• 제목/요약/키워드: Anisotropic tensor

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유방 MR 영상에서 비등방성 확산 방법과 구조텐서를 이용한 흉근 자동 분할 (Automatic Segmentation of the Pectoral Muscles in Breast MR Images using Anisotropic Diffusion Method and Structure Tensor)

  • 이명은;진연연;김수형;김종효
    • 한국정보과학회:학술대회논문집
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    • 한국정보과학회 2011년도 한국컴퓨터종합학술대회논문집 Vol.38 No.1(C)
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    • pp.401-404
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    • 2011
  • 본 논문에서는 비등방성 확산 방법과 구조텐서를 이용한 유방 MR 영상에서 흉근을 자동 분할하기 위한 방법을 제안한다. 제안하는 방법은 영상에 포함되어 있는 잡음을 제거하기 위하여 비등방성 확산 방법을 적용한 후 영상의 국부적인 기울기 정보를 잘 나타내는 구조텐서를 이용하여 영상 진단 및 영상 정합 시불필요한 흉근 부분을 자동으로 분할하고자 한다. 실험결과에서 확인 할 수 있듯이 정확한 분할의 결과는 향후 컴퓨터 보조 진단 시스템에 유용하게 사용할 수 있을 것으로 기대된다.

이방성 Plasma 내에서 운동중인 Source에 의한 전자계 (Electromagnetic Fields Due to Moving Sources in Anisotripic Plasma)

  • Kim, Young-Cho
    • 대한전자공학회논문지
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    • 제23권2호
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    • pp.149-169
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    • 1986
  • Fundamentals of electrodynamics of moving sources with constant velocity in an anisotripic plasma when the do magnetic field and the relative motion are oriented in arbitrary directions are presented. The well-known Minkowski's relations are generalized to accomodate anisotropic and dispersive media, and relativistic transformation formulae of constitutive parameters are derived and expanded into polynomials of the speed ratio \ulcornerto increase the utility of the formulae. The helmholtz wave equation of electromagnetic fields is generalized to the media charactrized by tensor parameters, and is solved in operator form. Also the solution of wave equation is expressed as a porcuct of the inverse of the wave operator matrix and the source function vector, and the inverse of the wave operator matrix is presented in an explicit form. The equations and formulae derived in this paper are all general, and can be reduced to known and proven results upon imposing the restriction called for by specific situations.

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유리섬유가 강화된 필름 삽입 사출품의 섬유배향 및 휨 (Fiber Orientation and Warpage of Film Insert Molded Parts with Glass Fiber Reinforced Substrate)

  • 김성륜;김형민;이두진;윤재륜;이성희
    • Composites Research
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    • 제25권4호
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    • pp.117-125
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    • 2012
  • 필름 삽입 사출 시편의 휨은 비대칭적인 잔류응력 분포에 기인한다. 비대칭적 잔류응력과 온도 분포는 삽입된 필름 표면의 수직방향으로 지연되는 열 전달에 의해 발생한다. 사출 공정조건 최적화를 통해 필름 삽입 사출 시편의 휨을 억제할 수 없었기 때문에, 필름 삽입 사출 시편의 휨을 최소화하기 위해서 유리 섬유가 강화된 복합재료를 기판으로 사용하였다. 유리 단섬유의 분포를 마이크로 CT 장비를 이용하여 평가하였다. 복합재료로 구성된 기판을 이용한 필름 삽입 사출 시편의 배향 텐서와 휨을 계산하기 위해서는 적절한 마이크로 역학, 이방적 열팽창계수 및 닫힌 어림법 모델이 선택되어야만 한다. 여섯 종류의 마이크로 역학모델, 세 종류의 열 팽창 계수 모델 및 다섯 종류의 닫힌 어림법 모델을 고려한 후, Mori-Tanaka 모델, Rosen and Hashin 모델 및 third orthotropic 닫힌 어림법 모델을 선택하였다. 수치적으로 계산된 섬유 배향 텐서와 휨에 관한 결과들은 실험결과와 잘 일치하였고, 유리 섬유의 보강효과가 필름 삽입 사출 복합 재료 시편의 휨에 미치는 영향을 파악하였다.

