• Title/Summary/Keyword: Least Square Fitting

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A Study on the Sensor Calibration of Motion Capture System using PSD Sensor to Improve the Accuracy (PSD 센서를 이용한 모션캡쳐센서의 정밀도 향상을 위한 보정에 관한 연구)

  • Choi, Hun-Il;Jo, Yong-Jun;Ryu, Young-Kee
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.583-585
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    • 2004
  • In this paper we will deal with a calibration method for low cost motion capture system using psd(position sensitive detection) optical sensor. To measure the incident direction of the light from LED emitted marker, the PSD is used the output current ratio on the electrode of PSD is proportional with the incident position of the light focused by lens. In order to defect the direction of the light, the current output is converted into digital voltage value by opamp circuits peak detector and AD converter with the digital value the incident position is measured. Unfortunately, due to the non-linearly problem of the circuit poor position accuracy is shown. To overcome such problems, we compensated the non-linearly by using least-square fitting method. After compensated the non-linearly in the circuit, the system showed more enhanced position accuracy.

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Photoinduced Anisotropy and Reorientation of Anisotropic Axis in Amorphous $As_2S_3$ Thin Film (비정질 $As_2S_3$ 박막의 광유도 비등방성과 비등방축의 가역성)

  • 김향균
    • Proceedings of the Optical Society of Korea Conference
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    • 1990.02a
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    • pp.162-166
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    • 1990
  • Photoinduced anisotropy (PIA) in amorphous As2S3 (a-As2S3 ) thin film, deposited by vacuum evaporation, is investigated. PIA is induced by linearly polarized Ar+ laser beam (λ=514.5nm) and probed by weak Ar+ laser (λ=514.5nm) and He-Ne laser (λ=632.8nm) beam through the crossed analyzer. Keeping pump beam intensity constantly, rotation of pump beam polarization direction induces reorientation phenomina of anisotropic axis. Introducing directional factor into simplified 3-level system, which is used to analyze photodarkening phenomina, an analytical expression of PIA is derived. Temporal behavior of PIAand its reorientation phenomina are investigated andcompared with theory. In the experiment pump beam intensity is 100mW/$\textrm{cm}^2$ and thickness of a-As2S3 thin film is 3${\mu}{\textrm}{m}$. In those condition, time constant of photoinduced anisotropy obtained by method of least square curve fitting is 4.0$\times$10-2sec-1. The time constant of PIA we obtained is larger than that of photodarkening, 2.8$\times$10-2sec-1.

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ALUMINUM SPACE FRAME B.I.W. OPTIMIZATION CONSIDERING MULTIDISCIPLINARY DESIGN CONSTRAINTS

  • KIM B. J.;KIM M. S.;HEO S. J.
    • International Journal of Automotive Technology
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    • v.6 no.6
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    • pp.635-641
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    • 2005
  • This paper presents an ASF (Aluminum Space Frame) BIW (Body in White) optimal design, which minimizes weight and satisfies multidisciplinary constraints such as static stiffness, vibration characteristics, low-/high-speed crash, and occupant safety. As only one cycle CPU time for all the analyses is 12 hours, the ASF design having 11-design variable is a large scaled problem. In this study, ISCD-II and conservative least square fitting method were used for efficient RSM modeling. Likewise, the ALM method was used to solve the approximate optimization problem. The approximate optimum was sequentially added to remodel the RSM. The proposed optimization method uses only 20 analyses to solve the 11-design variable problem. Moreover, the optimal design can achieve $15.6\%$ weight reduction while satisfying all the multidisciplinary design constraints.

Identification of Asymmetry in General Rotors from Directional Frequency Response Functions (방향성 주파수 응답 함수를 이용한 일반 회전체의 비대칭성 규명)

  • Seo, Yun-Ho;Kang, Sung-Woo;Lee, Chong-Won
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.941-944
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    • 2005
  • Asymmetry of rotor systems is an important factor for identification of dynamic characteristics including the stability and response of rotors and for condition monitoring. In this work, asymmetry of rotors is identified by applying curve-fitting method to the directional frequency response functions (dFRFs), which are known as a powerful tool for detecting the presence and degree of asymmetry. This method minimizes least square error between analytical and measured dFRFs by iteratively updating physical parameters associated with rotor asymmetry. The effectiveness of the identification method is demonstrated by experiments with a laboratory test rotor.

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Treatment of Contact between Roll/Roll and Roll/Strip for Rolling Process Simulation (압연공정해석을 위한 판과 롤의 접촉 경계면 처리)

  • 김태효;황상무
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.05a
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    • pp.156-159
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    • 2003
  • Surface normal vector and surface velocity are very important parameters to simulate rolling processes precisely. In this study, Local displacement functions are constructed for each node on the contact surface and parameters are found by the least square fitting of displacement on the neighbor nodes. Deformation gradient tensor is calculated from the displacement function and surface normal vector and velocity also can be derived. Flat rolling simulation model is presented on the basis of the suggested contact scheme. Series of rolling process simulation are carried out and the results are compared with the experiments.

