• Title/Summary/Keyword: Sum of squares

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MULTI-VIEW STEREO CAMERA CALIBRATION USING LASER TARGETS FOR MEASUREMENT OF LONG OBJECTS

  • Yoshimi, Takashi;Yoshimura, Takaharu;Takase, Ryuichi;Kawai, Yoshihiro;Tomita, Fumiaki
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2009.01a
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    • pp.566-571
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    • 2009
  • A calibration method for multiple sets of stereo vision cameras is proposed. To measure the three-dimensional shape of a very long object, measuring the object at different viewpoints and registration of the data are necessary. In this study, two lasers beams generate two strings of calibration targets, which form straight lines in the world coordinate system. An evaluation function is defined to calculate the sum of the squares of the distances between each transformed target and the fitted line representing the laser beam to each target, and the distances between points appearing in the data sets of two adjacent viewpoints. The calculation process for the approximation method based on data linearity is presented. The experimental results show the effectiveness of the method.

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Application of Surrogate Modeling to Design of A Compressor Blade to Optimize Stacking and Thickness

  • Samad, Abdus;Kim, Kwang-Yong
    • International Journal of Fluid Machinery and Systems
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    • v.2 no.1
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    • pp.1-12
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    • 2009
  • Surrogate modeling is applied to a compressor blade shape optimization to modify its stacking line and thickness to enhance adiabatic efficiency and total pressure ratio. Six design variables are defined by parametric curves and three objectives; efficiency, total pressure and a combined objective of efficiency and total pressure are considered to enhance the performance of compressor blade. Latin hypercube sampling of design of experiments is used to generate 55 designs within design space constituted by the lower and upper limits of variables. Optimum designs are found by formulating a PRESS (predicted error sum of squares) based averaging (PBA) surrogate model with the help of a gradient based optimization algorithm. The optimum designs using the current variables show that, to optimize the performance of turbomachinery blade, the adiabatic efficiency objective is improved substantially while total pressure ratio objective is increased a very small amount. The multi-objective optimization shows that the efficiency can be increased with the less compensation of total pressure reduction or both objectives can be increased simultaneously.

Studies on the Computerization of Design of Experiments(II) (실험계획법의 전산화에 관한 연구(II))

  • Jeong, Su-Il
    • Journal of Korean Society for Quality Management
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    • v.19 no.1
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    • pp.163-169
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    • 1991
  • This paper studies computer programming for Two-Way Layout with Multiple Observations - Fixed Model using the subroutines of the former paper. The following items are considered in the PC computer programming: * significant digits in the computation of Sum of Squares * containing the necessary F-distribution values in the program * including the necessary estimation after the Analysis of Variance * following the rules of KS A 0021 in rounding off digits etc. The running results of Analysis of Variation Table and Estimations of a fictitious example is added with the parts of PC program. It should be mentioned that the main purpose of this paper is in the arousing of the discussion about significant digits concept in the PC computer programming for various kinds of Statistical Methods.

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Design of sliding-type base isolators by the concept of equivalent damping

  • Yang, Yeong-Bin;Chen, Yi-Chang
    • Structural Engineering and Mechanics
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    • v.8 no.3
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    • pp.299-310
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    • 1999
  • One problem with base isolators of the sliding type is that their dynamic responses are nonlinear, which cannot be solved in an easy manner, as distinction must be made between the sliding and non-sliding phases. The lack of a simple method for analyzing structures installed with base isolators is one of the obstacles encountered in application of these devices. As an initial effort toward simplification of the analysis procedure for base-isolated structures, an approach will be proposed in this paper for computing the equivalent damping for the resilient-friction base isolators (R-FBI), based on the condition that the sum of the least squares of errors of the linearized response with reference to the original nonlinear one is a minimum. With the aid of equivalent damping, the original nonlinear system can be replaced by a linear one, which can then be solved by methods readily available. In this paper, equivalent damping curves are established for all ranges of the parameters that characterize the R-FBI for some design spectra.

A method to reduce the order of high-order LTI system via Walsh function. (월쉬 함수에 의한 선형 시불변 고차 시스템의 모델 축소 방법)

  • Ahn, Doo-Soo;Park, Jun-Hoon;Kim, Min-Hyung;Lim, Yun-Sic
    • Proceedings of the KIEE Conference
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    • 1992.07a
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    • pp.302-304
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    • 1992
  • This paper presents the method to reduce the order of high-order linear time invarient system via Walsh function. It is based on the matrix pseudoinverse algorithm to determine the parameters of the reduced model which minimize the sum of the squares of the errors between the reponses of the high-order system and a reduced model to a given input. This proposed method can be conveniently implemented with a computer. They will be very useful in the study of control system via Walsh function.