확산 텐서 영상에서 확산 경사자장의 방향수에 따른 잡음 분석 (The Noise Performance of Diffusion Tensor Image with Different Gradient Schemes)

  • 이영주;장용민;김용선
    • 대한의용생체공학회:의공학회지
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    • 제25권6호
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    • pp.439-445
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    • 2004
  • 확산 텐서 영상은 조직 내 물 분자의 확산 현상을 이용하는 영상기법으로 조직 구조의 비등방성 및 방향성에 대한 정보를 제공해준다. 근육이나 뇌백질과 같은 조직에서는 신경다발들이 일정한 방향성을 가지고 있어서 그 방향에 대해서 확산이 잘 일어난다. 이러한 확산을 비등방성이라 한다. 확산의 비등방성의 정도는 RA, VR 그리고 FA와 같은 지표를 이용하여 나타낸다. 본 연구에서는 다른 확산 경사자장의 수에 대하여 각각 FA 영상을 만들었다. FA영상에 관심영역을 설정하고 FA 평균값 및 FA의 표준편차를 계산하였다. 그 결과, 경사자장의 방향수가 증가함에 따라서 FA값 및 FA의 표준편차가 감소하였다. 또한 ADC 측정 오차에 대한 표준 오차도 확산 경사자장의 방향수가 증가함에 따라서 감소하였다. 결론적으로 경사자장의 방향수에 따라서 잡음의 영향이 다르며, 더 많은 방향수를 사용하는 것이 FA영상의 질을 향상시킨다는 것을 알 수 있었다. 그러나 영상획득 시간과 FA의 표준편차 등을 고려했을 때. 임상적으로 사용될 확산 텐서영상의 방향수는 23개 정도가 적당하다고 결론 내릴 수 있다.

Elastic Wave Propagation in Monoclinic System Due to Harmonic Line Load

  • Kim, Yong-Yun
    • The Journal of the Acoustical Society of Korea
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    • 제17권2E호
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    • pp.47-52
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    • 1998
  • An analysis of dynamic responses is carried out on monoclinic anisotropic system due to a buried harmonic line source. The load is in the form of a normal stress acting along an arbitrary axis on the plane of symmetry within the orthotropic materials: In case that the line load is acting along the symmetry axis normal to the plane of symmetry, plane wave equation is coupled with verital shear wave and longitudinal wave. However, if the line load is acting along an arbitrary axis normal to the plane of symmetry, plane wave equation is coupled with vertical shear wave, longitudinal wave and horizontal shear wave. We first considered the equation of motion in a reference coordinate system, where the line load is coincident with a symmetry axis of the orthotropic material. Then the equation of motion is transformed into one with respect to general coordinate system with azimuthal angle by using transformation tensor. Plane wave solutions of monoclinic systems are derived for infinite media. Finally complete solutions for the plane harmonic wave are obtained by calculating the inverse of the integral transforms, in which bulk wave poles are avoided by deforming the contour of the integration to the complex plane. Numerical results for examples of orthotropic material belonging to monoclinic symmetry are demonstrated.

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Blood Vessel Enhancement by Directed Diffusion

  • Intajag, S.;Tipsuwanporn, V.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.101-106
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    • 2004
  • In this paper, a blood vessel in an angiographic image, which plays an importance role in the diagnose diseases including in the eyes, brain and heart, is enhanced by using a directed diffusion technique. A fundamental component of the angiographic analysis is vessel segmentation that the proposed method provides a preprocessing of the image into a form suitable for human analysis, or more importantly, for machine analysis such the segmentation. Vessel enhancement is a challenging problem due to the complex nature of vascular trees and to imaging imperfections. Some parts of the inherent imperfections in angiography are the intensity inhomogeneity between the larger and smaller vessels, and another imperfection is the leakage of contrast agent into the background tissue that provides to low contrast between vessels and tissue. In the proposed scheme, the directed diffusion solves the problem by formulating a local geometric structure, which consists of direction and scale of the blood vessels. The diffusion process uses the local structure to enhance by a diffusivity tensor. The proposed algorithm can be applied to maintain sharpness and coherence-smooth the intra-regions into homogeneity better than traditional diffusion methods, which are Gaussian regulation and coherence enhancing diffusion.

