karara develop the DLT(Direct Linear Transformation) program which directly transforms comparator coordinates into object space coordinates without approximate values. In this paper, several modifications of original DLT program have been made for accuracy improvement in close-range photogrammetry using non-metric cameras. In modified program, gross error detection method and computation of exterior orientation elements are incorporated, and more iterations are introdued.

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THE GRAPHICAL D-Q TRANSFORMATION OF GENERAL POWER SWITCHING CONVERTERS

  • Rim, Chun-T.;Hu, Dong-Y.;Cho, Gyu-H.
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.388-393
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    • 1988
  • New circuit D-Q transformation concept is introduced to analyze AC converters such as inverters, rectifiers and cyclo-converters with ease. The equivalent linear time invariant circuit is obtained by substituting switches with equivalent turn-ratio variable transformers and changing balanced AC reactors into equivalent DC reactors combined by gyrators. This circuit enables us to utilize the powerful linear system analysis techniques such as Laplace transform otherwise which could not be applied to the time varying switching systems. Direct substitution of switches of DC converters with transformers is shown as a preliminary. Then the modeling procedure is shown for a controlled rectifier-inverter circuit. Finally an analysis example is proposed for a buck-boost inverter and the result is compared with the conventional approach. This approach is applicable to all AC converter families to determine the AC transfer functions and the DC operating points. It is identified that the switching systems are equivalent to the RLC filter circuits with transformers and gyrators.

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Monitoring the Welding Gap/Profile with Visual Sensor (시각센서를 이용한 용접 Gap/Profile 모니터링)

  • Kim, Chang-Hyeon;Choe, Tae-Yong;Lee, Ju-Jang;Seo, Jeong;Park, Gyeong-Taek;Gang, Hui-Sin
    • Proceedings of the Korean Society of Laser Processing Conference
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    • 2005.06a
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    • pp.3-8
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    • 2005
  • The robot systems are widely used in the welding manufacturing. The essential tasks to operate the welding robot are the acquisition of the position and/or shape of the parent metal. For the seam tracking or the robot automation, many kinds of contact and non-contact of the system which monitors the shape of the welding part is described. This system uses the line-type structured laser diode and the visual sensor. It includes the correction of radial distortion which is often found in the image from the camera with short focal length. Direct Linear Transformation (DLT) is used for the camera calibration. The three dimensional shape of the parent metal is obtained after simple linear transformation. Therefore, the system operates in real time. Some experiments are carried out to evaluate the performance of the developed system.

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A Study on the Development of New State Estimation Algorithm by the Decomposition Method of Linear Transformation (선형변환분할 기법에 의한 새로운 상태추정 앨고리즘 개발에 관한 연구)

  • 송길영;김영한;최상규
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.35 no.4
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    • pp.148-155
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    • 1986
  • This paper presents a new decoupled power system state estimation method. The decoupling is achieved via simple linear transformation on power measurements in contrast with the modified fast decoupled state estimation method which assumes decoupling by direct negligence of the off-diagonal blocks of the observation functions. The new estimation method is compared with the modified decoupled state estimation method against IEEE-14 bus model power system and 25 bus model power system in several system conditions. It is observed that the proposed method shows better convergence performance and filtering performance than a modified fast decoupled state estimation.

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