• 제목/요약/키워드: Mirror Symmetry

검색결과 32건 처리시간 0.028초

포인트그룹 이론을 이용한 대칭적 건물 평면형태의 최적대안 결정방안 (The Optimization Method of Symmetrical Building Plan Using Point Group Theory)

  • 진경일
    • 한국실내디자인학회논문집
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    • 제38호
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    • pp.75-82
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    • 2003
  • The symmetry is general geometric design principal in contemporary architecture shape. But, Symmetry sometimes easily causes unreasonable design. In some reason, two of symmetric units in the apartment, one side of unit have very reasonable plan and arrangement but opposite side unit nay not. For example, if the kitchen on right unit had right-handed arrangement, the symmetrical other would have left-handed kitchen arrangement. In addition to this, if each house unit has the same plan but different direction, each unit has different usage or affects the residents' life pattern. Nevertheless, Architects use only one unit plan to design public housing development by using symmetric operator (mirror, proper rotation, inversion center) at their option. This study suggests that using group theory and mathematical matrix rather than designer's discretion can solve this symmetry problem clearly. And, this study analysis the merits and demerits between each symmetrical pair of unit plan shapes by using mathematical point group theory and matrix.

EFFICIENTLY COMPUTING TORUS CHARTS IN LANDAU-GINZBURG MODELS OF COMPLETE INTERSECTIONS IN GRASSMANNIANS OF PLANES

  • Prince, Thomas
    • 대한수학회보
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    • 제54권5호
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    • pp.1719-1724
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    • 2017
  • In this note, companion to the paper [10], we describe an alternative method for finding Laurent polynomials mirror-dual to complete intersections in Grassmannians of planes, in the sense discussed in [10]. This calculation follows a general method for finding torus charts on Hori-Vafa mirrors to complete intersections in toric varieties, detailed in [5] generalising the method of [8].

시각적 특징들을 이용한 도로 상의 후방 추종 차량 인식 (On-Road Succeeding Vehicle Detection using Characteristic Visual Features)

  • 샴 아디카리;조휘택;유현중;양창주;김형석
    • 전기학회논문지
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    • 제59권3호
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    • pp.636-644
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    • 2010
  • A method for the detection of on-road succeeding vehicles using visual characteristic features like horizontal edges, shadow, symmetry and intensity is proposed. The proposed method uses the prominent horizontal edges along with the shadow under the vehicle to generate an initial estimate of the vehicle-road surface contact. Fast symmetry detection, utilizing the edge pixels, is then performed to detect the presence of vertically symmetric object, possibly vehicle, in the region above the initially estimated vehicle-road surface contact. A window defined by the horizontal and the vertical line obtained from above along with local perspective information provides a narrow region for the final search of the vehicle. A bounding box around the vehicle is extracted from the horizontal edges, symmetry histogram and a proposed squared difference of intensity measure. Experiments have been performed on natural traffic scenes obtained from a camera mounted on the side view mirror of a host vehicle demonstrate good and reliable performance of the proposed method.

Posture Symmetry based Motion Capture System for Analysis of Lower -limbs Rehabilitation Training

  • Lee, Seok-Jun;Jung, Soon-Ki
    • 한국멀티미디어학회논문지
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    • 제14권12호
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    • pp.1517-1527
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    • 2011
  • This paper presents a motion capture based rehabilitation training system for a lower-limb paretic patient. The system evaluates the rehabilitation status of the patient by using the bend posture of the knees and the weight balance of the body. The posture of both legs is captured with a single camera using the planar mirror. The weight distribution is obtained by the Wii Balance Board. Self-occlusion problem in the tracking of the legs is resolved by using k-nearest neighbor based clustering with body symmetry and local-linearity of the posture data. To do this, we present data normalization and its symmetric property in the normalized vector space.

Binary-phase Complex Spatial Light Modulators Driven by Mirror Symmetry

  • Choi, Minho;Choi, Jaewu
    • Current Optics and Photonics
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    • 제5권3호
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    • pp.261-269
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    • 2021
  • Binary-phase complex spatial light modulators (BP-C-SLMs) are proposed and simulated. This study shows that bottom-top mirror-symmetrical uniaxial systems between two orthogonal polarizers allow one to construct BP-C-SLMs. BP-C-SLMs double the information-handling capacity per pixel, compared to the conventional amplitude-only spatial light modulators (A-SLMs), as well as being simply implemented with a single spatial light modulator (SLM), rather than a combination of an A-SLM and a binary-phase SLMs. Under limited conditions, BP-C-SLMs can control only the amplitude in single-phase space, and act as A-SLMs.

Software development for the visualization of brain fiber tract by using 24-bit color coding in diffusion tensor image