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A Study on the Determination of Displacement by Applied Laser Measurement (레이저응용계측에 의한 변위 정량화에 관한 연구)

  • 김경석;홍진후;강기수;최지은
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.93-96
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    • 2000
  • This study discusses a non-contact optical technique, phase shifting electronic speckle pattern interferometry, that is well suited for a deformation measurement. However, the phase shifting method has difficulties for determinating a deformation quantitatively beacuse of the characteristics of arctan function. In order to solve this problem, phase unwrapping methods has been studied during the last few years. In this study, using phase unwrapping based on line by line scanning phase shifted fringe patterns are studied to determinate a deformation quantitatively. Also least square fitting method is applied to reduce noise and improve image resolution.

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Trajectory Control of Robot Manipulator based on the Preview Algorithm (예측 알고리즘을 이용한 로보트 매니퓰레이터의 경로 제어)

  • Yun, Won-Sik;Song, Chang-Sub;Yang, Hai-Won;Suh, Il-Hong;Oh, Jae-Eung
    • Proceedings of the KIEE Conference
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    • 1989.07a
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    • pp.675-678
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    • 1989
  • This paper proposes two types of the preview algorithms to predict the joint velocities and joint positions, and deals with a control approach using the preview algorithms for the precise trajectory control. Specifically, a predictor an the form of discrete time state equations is proposed based on the robot dynamics model linearized by the computed torque method. And another state predictor is proposed by the beat line fitting in the least square sense, where present joint velocities and positions and several past positions are employed. Then computer simulations are performed for the SCARA robot with two d.o.f. to show the validities of the proposed algothrithms.

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Development of the Soil Thermal Property and Temperature Measurement System for the Real-time Ampacity Estimation of Underground Power Cables (실시간 지중 전력케이블 용량 평가를 위한 토양 열 특성 및 온도 측정 시스템 개발)

  • Jeong, Seong-Hwan;Kim, Dae-Kyeong;Choi, Sang-Bong
    • Proceedings of the KIEE Conference
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    • 2002.07a
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    • pp.22-24
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    • 2002
  • This paper introduces the real-time soil thermal property analyzer and temperature measuring system which is combined with radio telecommunication technique. To measure the thermal parameters in real-time, the radio telecommunication technique are used the personal communication service (PCS) which is in the world-wide serviced commercially firstly by CDMA. The thermal property analyzer has an ability of measuring thermal resistivity, thermal diffusivity and thermal stability. To estimate the soil thermal properties, the curve fitting algorithm by means of the least square method are used. TCP/IP protocol and MTM are used to install the real-time soil thermal property and temperature measurement system at multiple locations along routes of the underground power cables and to reduce the cost of telecommunication.

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Measurements of Nonlinearity in homodyne interferometer (Homodyne interferometer의 Non I inear ity 측정)

  • 김종윤;엄태봉;정규원;최태영;이건희
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.55-59
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    • 2000
  • Nonlinearity is one of the primary causes of error in precision length measurement using laser interferometer. It arises periodically. The periodical nonlinearity usually ranges from sub-naometre to several namertres. In the homodyne interferometer, it results from a number of factors including polarization mixing, imperfect optical clement, unequal gain of detectors, misalignment of axes between input beam and beam splitter. In this paper, we described a method for measuring and compensating the nonlinearity of homodyne interferometer using the elliptical least-square fitting technique associated with electric method and experimental results in one frequency polarization interferometer.

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Active Noise Transmission Control Through a Panel Structure Using a Frequency Domain Identification Method (주파수 영역 모델 방법을 이용한 평판 구조물의 능동 소음전달 제어)

  • Kim, Yeung-Shik;Kim, In-Soo;Moon, Chan-Young
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.9
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    • pp.71-81
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    • 2001
  • This paper analyzes the effectiveness of minimizing vibration and sound transmission on/through a thin rectangular plate by both feedback control and hybrid control which combines adaptive feedforward control with a feedback loop. An experimental system identification technique using the matrix-fractional curve-fitting of the frequency response data is introduced for complex shaped structures. This identification technique reduces the model order o the MIMO(Multi-Input Multi-Output) system which simplifies the practical implementation. The adaptive feedforward control uses a Multiple filtered-x LMS(Least Mean Square) algorithm and the feedback control uses a multivariable digital LQG(Linear Quadratic Gaussian) algorithm. Experimental results show that an effective reduction of sound transmission is achieved by the hybrid control scheme when both vibration and noise measurement signals are incorporated in the controller.

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