• Title/Summary/Keyword: 최소 자승 오차법

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Calculation of Zero Error and Scale Error of EDM by Precise Baseline Measurement (정밀 기선장 관측에 의한 EDM 장비의 영점오차와 축척오차의 결정)

  • 조재명;윤홍식;이원춘
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.22 no.2
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    • pp.137-143
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    • 2004
  • The electronic distance measurement(EDM) instrument, introduced first in the 1950s since those early days has, undergone continual refinement. Rapid advances established in related technologies have made it lighter, smaller and more precise equipment. Understanding for the principle, the standardized observation technique and the precision of EDM instrument is mostly important to improve the quality and the reliability of by-product in the field of engineering and industrial surveying. Periodical and accurate calibration is necessary to maintenance the precision of EDM instrument. This paper describes the calculated example of zero error and scale error as a correction of EDM by applying the least square method to baseline observations in test area. Also here we deal with the testing criteria for precision instrument testing according to different types of EDM instruments.

The Development of Topographic Feature Extraction Method by use of the Seafloor Curvature Measurement (곡률 계산에 의한 해저면 지형요소 추출 기법 개발)

  • Kim, Hyun-Sub;Jung, Mee-Sook;Park, Cheong-Kee
    • Geophysics and Geophysical Exploration
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    • v.10 no.3
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    • pp.163-172
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    • 2007
  • A seafloor curvature measurement method was developed to extract redundant topographic features from the multi-beam bathymetry data, and then applied to the data of abyssal plain area in the Pacific. Any seafloor might be modeled to a quadratic surface determined in a linear least squares sense, and its curvature could be derived from the eigen values related with quadratic model parameters. The curvature's magnitude as well as polarity showed distinct relationship with geometric characteristics of the seafloor like as ridge and valley. From the investigation of curvature's variation with the number of data in the quadratic surface, the optimal size of data aperture could be applied to real bathymetry data. The application to real data also required the determination of the accompanying threshold values to cope with corresponding topographic features. The calculation method of previous studies were reported to be sensitive to the background noise. The improved curvature measurement method, incorporating the sum of eigen values has reduced unwanted artifacts and enhanced ability to extract lineament features along strike direction. The result of application shows that the curvature measurement method is effective tool for the estimation of a possible mining area in the seamount free abyssal hill area.

Comparison of Partial Least Squares and Support Vector Machine for the Flash Point Prediction of Organic Compounds (유기물의 인화점 예측을 위한 부분최소자승법과 SVM의 비교)

  • Lee, Chang Jun;Ko, Jae Wook;Lee, Gibaek
    • Korean Chemical Engineering Research
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    • v.48 no.6
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    • pp.717-724
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    • 2010
  • The flash point is one of the most important physical properties used to determine the potential for fire and explosion hazards of flammable liquids. Despite the needs of the experimental flash point data for the design and construction of chemical plants, there is often a significant gap between the demands for the data and their availability. This study have built and compared two models of partial least squares(PLS) and support vector machine(SVM) to predict the experimental flash points of 893 organic compounds out of DIPPR 801. As the independent variables of the models, 65 functional groups were chosen based on the group contribution method that was oriented from the assumption that each fragment of a molecule contributes a certain amount to the value of its physical property, and the logarithm of molecular weight was added. The prediction errors calculated from cross-validation were employed to determine the optimal parameters of two models. And, an optimization technique should be used to get three parameters of SVM model. This work adopted particle swarm optimization that is one of heuristic optimization methods. As the selection of training data can affect the prediction performance, 100 data sets of randomly selected data were generated and tested. The PLS and SVM results of the average absolute errors for the whole data range from 13.86 K to 14.55 K and 7.44 K to 10.26 K, respectively, indicating that the predictive ability of the SVM is much superior than PLS.

