• 제목/요약/키워드: Non-Cartesian

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고해상도 MRA 시 방사형 비직각좌표계 k-space 주사방식의 유용성 분석 (Usefulness analysis of radial non-cartesian trajectory in the high-resolution MRA)

  • 이호범;최관우;손순룡
    • 한국산학기술학회논문지
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    • 제14권12호
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    • pp.6284-6289
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    • 2013
  • 본 연구는 k-space 주사방식을 새롭게 적용하여 noise의 영향과 방향성을 분석함으로써 영상의 신호강도가 낮은 뇌혈관 질환의 고해상도 MRI 검사 시 noise의 영향을 최소화 하여 진단적 가치가 높은 영상을 획득하고자 하였다. 연구방법은 2013년 6월부터 동년7월까지 뇌혈관 질환의 조기 진단을 위해 고해상도 MRI 검사를 받은 38명을 대상으로 k-space 주사방식에 따른 noise의 영향을 평가하기 위해 기존의 선형 직각좌표계 주사방식과 새로운 방사형 직각좌표계 주사방식을 각각 적용한 후, 획득한 영상에서 내경동맥 내강의 신호강도와 noise를 비교 평가하였다. 연구결과, k-space 주사방식에 따른 내경동맥 내강의 신호강도는 방사형 비직각좌표계 주사방식이 기존의 선형 직각좌표계 주사방식 보다 43.32% 낮았고, noise 역시 50.19% 가량 낮게 나타났다. 이는 방사형 비직각좌표계 주사방식이 선형 직각좌표계 주사방식보다 noise가 적게 발생하며, 영상의 신호강도가 낮은 고해상도 MRI에서는 방사형 비직각좌표계 주사방식이 더 유용하다는 것을 의미한다. 그러므로 영상의 신호강도가 낮은 고해상도 뇌혈관 MRI 검사 시 방사형 비직각좌표계 k-space 주사방식을 이용한다면 noise의 영향을 최소화하여 양질의 영상을 획득할 수 있으리라 사료된다.

CANCELLATION OF LOCAL SPHERES WITH RESPECT TO WEDGE AND CARTESIAN PRODUCT

  • Hans Scheerer;Lee, Hee-Jin
    • 대한수학회지
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    • 제33권1호
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    • pp.15-23
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    • 1996
  • Let C be a category of (pointed) spaces. For $X, Y \in C$ we denote the wedge (or one point union) by $X \vee Y$ and the cartesian product by $X \times Y$. Let $Z \in C$; we say that Z cancels with respect to wedge (resp. cartesian product) and C, if for all $X, Y \in C$ the existence of a homotopy equivalence $X \vee Z \to Y \vee Z$ implies the existence of a homotopy equivalence $X \to Y$ (resp. for cartesian product). If this does not hold, we say that there is a non-cancellation phenomenon involving Z (and C).

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직교 좌표계에 의한 정현형 수평 곡선보의 자유진동 해석 (Free Vibration Analysis of Horizontally Sinusoidal Curved Beams in Cartesian Coordinates)

  • Lee, Byoung-Koo;Lee, Tae-Eun;Kang, Hee-Jong;Kim, Kweon-Sik
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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    • pp.11-16
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    • 2002
  • The differential equations governing free vibrations of the elastic, horizontally curved beams with unsymmetric axis are derived in Cartesian coordinates rather than in polar coordinates, in which the effect of torsional inertia is included. Frequencies are computed numerically for the sinusoidal curved beams with both clamped ends and both hinged ends. Comparisons of natural frequencies between this study and SAP 2000 are made to validate theories and numerical methods developed herein. The convergent efficiency is highly improved under the newly derived differential equations in Cartesian coordinates. The lowest four natural frequency parameters are reported, with and without torsional inertia, as functions of three non-dimensional system parameters: the horizontal rise to chord length ratio, the span length to chord length ratio, and the slenderness ratio.

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GRAPHS AND NON-NORMAL OPERATOR(I)

  • Park, Young-Sik
    • East Asian mathematical journal
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    • 제16권1호
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    • pp.147-159
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    • 2000
  • In this paper, we investigate the properties of non-normal(convexoid, hyponormal) adjacency operators for a graph under two operations, tensor product and Cartesian one.

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선회하는 2차원 유연 날개의 유체-구조 상호작용 모사 (NUMERICAL SIMULATION ON FLUID-STRUCTURE INTERACTION OF A TWO-DIMENSIONAL ORBITING FLEXIBLE FOIL)

  • 신상묵
    • 한국전산유체공학회지
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    • 제12권2호
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    • pp.37-45
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    • 2007
  • The hybrid Cartesian/immersed boundary method is applied to simulate fluid-structure interaction of a two-dimensional orbiting flexible foil. The elastic deformation of the flexible foil is modelled based on the dynamic equation of a thin-plate. At each time step, the locations and velocities of the Lagrangian control points on the flexible foil are used to reconstruct the boundary conditions for the flow solver based on the hybrid staggered/non-staggered grid. To test the developed code, the flow fields around a flapping elliptical wing are calculated. The time history of the vertical force component and the evolution of the vorticity fields are compared with recent other computations and good agreement is achieved. For the orbiting flexible foil, the vorticity fields are compared with those of the case without the deformation. The combined effects of the angle of attack and the orbit on the deformation are investigated. The grid independency study is carried out for the computed time history of the deformation at the tip.

