• Title/Summary/Keyword: compact matrix

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A Parallel-Architecture Processor Design for the Fast Multiplication of Homogeneous Transformation Matrices (Homogeneous Transformation Matrix의 곱셈을 위한 병렬구조 프로세서의 설계)

  • Kwon Do-All;Chung Tae-Sang
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.12
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    • pp.723-731
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    • 2005
  • The $4{\times}4$ homogeneous transformation matrix is a compact representation of orientation and position of an object in robotics and computer graphics. A coordinate transformation is accomplished through the successive multiplications of homogeneous matrices, each of which represents the orientation and position of each corresponding link. Thus, for real time control applications in robotics or animation in computer graphics, the fast multiplication of homogeneous matrices is quite demanding. In this paper, a parallel-architecture vector processor is designed for this purpose. The processor has several key features. For the accuracy of computation for real application, the operands of the processors are floating point numbers based on the IEEE Standard 754. For the parallelism and reduction of hardware redundancy, the processor takes column vectors of homogeneous matrices as multiplication unit. To further improve the throughput, the processor structure and its control is based on a pipe-lined structure. Since the designed processor can be used as a special purpose coprocessor in robotics and computer graphics, additionally to special matrix/matrix or matrix/vector multiplication, several other useful instructions for various transformation algorithms are included for wide application of the new design. The suggested instruction set will serve as standard in future processor design for Robotics and Computer Graphics. The design is verified using FPGA implementation. Also a comparative performance improvement of the proposed design is studied compared to a uni-processor approach for possibilities of its real time application.

An Exploratory Study on Classification Schemes for Building Order Review/Release DSS (주문 검토 및 투입 모형의 분류체계 : DSS화를 위한 탐색적 연구)

  • Min, Dong-Kwon
    • Journal of Korea Society of Industrial Information Systems
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    • v.12 no.4
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    • pp.41-54
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    • 2007
  • To make most out of Order Review/Release(ORR) models, they are to be analyzed and classified according to their prospective users' requirements. To this end, we discuss ORR functions and so-called "ORR paradox", and propose an ORR model classification scheme named "COMPACT(COMplexity-imPACT) Matrix". Under the scheme, the complexity and impact levels of each ORR model are rated one after another in order to position it across the matrix. We explore the process and present the results, insisting that a DSS should suggest ORR models to its users on the complexity-impact basis.

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Axiomatic Approach for Design Appraisement and Development DVD (I) (DVD 설계평가 및 개선을 위한 공리적 접근 (I))

  • Moon, Yong-Rak;Cha, Sung-Woon;Kim, Young-Kyu
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.5 s.98
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    • pp.124-131
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    • 1999
  • DVD(Digital Versatile Disk) is the data storage media devised to make high storage density and high speed data input/output possible. For example, a whole length movie can be stored in a disk as large as a CD(Compact Disk). Therefore higher rotational speed and better accuracy in optical pick-up are required compared with the existing optical storage device. Without these operational functional requirements being satisfied DVD will lose its place as the high capacity storage device. This paper evaluated whether the currently developed DVD satisfies the requirements and provides improved methods with the Axiomatic Approach which is superb in evaluating and designing newly concepted designs.

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Single Phase Matrix Converter with Novel Commutation Strategy (새로운 커뮤테이션 기법을 갖는 단상 매트릭스 컨버터)

  • Choi, Nam-Sup;Li, Yulong;Han, Byung-Moon;Nho, Eui-Cheol;Ko, Jong-Sun
    • Proceedings of the KIPE Conference
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    • 2007.07a
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    • pp.129-131
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    • 2007
  • In this paper, a single phase matrix converter circuit with novel commutation technique is proposed. With commercial IGBT modules, the proposed converter is quite compact in structure and easy to build. The applied commutation strategy introduces a simple RC circuit as commutation aid without need for sensing information, leading to stable and reliable operation. The modulation method is explained; the detailed commutation procedure is illustrated. Finally, the simulation results show the validity and verification of the proposed single phase matrix converter.