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Analysis of periodontal data using mixed effects models

  • Cho, Young Il;Kim, Hae-Young
    • Journal of Periodontal and Implant Science
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    • v.45 no.1
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    • pp.2-7
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    • 2015
  • A fundamental problem in analyzing complex multilevel-structured periodontal data is the violation of independency among the observations, which is an assumption in traditional statistical models (e.g., analysis of variance and ordinary least squares regression). In many cases, aggregation (i.e., mean or sum scores) has been employed to overcome this problem. However, the aggregation approach still exhibits certain limitations, such as a loss of power and detailed information, no cross-level relationship analysis, and the potential for creating an ecological fallacy. In order to handle multilevel-structured data appropriately, mixed effects models have been introduced and employed in dental research using periodontal data. The use of mixed effects models might account for the potential bias due to the violation of the independency assumption as well as provide accurate estimates.

Estimation of Coverage Growth Functions

  • Park, Joong-Yang;Lee, Gye-Min;Kim, Seo-Yeong
    • Communications for Statistical Applications and Methods
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    • v.18 no.5
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    • pp.667-674
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    • 2011
  • A recent trend in software reliability engineering accounts for the coverage growth behavior during testing. The coverage growth function (representing the coverage growth behavior) has become an essential component of software reliability models. Application of a coverage growth function requires the estimation of the coverage growth function. This paper considers the problem of estimating the coverage growth function. The existing maximum likelihood method is reviewed and corrected. A method of minimizing the sum of squares of the standardized prediction error is proposed for situations where the maximum likelihood method is not applicable.

Simultaneous measurement of in-plane and out-of-plane displacement using holographic interferometry (홀로그래피 간섭계를 이용한 횡변위와 종변위의 동시 측정)

  • 김달우;임부빈
    • Korean Journal of Optics and Photonics
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    • v.8 no.4
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    • pp.267-276
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    • 1997
  • We set up a four-wave holographic interferometer using a symmetric dual-beam illumination which is to measure in-plane and out-of-plane displacement simultaneously. In order to acquire the displacement phase map we applied the phase-shifting method and removed the noise of the phase map with least-squares fitting. In this approach the access to information relative to both the difference and sum of phases existing in the two arms of four-wave holographic interferometer was allowed. As a result, in-plane and out-of-plane displacement was measured to the accuracy of λ/40 and λ/100, respectively at λ=632.8nm

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Studies on the Computerization of Design of Experiments(I) (실험계획법의 전산화에 관한 연구(I))

  • Jeong, Su-Il
    • Journal of Korean Society for Quality Management
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    • v.16 no.1
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    • pp.23-31
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    • 1988
  • This paper studies the handling of significant digits and rounding off methods in domestic industries. ANOVA tables made by six well-known big companies are selected and analyzed. There exist various mistakes in handling of significant digits and rounding off methods such as: * too many significant digits in the Sum of Squares values in comparison to the original data * too many significant digits in the variance ratio in comparison to the F table values. * no consistancy in the number of significant digits * no consideration for the number of significant digits in computations * ignoring the KS A 0021 in rounding off methods etc. Such mistakes are caused from the characteristics of the personal computers rather than the misunderstandings about the significant digits conception. A subroutine is developed for PC in BASIC language to help the handling of significant digits and rounding off.

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Development of a Robust Design Process Using a Robustness Index (강건성 지수를 이용한 강건설계 기법의 개발)

  • Hwang, Kwang-Hyeon;Park, Gyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.8
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    • pp.1426-1435
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    • 2003
  • Design goal is to find the one that has the highest probability of success and the smallest variation. A robustness index has been proposed to satisfy these conditions. The two-step optimization process of the target problem requires a scaling factor. The search process of a scaling factor is replaced with the making of the decoupled design between the mean and the standard deviation. The decoupled design matrix is formed from the sensitivity or the sum of squares. After establishing the design matrix, the robust design process has a new three-step one. The first is ″reduce variability,″ the second is ″make the candidate designs that satisfy constraints and move the mean on the target,″ and the final is ″select the best robust design using the proposed robustness index.″ The robust design process is verified by three examples and the results using the robustness index are compared with those of other indices.