• Title/Summary/Keyword: even odd decomposition

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Kernel Analysis of Weighted Linear Interpolation Based on Even-Odd Decomposition (짝수 홀수 분해 기반의 가중 선형 보간법을 위한 커널 분석)

  • Oh, Eun-ju;Yoo, Hoon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.22 no.11
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    • pp.1455-1461
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    • 2018
  • This paper presents a kernel analysis of weighted linear interpolation based on even-odd decomposition (EOD). The EOD method has advantages in that it provides low-complexity and improved image quality than the CCI method. However, since the kernel of EOD has not studied before and its analysis has not been addressed yet, this paper proposes the kernel function and its analysis. The kernel function is divided into odd and even terms. And then, the kernel is accomplished by summing the two terms. The proposed kernel is adjustable by a parameter. The parameter influences efficiency in the EOD based WLI process. Also, the kernel shapes are proposed by adjusting the parameter. In addition, the discussion with respect to the parameter is given to understand the parameter. A preliminary experiment on the kernel shape is presented to understand the adjustable parameter and corresponding kernel.

Efficient Modifications of Cubic Convolution Interpolation Based on Even-Odd Decomposition (짝수 홀수 분해법에 기초한 CCI의 효율적인 변형)

  • Cho, Hyun-Ji;Yoo, Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.5
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    • pp.690-695
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    • 2014
  • This paper presents a modified CCI image interpolation method based on the even-odd decomposition (EOD). The CCI method is a well-known technique to interpolate images. Although the method provides better image quality than the linear interpolation, its complexity still is a problem. To remedy the problem, this paper introduces analysis on the EOD decomposition of CCI and then proposes a reduced CCI interpolation in terms of complexity, providing better image quality in terms of PSNR. To evaluate the proposed method, we conduct experiments and complexity comparison. The results indicate that our method do not only outperforms the existing methods by up to 43% in terms of MSE but also requires low-complexity with 37% less computing time than the CCI method.

Modification of Cubic Convolution Interpolation Based on Even-Odd Decomposition (홀수 짝수 분해법에 기초한 CCI 변형)

  • Cho, Hyun-Ji;Yoo, Hoon
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2013.11a
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    • pp.220-222
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    • 2013
  • 본 논문에서는 짝수 홀수 분해법 (even-odd decomposition; EOD) 에 기초한 CCI (cubic convolution interpolation) 변형된 방법을 제안한다. CCI는 선형보간법과 더불어 영상 보간에서 가장 많이 사용되는 보간법이다. 선형보간법과 비교하여 우수한 화질을 제공하지만, 복잡도 상당히 증가하는 문제점을 갖고 있다. 따라서, 본 논문은 최근 제안된 짝수 홀수 분해법을 활용하여 CCI에 대한 새로운 보간 방법을 제시한다. 제안된 방법의 성능을 검증하기 위해서 실험이 수행되었고 실험결과는 변형된 CCI 보간 방법이 복잡도를 줄임과 동시에 영상 화질을 개선할 수 있음을 보여 주었다.

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A review on teaching contents in area of Korean math textbook for first grade - even and odd number, composition and decomposition of numbers, calculation with carrying or with borrowing - (우리나라 초등학교 1학년 수학 교과서 <수와 연산> 영역의 지도 내용 검토 - 짝수.홀수, 수의 합성.분해, 받아올림.받아내림이 있는 계산 -)