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A Study on the Stress Ratio effect of Metal Matrix Composites on Fatigue Crack Growth Behavior (금속기복합재료의 피로균열성장거동에 대한 응력비 영향에 관한 연구)

  • Choi, Yong-Bum;Huh, Sun-Chul;Yoon, Han-Ki;Park, Won-Jo
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2002.05a
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    • pp.155-160
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    • 2002
  • Metal matrix composites had generated a lot of interest in recent times because of significant in specific properties. It was also highlighted as the materials of frontier industry because strength, heat-resistant, corrosion-resistant, wear-resistant were superiored. In this study the strength properties of $Al_{18}B_4O_{33}/AC4CH$ were represented mixing the binder of $Al_2O_3$ and $TiO_2$. It was also fabricated by squeeze casting. $Al_{18}B_4O_{33}/AC4CH$ was fabricated at the melt temperature of $760^{\circ}C$ the perform temperature of $700^{\circ}C$ and mold temperature of $200^{\circ}C$ under the pressure of 83.4MPa and observed SEM. Fatigue crack growth rate tests on compact tension specimen(half-size) of thickness 12.5mm were conducted by using sinusoidal waveform. Compact tension specimens(half-size) were used and fatigue crack growth rate da/dN and stress intensity factor range ${\Delta}K$ were analyzed concerning to the R value of 0.1 and 0.05. In order to find out the value of ${\Delta}K$, load amplitude constant method was applied by the standard fatigue testing method describes in ASTM E647-95a. As the results of this study, Fatigue crack growth rate increased with in creasing the load ratio, Consequently, At equivalent stress intensity factors, the fatigue crack growth rates in MMC were faster than those of AC4CH alloy. then the fatigue life and the fatigue crack growth rate was investigated using scanning election microscopy(SEM)

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A Feasibility Study on the Surface Hardening of Sintered Iron Nanopowder by Plasma Ion Nitriding (플라즈마 이온질화에 의한 Fe 나노분말소결체의 표면경화 가능성 연구)

  • Yun, Joon-Chul;Lee, Jai-Sung
    • Journal of Powder Materials
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    • v.19 no.1
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    • pp.13-18
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    • 2012
  • This study has been performed on the full density sintering of Fe nanopowder and the surface hardening by plasma ion nitriding. The Fe sintered part was fabricated by pressureless sintering of the Fe nanopowder at $700^{\circ}C$ in which the nanopowder agglomerates were controlled to have 0.5-5 ${\mu}m$ sized agglomerates with 150 nm Fe nanopowders. The green compact with 46% theoretical density(T.D.) showed a homogeneous microstructure with fine pores below 1 ${\mu}m$. After sintering, the powder compact underwent full densification process with above 98%T.D. and uniform nanoscale microstructure. This enhanced sintering is thought to be basically due to the homogeneous microstructure in the green compact in which the large pores are removed by wet-milling. Plasma ion nitriding of the sintered part resulted in the formation of ${\gamma}$'-$Fe_4N$ equilibrium phase with about 12 ${\mu}m$ thickness, leading to the surface hardening of the sintered Fe part. The surface hardness was remarkably increased from 176 $H_v$ for the matrix to 365 $H_v$.

A microstrip folded compact wideband band-pass filter with wide upper stopband

  • Hoseini, Seyyed Mojtaba Seyyed Najjar;Zaker, Reza;Monfaredi, Khalil
    • ETRI Journal
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    • v.43 no.6
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    • pp.957-965
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    • 2021
  • A miniaturized wideband band-pass filter with a 3-dB fractional bandwidth of 109.3% (1.53 GHz to 5.22 GHz), high out-of-band attenuation greater than 25 dB, and wide upper stopband up to 14 GHz is proposed. The design consists of a dual-composite right/left handed resonator, embedded open-circuited stub, and a pair of quarter-wavelength short-circuited stubs. These elements are coupled in the near distance to form a miniature filter with a compact occupied area of 0.21 λg×0.19 λg (≈ 0.013 cm2). The optimized filter has multitransmission poles in the passband, substantially improving the return loss and insertion loss characteristics. The behavior of the passband and stopband is verified against the results of a lumped element model and matrix analysis with a full-wave moment-based analysis and actual measurements. The results of this verification and a comparison with the performance of filters in other references indicate that the proposed filter is very efficient and applicable to compact microwave systems.