삼차원 직교 격자 생성을 위한 단면 커브를 이용한 옥트리 생성과 셀 절단 알고리듬 (Octree Generation and Clipping Algorithm using Section Curves for Three Dimensional Cartesian Grid Generation)

  • 김동훈;신하용;박세연;이일랑;권장혁;권오준
    • 한국CDE학회논문집
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    • 제13권6호
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    • pp.450-458
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    • 2008
  • Recently, Cartesian grid approach has been popular to generate grid meshes for complex geometries in CFD (Computational Fluid Dynamics) because it is based on the non-body-fitted technique. This paper presents a method of an octree generation and boundary cell clipping using section curves for fast octree generation and elimination of redundant intersections between boundary cells and triangles from 3D triangular mesh. The proposed octree generation method uses 2D Scan-Converting line algorithm, and the clipping is done by parameterization of vertices from section curves. Experimental results provide octree generation time as well as Cut-cell clipping time of several models. The result shows that the proposed octree generation is fast and has linear relationship between grid generation time and the number of cut-cells.

Double Domination in the Cartesian and Tensor Products of Graphs

  • CUIVILLAS, ARNEL MARINO;CANOY, SERGIO R. JR.
    • Kyungpook Mathematical Journal
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    • 제55권2호
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    • pp.279-287
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    • 2015
  • A subset S of V (G), where G is a graph without isolated vertices, is a double dominating set of G if for each $x{{\in}}V(G)$, ${\mid}N_G[x]{\cap}S{\mid}{\geq}2$. This paper, shows that any positive integers a, b and n with $2{\leq}a<b$, $b{\geq}2a$ and $n{\geq}b+2a-2$, can be realized as domination number, double domination number and order, respectively. It also characterize the double dominating sets in the Cartesian and tensor products of two graphs and determine sharp bounds for the double domination numbers of these graphs. In particular, it show that if G and H are any connected non-trivial graphs of orders n and m respectively, then ${\gamma}_{{\times}2}(G{\square}H){\leq}min\{m{\gamma}_2(G),n{\gamma}_2(H)\}$, where ${\gamma}_2$, is the 2-domination parameter.

센서리스 협동로봇의 직관적인 교시를 위한 직교공간 직접교시 (Cartesian Space Direct Teaching for Intuitive Teaching of a Sensorless Collaborative Robot)

  • 안국현;송재복
    • 로봇학회논문지
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    • 제14권4호
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    • pp.311-317
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    • 2019
  • Direct teaching is an essential function for collaborative robots for easy use by non-experts. For most robots, direct teaching is implemented only in joint space because the realization of Cartesian space direct teaching, in which the orientation of the end-effector is fixed while teaching, requires a measurement of the end-effector force. Thus, it is limited to the robots that are equipped with an expensive force/torque sensor. This study presents a Cartesian space direct teaching method for torque-controlled collaborative robots without either a force/torque sensor or joint torque sensors. The force exerted to the end-effector is obtained from the external torque which is estimated by the disturbance observer-based approach with the friction model. The friction model and the estimated end-effector force were experimentally verified using the robot equipped with joint torque sensors in order to compare the proposed sensorless approach with the method using torque sensors.

일반곡률좌표계 운동량방정식의 종속변수 선정에 관한 연구 (A Study on the Choice of Dependent Variables of Momentum Equations in the General Curvilinear Coordinate)

  • 김탁수;김원갑;김철수;최영돈
    • 대한기계학회논문집B
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    • 제25권11호
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    • pp.1500-1508
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    • 2001
  • This paper represents the importance of dependent variables in non-orthogonal curvilinear coordinates just as the importance of those variables of convective scheme and turbulence model in computational fluid dynamics. Each of Cartesian, physical covariant and physical contravariant velocity components was tested as the dependent variables of momentum equations in the staggered grid system. In the flow past a circular cylinder, the results were computed to use each of three variables and compared to experimental data. In the skewed driven cavity flow, the results were computed to check the grid dependency of the variables. The results used in Cartesian and physical contravariant components of velocity in cylinder flow show the nearly same accuracy. In the case of Cartesian and contravariant component, the same number of vortex was predicted in the skewed driven cavity flow. Vortex strength of Cartesian component case has about 30% lower value than that of the other two cases.

HCIB 법을 이용한 변형하는 평판 주위의 3차원 유동해석 (COMPUTATIONS ON FLOW FIELDS AROUND A 3D FLAPPING PLATE USING THE HYBRID CARTESIAN/IMMERSED BOUNDARY METHOD)

  • 신상묵
    • 한국전산유체공학회지
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    • 제12권1호
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    • pp.1-8
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    • 2007
  • A code is developed using the hybrid Cartesian/immersed boundary method and it is applied to simulate flows around a three-dimensional deforming body. A new criterion is suggested to distribute the immersed boundary nodes based on edges crossing a body boundary. Velocities are reconstructed at the immersed boundary nodes using the interpolation along a local normal line to the boundary. Reconstruction of the pressure at the immersed boundary node is avoided using the hybrid staggered/non-staggered grid method. The developed code is validated through comparisons with other experimental and numerical results for the velocity profiles around a circular cylinder under the forced in-line oscillation and the pressure coefficient distribution on a sphere. The code is applied to simulate the flow fields around a plate whose tail is periodically flapping under a translation. The effects of the velocity and acceleration due to the deformation on the periodic shedding of pairs of tip vortices are investigated.