  • Lee, Seung;Choi, Kyoung A;Park, Kyo Sik
    • Journal of the Korean School Mathematics Society
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    • v.18 no.1
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    • pp.1-14
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    • 2015
  • In this paper, in order to improve the teaching contents on even and odd number, composition and decomposition of numbers, and (1 digit)+(1 digit) with carrying, (10 and 1 digit)-(1 digit) with borrowing, the corresponding teaching contents in ${\ll}$Math 1-1${\gg}$, ${\ll}$Math 1-2${\gg}$ are critically reviewed. Implications obtained through this review can be summarized as follows. First, the current incomplete definition of even and odd numbers would need to be reconsidered, and the appropriateness of dealing with even and odd numbers in first grade would need to be reconsidered. Second, it is necessary to deal with composition and decomposition of numbers less than 20. That is, it need to be considered to compose (10 and 1 digit) with 10 and (1 digit) and to decompose (10 and 1 digit) into 10 and (1 digit) on the basis of the 10. And the sequence dealing with composition and decomposition of 10 before dealing with composition and decomposition of (10 and 1 digit) need to be considered. And it need to be considered that composing (10 and 1 digit) with (1 digit) and (1 digit) and decomposing (10 and 1 digit) into (1 digit) and (1 digit) are substantially useless. Third, it is necessary to eliminate the logical leap in the calculation process. That is, it need to be considered to use the composing (10 and 1 digit) with 10 and (1 digit) and decomposing (10 and 1 digit) into 10 and (1 digit) on the basis of the 10 to eliminate the leap which can be seen in the explanation of calculating (1 digit)+(1 digit) with carrying, (10 and 1 digit)-(1 digit) with borrowing. And it need to be considered to deal with the vertical format for calculation of (1 digit)+(1 digit) with carrying and (10 and 1 digit)-(1 digit) with borrowing in ${\ll}$Math 1-2${\gg}$, or it need to be considered not to deal with the vertical format for calculation of (1 digit)+(1 digit) with carrying and (10 and 1 digit)-(1 digit) with borrowing in ${\ll}$Math 1-2 workbook${\gg}$ for the consistency.

Synthesis and Optical Recording Properties of Coupled Hemicyanine Salts for DVD-R

  • Lee, Chul-Joo;Min, Kyung-Sun;Park, Ki-Hong
    • Journal of Photoscience
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    • v.10 no.2
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    • pp.209-214
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    • 2003
  • A series of coupled-hemicyanine dyes with alkylene spacer were successfully synthesized by a reaction of coupled aldehydes with corresponding salts, respectively. These coupled dyes had more excellent thermal properties (high decomposition temperature, stiff decomposition behavior) and higher molar absorption properties than an uncoupled dye. The coupled dyes with perchlorate anions showed the strongest exothermic decomposition while those with hexafluorophosphorate anions showed endothermic decomposition. As the coupling length (n=3, 4, 5, 6) increased, thermal properties decreased and dyes with even spacer was more thermally stable than dyes with odd spacer. Among several coupled dyes, C4-NP-ClO4 and C4-Cl-ClO4 exhibited the best recording properties with the lowest jitter value of 7.5∼9.5% in authoring disc.

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Basis Mode of Turbulent Flame in a Swirl-Stabilized Gas Turbine using LES and POD

  • Sung, Hong-Gye;Yang, Vigor
    • Journal of the Korean Society of Combustion
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    • v.6 no.2
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    • pp.29-35
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    • 2001
  • Unsteady numerical study has been conducted on combustion dynamics of a lean-premixed swirl-stabilized gas turbine swirl injector. A three-dimensional computation method utilizing the message passing interface (MPI) parallel architecture, large eddy simulation(LES), and proper orthogonal decomposition (POD) technique was applied. The unsteady turbulent flame dynamics are simulated so that the turbulent flame structure can be characterized in detail. It was observed that some fuel lumps escape from the primary combustion zone, and move downstream and consequently produce hot spots. Those flame dynamics coincides with experimental data. In addition, basis modes of the unsteady turbulent flame are characterized using proper orthogonal decomposition (POD) analysis. The flame structure based on odd basis modes is apparently larger than that of even ones. The flame structure can be extracted from the summation of the basis modes and eigenvectors at any moment.

