• Title/Summary/Keyword: Least Square Fitting

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Robust Estimation of Camera Parameters from Video Signals for Video Composition (영상합성을 위한 영상으로부터의 견실한 카메라피라미터 확정법)

  • 박종일;이충웅
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.32B no.10
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    • pp.1305-1313
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    • 1995
  • In this paper, we propose a robust estimation of camera parameters from image sequence for high quality video composition. We first establish correspondence of feature points between consecutive image fields. After the establishment, we formulate a nonlinear least-square data fitting problem. When the image sequence contains moving objects, and/or when the correspondence establishment is not successful for some feature points, we get bad observations, outliers. They should be properly eliminated for a good estimation. Thus, we propose an iterative algorithm for rejecting the outliers and fitting the camera parameters alternatively. We show the validity of the proposed method using computer generated data sets and real image sequeces.

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STRUCTURE OF THE SPIRAL GALAXY NGC 300 II. Applications of the Mass Models

  • Rhee, Myung-Hyun;Chun, Mun-Suk
    • Journal of The Korean Astronomical Society
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    • v.25 no.1
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    • pp.11-21
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    • 1992
  • Applying mass model to disk galaxy NGC 300, since the observed rotation curve of NGC 300 is flatter than Toomre's mass model n = 1, two cases are used; obtaining parameters $a^n$ and $b^n$ from the polynomial fitting of the observed rotation curve (case A) and from the least square fitting between the observed rotation curve and model rotation curve (case B). In any case, n bas a fixed value of 1. Brandt's mass model is also discussed. which has a shape parameter n = 1.4. Calculated total mass and total mass to luminosity ratio are $3.3{\times}10^{10}M_{\odot}$, l2.1 for case A and $2.8{\times}10^{10}M_{\odot}$, 10.3 for case B. In case of Brandt's model, the values are $4.2{\times}10^{10}M_{\odot}$ and 15.4. The rise in the local mass to luminosity ratio in the outer part of NGC 300 implies existence of massive halo. Other dynamical properties are also discussed.

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NEW VARIABLE STARS IN THE REGION OF THE OPEN CLUSTER M38 (NGC 1912) II (산개성단 M38(NGC 1912) 영역의 새로운 변광성 II)

  • Jeon, Young-Beom
    • Publications of The Korean Astronomical Society
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    • v.25 no.2
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    • pp.31-49
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    • 2010
  • Next to Paper I (Jeon 2009a), time-series BV CCD images of the open cluster M38 were taken for 4 nights on December, 2009. The observations have been carried out for total 27 nights. In addition to the 20 variable stars in the Paper I, the discovery of 44 new variable stars has been presented in this paper: $6{\delta}$ Scuti stars, $2{\gamma}$ Doradus stars, 18 eclipsing binaries and 18 semi-long periodic and/or slow irregular type variable stars. For the V photometry of the ${\delta}$ Scuti and ${\gamma}$ Doradus stars, multi-frequency analysis was performed using the Discrete Fourier Transform and linear least-square fitting. The period search for the eclipsing binaries and the semi-long periodic and/or slow irregular type variable stars was performed by phase fitting method. As a result, the periods for 23 variable stars among the 44 ones were defined.

Computation of partial derivatives from an image

  • Yang, Woo-Suk;Han, Inhwan
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.526-531
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    • 1992
  • Partial derivatives are easily computed analytically assuming that all the geometric information is known. However, there are computational difficulties in getting accurate partial derivatives directly from a range image since an image is a discrete version of continuous data contaminated with some noise. In this paper, we develop a general window function to compute partial derivatives based on the least square surface fitting method. A dynamic selective surface fitting method is introduced to make the window less sensitive to noise. Any degree of partial derivative can be obtained by a simple convolution between an image and window functions.

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The development of On-line Model for the Prediction of Effective Strain Distribution by Non-dimensionalization on FEM Basis (유한요소법 기반의 무차원화를 이용한 판 유효 변형률 분포 예측 온라인 모델 개발)

  • Kim S. H.;Lee J. H.;Hwang S. M.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2004.08a
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    • pp.359-367
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    • 2004
  • In this research on-line model for the prediction of the effective strain distribution in strip on finishing mill process is presented. To describe the effective strain distribution in strip, three guide points and a distribution fitting variable are used. On-line models to get these points and fitting variable non-dimensionalization method and least square method were used with FEM simulation results. The model is developed using strip only FEM simulation as reference sets and compared with roll coupled FEM simulation results as perturbed sets. The on-line model to describe effective strain distribution shows good agreement with coupled FEM analysis results.

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Accuracy Improvement of Lattice Parameters Measured from Electron Diffraction Data (전자회절을 이용한 격자상수의 측정 정확도 향상)

  • Lee, Sang-Gil;Song, Kyung;Kim, Jin-Gyu
    • Applied Microscopy
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    • v.41 no.1
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    • pp.75-79
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    • 2011
  • For quantitative analysis of nano-crystal structure, we reported the accuracy improvement method of lattice parameters measured from electron diffraction. For calculation of Au lattice parameters used as a standard crystal structure, it was considered two different acquisition methods (detector and enegy-filter) and three different calculation methods (conventional, least-square and regression fit). As a result, the measurement reliability could be enhanced by using CCD camera which gives higher performance, while energy-filtering did not affect the improvement the camera constant accuracy. Also, the accuracy of lattice parameters could be improved up to $10^{-4}$ order by regression fitting with correction formula. Finally, it is expected that the combination of regression fitting and intensity extraction from energy-filtered precession electron diffraction gives a solution of quantitative structure analysis for unknown nano-crystals.