Characteristics of Magnetic Resonance-Based Attenuation Correction Map on Phantom Study in Positron Emission Tomography/Magnetic Resonance Imaging System

  • Hong, Cheolpyo
    • Progress in Medical Physics
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    • v.31 no.4
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    • pp.189-193
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    • 2020
  • An MR-based attenuation correction (MRAC) map plays an important role in quantitative positron emission tomography (PET) image evaluation in PET/magnetic resonance imaging (MRI) systems. However, the MRAC map is affected by the magnetic field inhomogeneity of MRIs. This study aims to evaluate the characteristics of MRAC maps of physical phantoms on PET/MRI images. Phantom measurements were performed using the Siemens Biograph mMR. The modular type physical phantoms that provide assembly versatility for phantom construction were scanned in a four-channel Body Matrix coil. The MRAC map was generated using the two-point Dixon-based segmentation method for whole-body imaging. The modular phantoms were scanned in compact and non-compact assembly configurations. In addition, the phantoms were scanned repeatedly to generate MRAC maps. The acquired MRAC maps show differently assigned values for void areas. An incorrect assignment of a void area was shown on a locally compact space between phantoms. The assigned MRAC values were distorted using a wide field-of-view (FOV). The MRAC values also differed after repeated scans. However, the erroneous MRAC values appeared outside of phantom, except for a large FOV. The MRAC map of the phantom was affected by phantom configuration and the number of scans. A quantitative study using a phantom in a PET/MRI system should be performed after evaluation of the MRAC map characteristics.

AN IMPLICIT NUMERICAL SCHEME FOR SOLUTION OF INCOMPRESSIBLE NAVIER-STOKES EQUATIONS ON CURVILINEAR GRIDS

  • Fayyaz, Hassan;Shah, Abdullah
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.3
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    • pp.881-898
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    • 2018
  • This article deals with implementation of a high-order finite difference scheme for numerical solution of the incompressible Navier-Stokes equations on curvilinear grids. The numerical scheme is based on pseudo-compressibility approach. A fifth-order upwind compact scheme is used to approximate the inviscid fluxes while the discretization of metric and viscous terms is accomplished using sixth-order central compact scheme. An implicit Euler method is used for discretization of the pseudo-time derivative to obtain the steady-state solution. The resulting block tridiagonal matrix system is solved by approximate factorization based alternating direction implicit scheme (AF-ADI) which consists of an alternate sweep in each direction for every pseudo-time step. The convergence and efficiency of the method are evaluated by solving some 2D benchmark problems. Finally, computed results are compared with numerical results in the literature and a good agreement is observed.

Development of Optimized Compact Finite Difference Schemes (최적화된 집적 유한 차분법을 위한 내재적 시간전진 기법의 개발)

  • Park N. S.;Kim J. W.;Lee D. J.
    • 한국전산유체공학회:학술대회논문집
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    • 1998.11a
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    • pp.7-12
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    • 1998
  • Optimized high-order compact(OHOC) schemes were proposed, which have high spatial order of truncation and resolution to simulate the aeroacoustic problems due to unsteady compressible flows. Generally, numerical schemes are categorized explicit or implicit by time-marching method. In this research, OHOC differences which were developed with explicit time-marching method is used to have implicit formulation and the implicit OHOC differences result in block hepta-diagonal matrix. This paper presents the comparisons between the explicit and implicit OHOC schemes with a second order accuracy of time in the 1-d linear wave convection problem, and between the explicit OHOC scheme of 4th-order accuracy in time and the implicit OHOC scheme of 1st-order accuracy in tine for the 1-d nonlinear wave convection problem. With these comparisons, the characteristics of implicit OHOC scheme are shown in the point of CFL number.

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