Determination of Diazepam in Intact Diazepam Tablets Using Near Infrared Spectroscopy (근적외선 분광법을 이용한 디아제팜정에서 디아제팜의 정량)

  • Choi, Hyun Cheol;Kang, Shin Jung;Youn, Mi Ok;Lee, Su Jung;Kim, Ho Jung;Kim, Ji Yeon;Cha, Ki Won
    • Analytical Science and Technology
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    • v.15 no.3
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    • pp.243-247
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    • 2002
  • A rapid and simple determination of diazepam in intact diazepam tablets has been investigated using the near infrared spectroscopy(NIRS) combined with partial least squares regession. The separate calibration curves of 2 mg and 5 mg diazepam tablets were studied, as well as the linearity, concentration range and reproducibility of those calibration curves were evaluated. The correlation coefficients of calibration curves of 2 mg and 5 mg diazepam tablets are 0.9416 and 0.9159, respectively and the standard errors of calibration curves(SEC) are 0.018% and 0.032%, respectively.

Development of Exponential Model of Korea for Improved Altitude Estimation Performance of High-Altitude Target at Radar System (레이더에서 고고도 표적물의 고도 예측 성능 향상을 위한 한국형 지수 모델 개발에 관한 연구)

  • Moon, Hyun-Wook;Jeon, Min-Hyun;Kim, Woo-Joong;Oh, Seong-Keun;Lee, Jong-Hyun;Kwon, Se-Woong;Yoon, Young-Joong
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.7
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    • pp.831-839
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    • 2012
  • In this paper, an exponential model of Korea is proposed to minimize an altitude-error of high-altitude target due to atmosphere refraction at radar system. The relation between surface refractivity and refractivity gradient, which is extracted using the least square fit from the measured data at 7 weather stations, is applied to the exponential model. And in order to verify the proposed model, the altitude-errors for a standard atmosphere, a CRPL(Central Radio Propagation Lab.) exponential model, the proposed model are extracted and analyzed using a ray tracing. As a result, the proposed model can improve the altitude estimation performance of radar compared to conventional atmosphere refractive index models.

Joint Connection of Stage-Discharge Rating Curves by Cubic Spline (3차 스플라인을 이용한 수위-유량관계곡선의 접점 연결)

  • Lee, Chang-Hae;Jang, Suk-Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.199-203
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    • 2008
  • 수위관측지점의 수위-유량관계는 하천단면 형태와 경사에 따라 1개의 유량곡선이 형성될 수도 있으나, 저수위, 평수위, 고수위 등 여러 개 구간의 곡선이 각각 다른 형태로 구성될 수 있다. 또한 이러한 곡선의 연결접점에서 연결이 연속적이어야 하고 부드러워야 한다고 알려져 있다. 각 수위구간에서 유도된 수위-유량관계곡선이 수위구간을 나눈 경계수위에서 곡선식이 일치하지는 경우가 종종 나타난다. 본 연구에서는 경계수위와 곡선접점이 일치하는지 여부를 판단하고 오차의 크기를 확인하기 위하여 할선법을 적용하여 Excel의 VBA로 프로그램을 작성하여 사용하였다. 한편, 수위유량곡선의 연결부에서 부드럽게 연결되는 것이 바람직 하지만, 지금까지 실무에서는 경계수위에서 기울기가 급변하는 형태의 수위-유량관계곡선을 사용하고 있다. 왜냐하면 최소자승회귀분석을 통하여 유도되는 과정에서 경계수위지점의 1차 도함수를 일치시키는 것은 현실적으로 불가능하기 때문이다. 본 연구에서는 이러한 문제를 해결하기 위하여, 회귀분석으로 지수함수의 형태로 유도된 수위-유량관계곡선으로부터 수위와 유량의 대표 값을 계산하고 이들 대표 값들을 3차 스플라인 보간법을 이용하여 1차 도함수를 접점에서 일치시키는 부드러운 연결과 함께 수위-유량관계곡선과도 잘 일치하는 새로운 대안을 제시하였다. 2006년도 한국수문조사연보(유량편)의 자료를 검토하여 문제점들을 도출하고, 본 연구에서 제안한 방법들을 적용하여 보았다.