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표면조도가 있는 난류경계층에서의 직접수치모사 (Direct numerical simulation of the turbulent boundary layer with rod-roughened wall)

  • 이승현;성형진
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2006년 제4회 한국유체공학학술대회 논문집
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    • pp.445-448
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    • 2006
  • The effects of surface roughness on a spatially-developing turbulent boundary layer (TBL) were investigated by performing direct numerical simulations of TBLs over rough and smooth walls. The Reynolds number based on the momentum thickness was varied in the range $Re_{\theta}=300{\sim}1400$. The roughness elements used were periodically arranged two-dimensional spanwise rods, and the roughness height was $k=1.5{\theta}_{in}$, which corresponds to $k/{\delta}=0.045{\sim}0.125$. To avoid generating a rough wall inflow, which is prohibitively difficult, a step change from smooth to rough was placed $80{\theta}_{in}$ downstream from the inlet. The spatially-developing characteristics of the rough-wall TBL were examined. Along the streamwise direction, the friction velocity approached a constant value and a self-preserving form of the turbulent stress was obtained. Introduction of the roughness elements affected the turbulent stress not only in the roughness sublayer but also in the outer layer. Despite the roughness-induced increase of the turbulent stress in the outer layer, the roughness had only a relatively small effect on the anisotropic Reynolds stress tensor in the outer layer. Inspection of the triple products of the velocity fluctuations revealed that introducing the roughness elements onto the smooth wall had a marked effect on vertical turbulent transport across the whole TBL. By contrast, good surface similarity in the outer layer was obtained for the third-order moments of the velocity fluctuations.

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Some properties of the Green's function of simplified elastodynamic problems

  • Sanchez-Sesma, Francisco J.;Rodriguez-Castellanos, Alejandro;Perez-Gavilan, Juan J.;Marengo-Mogollon, Humberto;Perez-Rocha, Luis E.;Luzon, Francisco
    • Earthquakes and Structures
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    • 제3권3_4호
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    • pp.507-518
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    • 2012
  • It is now widely accepted that the resulting displacement field within elastic, inhomogeneous, anisotropic solids subjected to equipartitioned, uniform illumination from uncorrelated sources, has intensities that follow diffusion-like equations. Typically, coda waves are invoked to illustrate this concept. These waves arrive later as a consequence of multiple scattering and appear at "the tail" (coda, in Latin) of seismograms and are usually considered an example of diffuse field. It has been demonstrated that the average correlations of motions within a diffuse field, in frequency domain, is proportional to the imaginary part of Green's function tensor. If only one station is available, the average autocorrelation is equal to the average squared amplitudes or the average power spectrum and this gives the Green's function at the source itself. Several works address this point from theoretical and experimental point of view. However, a complete and explicit analytical description is lacking. In this work we study analytically some properties of the Green's function, specifically the imaginary part of Green's function for 2D antiplane problems. This choice is guided by the fact that these scalar problems have a closed analytical solution (Kausel 2006). We assume the diffusiveness of the field and explore its analytical consequences.