Z-Domain Frequency Dependent AC System Equivalent for Electromagnetic Transient Studies (전자기 과도 현상 해석을 위한 Z 영역에서의 주파수 의존 교류시스템 등가)

  • Wang, Yong-P.;Hur, Dong-Y.;Park, Hee-C.;Chung, Hyeng-H.
    • Proceedings of the KIEE Conference
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    • 2001.11b
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    • pp.252-255
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    • 2001
  • Modern power systems are very complex and to model them completly is impractical for electromgnetic transient studies. Therefore areas outside the immediate area of interest must be represented by some form of Frequency Dependent Network Equivalent (FDNE). In this paper a method for developing FDNE is presented and demonstrated. The FDNE is generated by Linearized Least Square fitting the frequency response of a z-domain formulation. The advantage of this approach is that a direct implementation occurs which dose not incur errors due to discretization inherent with implementing a fitting function in the s-domain. The developed FDNE is accurate and efficient.

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The Theoretical Calculations of Kinetic and Thermodynamics Parameters and Anharmonic Correction for the Related Reactions of NO3

  • Yu, Hongjing;Liu, Yancheng;Xia, Wenwen;Wang, Li;Jiang, Meiyi;Hu, Wenye;Yao, Li
    • Journal of the Korean Chemical Society
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    • v.65 no.6
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    • pp.419-432
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    • 2021
  • According to the transition state (TS) theory, Gaussian software and Yao and Lin (YL) method, the thermodynamics and kinetic data respectively were calculated, and anharmonic effect was considered for related reactions of NO3. The methods of calculating and fitting kinetic and thermodynamics parameters were provided by least square method and related equations in this paper. Notably, the fitted E of Arrhenius equation was close to the calculated barrier of related reaction by QCISD(T) method. Therefore, the kinetic fitting result can well express the physical meaning of E in Arrhenius equation. Besides, the conversion process and the reaction mechanism of NO3 were researched. For NO3, it seemed that its instability results from its easy reaction with other substances rather than the decompose reaction of itself.

Cluster Cell Separation Algorithm for Automated Cell Tracking (자동 세포 추적을 위한 클러스터 세포 분리 알고리즘)

  • Cho, Mi Gyung;Shim, Jaesool
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.37 no.3
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    • pp.259-266
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    • 2013
  • An automated cell tracking system is used to automatically analyze and track the changes in cell behavior in time-lapse cell images acquired using a microscope with a cell culture. Clustering is the partial overlapping of neighboring cells in the process of cell change. Separating clusters into individual cells is very important for cell tracking. In this study, we proposed an algorithm for separating clusters by using ellipse fitting based on a direct least square method. We extracted the contours of clusters, divided them into line segments, and then produced their fitted ellipses using a direct least square method for each line segment. All of the fitted ellipses could be used to separate their corresponding clusters. In experiments, our algorithm separated clusters with average precisions of 91% for two overlapping cells, 84% for three overlapping cells, and about 73% for four overlapping cells.

A Study on the Applicability of the Short-term Rainfall Forecasting using Translation Model (이류모델을 활용한 초단시간 강수예보의 적용성 검토)

  • Yoon, Seong-Sim;Lee, Jong-Dae;Bae, Deg-Hyo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.193-197
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    • 2009
  • 오늘날 도시지역의 무분별한 개발로 인해 불투수면적이 증가하여 첨두유량 및 유출용적의 증가와 홍수도달시간을 단축시키고 있으며, 특히 도시유역에서는 하천 홍수위 상승에 의한 외수피해와 순간적인 집중호우에 의해 도로 노면수의 배수불량에서 기인하는 내수피해가 결합되어 홍수피해가 더욱 가중되고 있는 실정이다. 이에 대한 효율적인 조기 대응책으로 도시 수문기상 현상의 변화 및 현황을 파악하여 홍수로 인한 인명 및 재산피해를 최소화할 수 있는 적절한 홍수 예 경보 시스템의 구축을 들 수 있다. 이를 위하여 선진 외국의 경우 기상전문가에 의한 집중호우 현상규명 및 사전예보 기법 확립과 수자원 전문가에 의한 이들 예보자료를 활용한 특정지역의 홍수피해 유무를 사전에 예측하는 기상과 수자원의 학제간 연구가 활발히 진행되고 있다. 국내의 경우 기상 현업에서는 국지성 집중호우 예측과 단시간 강수예보를 위해 수치예보모형, 레이더 및 기상위성을 활용하고 있으나 수자원 분야에서는 예측강우를 활용한 홍수예보에 관한 연구는 매우 미진한 상태이다. 특히 도시홍수의 경우 도달시간이 매우 짧으므로 강수의 초단시간 예보기법을 통한 강수예보의 선행시간 확보는 매우 중요하다. 이를 위해 본 연구에서는 기상레이더 정보와 이류모델을 활용한 초단시간 강수예보의 적용성을 검토하였다. 이류모델은 강우강도 분포를 이류벡터에 따라 이동시키면서 강우의 발달쇠약 회전 등을 고려하여 강수를 예측하는 모형이다. 본 연구에서는 초단시간 강수예보의 적용성 검토를 위해 Least-square fitting 기법으로 레이더 강수를 추정하고, 추정된 강수를 이류모델의 입력장으로 활용하였다. 또한, 도시홍수예보의 활용을 위해 중랑천 유역을 대상으로 초단시간 예측강수의 유역면적평균강우량을 산정하여 적용성을 평가하였다.

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