• Title/Summary/Keyword: Linear Transformation

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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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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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Some Remarks on the Likelihood Inference for the Ratios of Regression Coefficients in Linear Model

  • Kim, Yeong-Hwa;Yang, Wan-Yeon;Kim, M.J.;Park, C.G.
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.1
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    • pp.251-261
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    • 2004
  • The paper focuses primarily on the standard linear multiple regression model where the parameter of interest is a ratio of two regression coefficients. The general model includes the calibration model, the Fieller-Creasy problem, slope-ratio assays, parallel-line assays, and bioequivalence. We provide an orthogonal transformation (cf. Cox and Reid (1987)) of the original parameter vector. Also, we give some remarks on the difficulties associated with likelihood based confidence interval.

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A Piecewise Linear Transformation Method based on SPMF and Its Application to Linguistic Approximation (표준 매개변수 소속 함수에 기반을 둔 구간 선형 변환 방법과 언어 근사에의 응용)

  • Choe, Dae-Yeong
    • The KIPS Transactions:PartB
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    • v.8B no.4
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    • pp.351-356
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    • 2001
  • 표준 매개변수 소속 함수(SPMF)에 기반을 둔 구간 선형 변환 방법(PLTM)을 제안한다. 이는 구간 선형 변환 방법을 사용해서 비 매개변수 소속 함수(NPMF)로 표현된 퍼지 집합이 매개변수 소속 함수(PMF)로 표현된 퍼지 집합으로 변환될 수 있다는 생각에서 유래되었다. 이 경우, 이들 매개변수들은 퍼지 집합의 구조를 결정하기 위한 특징점들 이라고 할 수 있다. 결과적으로 구간 선형 변환 방법은 비 매개변수 소속 함수를 매개변수 소속 함수로 변환해 줌으로써 비 매개변수 소속 함수에 기반을 둔 퍼지 시스템과 비교해 볼 때 퍼지 시스템이 상대적으로 빠르게 처리될 수 있게 한다. 한편, 표준 매개변수 소속 함수들의 전형적인 형태가 소개되고 분석된다. 끝으로, PLTM의 전형적인 응용을 제시하고 수치적인 예를 보여준다.

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A Study on Control of Mobile Cranes (이동 CRANE의 제어에 관한 연구)

  • Kim, Sang-Bong;Shin, Min-Saeng;Kim, Hwan-Seong;Jeong, Yong-Gil
    • Journal of the Korean Society for Precision Engineering
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    • v.8 no.2
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    • pp.47-56
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    • 1991
  • The specifications needed for the mobile cranes are summarized as the following : 1) there may be not occured the oscillation of the cargo at unloading point. 2)the required time from departure point to destination point may be as short as possible. 3) there may be not a collapse of cargo caused by the oscillation in the course that the crago is mobilling. In this paper, the linear fractional transformation method is adopted as a method in order to improve the above mentioned problems. A design method of servo system is developed by modifying Davison's method for the case that the homogeneous differential equations of reference input and disturbance are different types. The real time control of a mobile crane system is implemented by 16bits microcomputer with A/D and D/A converters to illustrate the application of the adopted method. The experimental results for the three types of the design methods; linear fractional transformation method, servo system design method and optimal control method are shown for the comparison.

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INTEGRAL KERNEL OPERATORS ON REGULAR GENERALIZED WHITE NOISE FUNCTIONS

  • Ji, Un-Cig
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.601-618
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    • 2000
  • Let (and $g^*$) be the space of regular test (and generalized, resp.) white noise functions. The integral kernel operators acting on and transformation groups of operators on are studied, and then every integral kernel operator acting on can be extended to continuous linear operator on $g^*$. The existence and uniqueness of solutions of Cauchy problems associated with certain integral kernel operators with intial data in $g^*$ are investigated.

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An Approach to a Formal Linearization toy Time-variant Nonlinear Systems using Polynomial Approximations

  • Komatsu, Kazuo;Takata, Hitoshi
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.52.2-52
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    • 2002
  • In this paper we consider an approach to a formal linearization for time-variant nonlinear systems. A time-variant nonlinear sysetm is assumed to be described by a time-variant nonlinear differential equation. For this system, we introduce a coordinate transformation function which is composed of the Chebyshev polynomials. Using Chebyshev expansion to the state variable and Laguerre expansion to the time variable, the time-variant nonlinear sysetm is transformed into the time-variant linear one with respect to the above transformation function. As an application, we synthesize a time-variant nonlinear observer. Numerical experiments are included to demonstrate the validity of...

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Tomographic Reconstruction of Asymmertic Liquid Spray from Multi-angular Scanning (다각주사법에 대한 비대칭 분무 구조의 토모그래피 재구성)

  • 이충훈;정석호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.1
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    • pp.177-186
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    • 1996
  • A convolution alogorithm combined with Fourier transformation is applied to the tomographic reconstruction of the asymmetric spray structure to identify the local drop size and volume concentration. The line of sight intergrated data from Malvern particle analyzer with multiangular scanning form a basic information for the deconvolution. Linear interpolation is tested to obtain the effect of increasing number of scanning angles. This transformation method predicts well the structure of asymmetric spray. The tehnique can be extended to other line of sight combustion diagnostics.

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ON A SECOND ORDER PARALLEL VARIABLE TRANSFORMATION APPROACH

  • Pang, Li-Ping;Xia, Zun-Quan;Zhang, Li-Wei
    • Journal of applied mathematics & informatics
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    • v.11 no.1_2
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    • pp.201-213
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    • 2003
  • In this paper we present a second order PVT (parallel variable transformation) algorithm converging to second order stationary points for minimizing smooth functions, based on the first order PVT algorithm due to Fukushima (1998). The corresponding stopping criterion, descent condition and descent step for the second order PVT algorithm are given.

SUBORDINATION AND SUPERORDINATION FOR MEROMORPHIC FUNCTIONS ASSOCIATED WITH THE MULTIPLIER TRANSFORMATION

  • Cho, Nak-Eun;Kwon, Oh-Sang
    • East Asian mathematical journal
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    • v.27 no.3
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    • pp.299-308
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    • 2011
  • The purpose of the present paper is to obtain some subordination and superordination preserving properties involving a certain family of multiplier transformations for meromorphic functions in the open unit disk. The sandwich-type theorems for these linear operators are also considered.