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Estimation Model for Optimum Probabilistic Rainfall Intensity on Hydrological Area - With Special Reference to Chonnam, Buk and Kyoungnam, Buk Area - (수문지역별 최적확률강우강도추정모형의 재정립 -영.호남 지역을 중심으로 -)

  • 엄병헌;박종화;한국헌
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.38 no.2
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    • pp.108-122
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    • 1996
  • This study was to introduced estimation model for optimum probabilistic rainfall intensity on hydrological area. Originally, probabilistic rainfall intensity formula have been characterized different coefficient of formula and model following watersheds. But recently in korea rainfall intensity formula does not use unionize applyment standard between administration and district. And mingle use planning formula with not assumption model. Following the number of year hydrological duration adjust areal index. But, with adjusting formula applyment was without systematic conduct. This study perceive the point as following : 1) Use method of excess probability of Iwai to calculate survey rainfall intensity value. 2) And, use method of least squares to calculate areal coefficient for a unit of 157 rain gauge station. And, use areal coefficient was introduced new probabilistic rainfall intensity formula for each rain gauge station. 3) And, use new probabilistic rainfall intensity formula to adjust a unit of fourteen duration-a unit of fifteen year probabilistic rainfall intensity. 4) The above survey value compared with adjustment value. And use three theory of error(absolute mean error, squares mean error, relative error ratio) to choice optimum probabilistic rainfall intensity formula for a unit of 157 rain gauge station.

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Correction Method of Tracking Error for Astronomical Telescope Using Recursive Least Square Method (재귀 최소자승법을 이용한 천체 망원경의 추적 오차 보정법)

  • Kwak, Dong-Hoon;Kim, Tae-Han;Lee, Young-Sam
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.3
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    • pp.224-229
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    • 2012
  • In this paper, we propose a correction method for astronomical telescope using recursive least square method. There are two ways to move a telescope : equatorial operation and altazimuth operation. We must align polar axis of a equatorial telescope with the north celestial pole and adjust the horizontal axis of a altazimuth telescope exactly to match the celestial coordinate system with the telescope coordinate system. This process needs time and expertise. We can skip existing process and correct a tracking error easily by deriving the relationship of the celestial coordinate system and the telescope coordinate system using the proposed correction method. We obtain the coordinate of a celestial body in the celestial coordinate system and the telescope coordinate system and derive a transformation matrix through the obtained coordinate. We use recursive least square method to estimate the unknown parameters of a transformation matrix. Finally, we implement a telescope control system using a microprocessor and verify the performance of the correction method. Through an experiment, we show the validity of the proposed correction method.

Measurement of Thickness Distribution of $Si_3N_4$ Membrane Using Phase-Shifting Interferometer (위상이동 간섭계를 이용한 $Si_3N_4$ 박막의 두께 분포 측정)

  • Lee, Jung-Hyun;Jeong, Seung-Jun;Kang, Jeon-Woong;Jeon, Yun-Seong;Hong, Chung-Ki
    • Journal of the Korean Society for Nondestructive Testing
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    • v.25 no.2
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    • pp.67-73
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    • 2005
  • The thickness of a Si3N4 thin film with a 100m nominal thickness was measured by use of a Mach-Zehnder interferometer. The map of the phase-delay through the thin film was obtained by an interframe intensity-correlation-matrix method that could elliminate phase-shifting errors. After the spatial phase-shifting errors were treated with a least-squares method, the reference to surface of the phase map was estimated. The overall accuracy of the method was found to be 5nm.

Study on Optimization of Look-Up Table to Reduce Error of Three-dimensional Interpolation (3차원 보간 오차를 개선하기 위한 룩업 테이블의 최적화에 관한 연구)

  • Kim, Joo-Young;Lee, Hak-Sung;Han, Dong-Il
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.44 no.2 s.314
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    • pp.12-18
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    • 2007
  • The three dimensional interpolation is widely used for many kinds of color signal transformation such as real-time color gamut mapping. Given input color signal, the output color signal is approximately calculated by the interpolation with the input point and extracted values from a lookup table which is constructed by storing the values of transformation at regularly packed sample points. Apparently, errors of the interpolated approximation heavily depend on the selection of the lookup table. In this paper, a least square method is applied to assigning values of the lookup table with fixed size in order to minimize error of three-dimensional interpolation. The experimental result shows that the proposed method has better interpolation performance.