평면이방성 Mohr-Coulomb 암석 강도의 중간주응력 의존성 (Intermediate Principal Stress Dependency in Strength of Transversely Isotropic Mohr-Coulomb Rock)

  • 이연규
    • 터널과지하공간
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    • 제23권5호
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    • pp.383-391
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    • 2013
  • 1960년대 후반 이래로 수행된 여러 진삼축압축시험 결과에 의하면 암석의 파괴강도는 중간주응력의 크기에 상당한 영향을 받는 것으로 나타나고 있다. 이러한 실험적 결과를 바탕으로 지금까지 중간주응력이 파괴에 미치는 영향을 고려할 수 있는 다양한 3차원 파괴조건식들이 제안되고 있다. 그러나 문헌에 보고된 대부분의 3차원 파괴기준식들은 암석의 진삼축압축 강도를 현상학적으로 재현하기 위한 목적으로 개발되었기 때문에 관련된 강도정수들의 역학적 의미가 명확하지 않다. 이 연구에서는 암석강도의 중간주응력 의존성이 암석 내에 포함된 연약면들의 공간적 분포특성과 관련성이 있다는 가능성을 확인하기 위해 평면이방성 암석모델을 대상으로 수치 진삼축압축시험을 수행하였다. 미소구조텐서 개념을 활용하여 이방성 Mohr-Coulomb 파괴기준식을 개발하였으며 이를 강도기준식으로 활용하고 임계면법을 적용하여 평면이방성 암석의 파괴강도 및 파괴면 방향의 중간주응력 의존성을 분석하였다. 분석결과는 암석에 포함된 미시적 연약면들의 주응력 방향에 대한 방향성이 암석강도의 중간주응력 의존성과 밀접한 관련성이 있음을 암시해준다.

Polarization Precession Effects for Shear Elastic Waves in Rotated Solids

  • Sarapuloff, Sergii A.
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2013년도 춘계학술대회 논문집
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    • pp.842-848
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    • 2013
  • Developments of Solid-State Gyroscopy during last decades are impressive and were based on thin-walled shell resonators like HRG or CRG made from fused quartz or leuko-sapphire. However, a number of design choices for inertial-grade gyroscopes, which can be used for high-g applications and for mass- or middle-scale production, is still very limited. So, considerations of fundamental physical effects in solids that can be used for development of a miniature, completely solid-state, and lower-cost sensor look urgent. There is a variety of different types of bulk acoustic (elastic) waves (BAW) in anisotropic solids. Shear waves with different variants of their polarization have to be studied especially carefully, because shear sounds in glasses and crystals are sensitive to a turn of the solid as a whole, and, so, they can be used for development of gyroscopic sensors. For an isotropic medium (for a glass or a fine polycrystalline body), classic Lame's theorem (so-called, a general solution of Elasticity Theory or Green-Lame's representation) has been modified for enough general case: an elastic medium rotated about an arbitrary set of axes. Travelling, standing, and mixed shear waves propagating in an infinite isotopic medium (or between a pair of parallel reflecting surfaces) have been considered too. An analogy with classic Foucault's pendulum has been underlined for the effect of a turn of a polarizational plane (i.e., an integration effect for an input angular rate) due to a medium's turn about the axis of the wave propagation. These cases demonstrate a whole-angle regime of gyroscopic operation. Single-crystals are anisotropic media, and, therefore, to reflect influence of the crystal's rotation, classic Christoffel-Green's tensors have been modified. Cases of acoustic axes corresponding to equal velocities for a pair of the pure-transverse (shear) waves have of an evident applied interest. For such a special direction in a crystal, different polarizations of waves are possible, and the gyroscopic effect of "polarizational precession" can be observed like for a glass. Naturally, formation of a wave pattern in a massive elastic body is much more complex due to reflections from its boundaries. Some of these complexities can be eliminated. However, a non-homogeneity has a fundamental nature for any amorphous medium due to its thermodynamically-unstable micro-structure, having fluctuations of the rapidly-frozen liquid. For single-crystalline structures, blockness (walls of dislocations) plays a similar role. Physical nature and kinematic particularities of several typical "drifts" in polarizational BAW gyros (P-BAW) have been considered briefly too. They include irregular precessions ("polarizational beats") due to: non-homogeneity of mass density and elastic moduli, dissymmetry of intrinsic losses, and an angular mismatch between propagation and acoustic axes.

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