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Vibration Analysis of Transformer DC bias Caused by HVDC based on EMD Reconstruction

  • Liu, Xingmou;Yang, Yongming;Huang, Yichen
    • Journal of Electrical Engineering and Technology
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    • v.13 no.2
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    • pp.781-789
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    • 2018
  • This paper proposes a new approach utilizing empirical mode decomposition (EMD) reconstruction to process vibration signals of a transformer under DC bias caused by high voltage direction transmission (HVDC), which is the potential cause of additional vibration and noise from transformer. Firstly, the Calculation Method is presented and a 3D model of transformer is simulated to analyze transformer deformation characteristic and the result indicate the main vibration is produced along axial direction of three core limbs. Vibration test system has been built and test points on the core and shell of transformer have been measured. Then, the signal reconstruction method for transformer vibration based on EMD is proposed. Through the EMD decomposition, the corrupted noise can be selectively reconstructed by the certain frequency IMFs and better vibration signals of transformer have been obtained. After EMD reconstruction, the vibrations are compared between transformer in normal work and with DC bias. When DC bias occurs, odd harmonics, vibration of core and shell, behave as a nonlinear increase and the even harmonics keep unchanged with DC current. Experiment results are provided to collaborate our theoretical analysis and to illustrate the effectiveness of the proposed EMD method.

Synthesis and Properties of Aromatic Poly(ether-ether-ester)s having Flexible Side Chain (유연한 곁사슬을 갖는 방향족 Poly(ether-ether-ester)의 합성 및 성질)

  • Bang, Moon-Soo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.11
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    • pp.3060-3065
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    • 2009
  • A series of wholly aromatic Poly(ether-ether-ester)s with flexible side chain was synthesized by direct polycondensation from ether linkaged triad diol and 2,5-dialkoxyterephthalic acid. The chemical structures and physical properties of these polymers were investigated by using $^1H$-NMR, FT-IR, DSC and TGA. As results of investigations, the inherent viscosities($\eta$inh) measured at $40^{\circ}C$ in 1,1,2,2-tetrachloroethane(TCE) were 0.45~0.86 dl/g and initial decomposition(Td) in TGA occurred at 378~418 $^{\circ}C$ in N2 gas. The majority of these polymers were soluble in organic solvents used in this experiments at elevated temperatures. Melting temperatures(Tm) decreased with increasing the length of the side chain and showed odd-even effects.

Free Surface Flow in a Trench Channel Using 3-D Finite Volume Method

  • Lee, Kil-Seong;Park, Ki-Doo;Oh, Jin-Ho
    • Journal of Korea Water Resources Association
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    • v.44 no.6
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    • pp.429-438
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    • 2011
  • In order to simulate a free surface flow in a trench channel, a three-dimensional incompressible unsteady Reynolds-averaged Navier-Stokes (RANS) equations are closed with the ${\kappa}-{\epsilon}$ model. The artificial compressibility (AC) method is used. Because the pressure fields can be coupled directly with the velocity fields, the incompressible Navier-Stokes (INS) equations can be solved for the unknown variables such as velocity components and pressure. The governing equations are discretized in a conservation form using a second order accurate finite volume method on non-staggered grids. In order to prevent the oscillatory behavior of computed solutions known as odd-even decoupling, an artificial dissipation using the flux-difference splitting upwind scheme is applied. To enhance the efficiency and robustness of the numerical algorithm, the implicit method of the Beam and Warming method is employed. The treatment of the free surface, so-called interface-tracking method, is proposed using the free surface evolution equation and the kinematic free surface boundary conditions at the free surface instead of the dynamic free surface boundary condition. AC method in this paper can be applied only to the hydrodynamic pressure using the decomposition into hydrostatic pressure and hydrodynamic pressure components. In this study, the boundary-fitted grids are used and advanced each time the free surface moved. The accuracy of our RANS solver is compared with the laboratory experimental and numerical data for a fully turbulent shallow-water trench flow. The algorithm yields practically identical velocity profiles that are in good overall agreement with the laboratory experimental measurement for the turbulent flow.