  • Oh, Jung-Su;Song, In-Chan;Ik hwan Cho;Kim, Jong-Hyo;Chang, Kee-Hyun;Park, Kwang-Suk
    • 대한자기공명의과학회:학술대회논문집
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    • 대한자기공명의과학회 2002년도 제7차 학술대회 초록집
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    • pp.133-133
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    • 2002
  • Purpose: The purpose of paper is to implement software to visualize brain fiber tract using a 24-bit color coding scheme and to test its feasibility. Materials and Methods: MR imaging was performed on GE 1.5 T Signa scanner. For diffusion tensor image, we used a single shot spin-echo EPI sequence with 7 non-colinear pulsed-field gradient directions: (x, y, z):(1,1,0),(-1,1,0),(1,0,1),(-1,0,1),(0,1,1),(0,1,-1) and without diffusion gradient. B-factor was 500 sec/$\textrm{mm}^2$. Acquisition parameters are as follows: TUTE=10000ms/99ms, FOV=240mm, matrix=128${\times}$128, slice thickness/gap=6mm/0mm, total slice number=30. Subjects consisted of 10 normal young volunteers (age:21∼26 yrs, 5 men, 5 women). All DTI images were smoothed with Gaussian kernel with the FWHM of 2 pixels. Color coding schemes for visualization of directional information was as follows. HSV(Hue, Saturation, Value) color system is appropriate for assigning RGB(Red, Green, and Blue) value for every different directions because of its volumetric directional expression. Each of HSV are assigned due to (r,$\theta$,${\Phi}$) in spherical coordinate. HSV calculated by this way can be transformed into RGB color system by general HSV to RGB conversion formula. Symmetry schemes: It is natural to code the antipodal direction to be same color(antipodal symmetry). So even with no symmetry scheme, the antipodal symmetry must be included. With no symmetry scheme, we can assign every different colors for every different orientation.(H =${\Phi}$, S=2$\theta$/$\pi$, V=λw, where λw is anisotropy). But that may assign very discontinuous color even between adjacent yokels. On the other hand, Full symmetry or absolute value scheme includes symmetry for 180$^{\circ}$ rotation about xy-plane of color coordinate (rotational symmetry) and for both hemisphere (mirror symmetry). In absolute value scheme, each of RGB value can be expressed as follows. R=λw|Vx|, G=λw|Vy|, B=λw|Vz|, where (Vx, Vy, Vz) is eigenvector corresponding to the largest eigenvalue of diffusion tensor. With applying full symmetry or absolute value scheme, we can get more continuous color coding at the expense of coding same color for symmetric direction. For better visualization of fiber tract directions, Gamma and brightness correction had done. All of these implementations were done on the IDL 5.4 platform.

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ONE-POINTED GRAVITATIONAL GROMOV-WITTEN INVARIANTS FOR GRASSMANNIANS

  • Kim, Bum-Sig
    • 대한수학회지
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    • 제38권5호
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    • pp.1061-1068
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    • 2001
  • We write down explicity a recursive formula of one-pointed gravitational Gromov-Witten invariants and reduce the computation of them to a combinatoric problem which is not solved yet. The one-pointed invariants were played important role in Givental’s program in mirror symmetry. In section 3, we describe the combinatoric problem which can be read independently.

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HYPERBOLICITY OF CHAIN TRANSITIVE SETS WITH LIMIT SHADOWING

  • Fakhari, Abbas;Lee, Seunghee;Tajbakhsh, Khosro
    • 대한수학회보
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    • 제51권5호
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    • pp.1259-1267
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    • 2014
  • In this paper we show that any chain transitive set of a diffeomorphism on a compact $C^{\infty}$-manifold which is $C^1$-stably limit shadowable is hyperbolic. Moreover, it is proved that a locally maximal chain transitive set of a $C^1$-generic diffeomorphism is hyperbolic if and only if it is limit shadowable.

조명 변화에 강건한 얼굴 인식의 전처리 기법; 얼굴의 대칭성 (Pre-processing Method for Face Recognition Robust to Lightness Variation; Facial Symmetry)

  • 권혁봉;김영길;장언동;송영준
    • 한국콘텐츠학회논문지
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    • 제4권4호
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    • pp.163-169
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    • 2004
  • 본 논문은 전면 얼굴의 대칭성을 이용하여 음영이 있는 얼굴에 대한 효율적인 전처리 기법을 제안한다 기존의 PCA를 이용하여 얼굴 인식을 할 경우, 조명의 변화에 따라 음영이 생긴 얼굴 영상에 대해 인식률이 저하되는 특성을 가지고 있다. 본 논문에서는 얼굴이 좌우 대칭이라는 특성을 이용하여 성능 향상을 이루고자 한다. 즉, 얼굴의 좌우 음영차를 구하여 임계값 이상의 차이가 있을 경우, 밝은 쪽의 좌(우) 영상을 대칭하여 경상 영상을 생성하는 전처리 과정을 수행한다. 얼굴 인식에서 제안하는 방법의 성능 평가를 위해, 조명의 변화가 많은 Yale 얼굴 데이터베이스를 가지고 실험하였다. 실험 방법은 기존의 PCA, 고유 얼굴 3개를 제외한 PCA, 히스토그램 평활화 방법과 제안 방법으로 나누어 실험하였다. 실험 결과, 제안방법이 $98.889\%$의 높은 인식률을 보여 상당히 우수함을 보였다.

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얼굴의 대칭성을 이용하여 조명 변화에 강인한 2차원 얼굴 인식 시스템 설계 (Design of Two-Dimensional Robust Face Recognition System Realized with the Aid of Facial Symmetry with Illumination Variation)

  • 김종범;오성권
    • 전기학회논문지
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    • 제64권7호
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    • pp.1104-1113
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    • 2015
  • In this paper, we propose Two-Dimensional Robust Face Recognition System Realized with the Aid of Facial Symmetry with Illumination Variation. Preprocessing process is carried out to obtain mirror image which means new image rearranged by using difference between light and shade of right and left face based on a vertical axis of original face image. After image preprocessing, high dimensional image data is transformed to low-dimensional feature data through 2-directional and 2-dimensional Principal Component Analysis (2D)2PCA, which is one of dimensional reduction techniques. Polynomial-based Radial Basis Function Neural Network pattern classifier is used for face recognition. While FCM clustering is applied in the hidden layer, connection weights are defined as a linear polynomial function. In addition, the coefficients of linear function are learned through Weighted Least Square Estimation(WLSE). The Structural as well as parametric factors of the proposed classifier are optimized by using Particle Swarm Optimization(PSO). In the experiment, Yale B data is employed in order to confirm the advantage of the proposed methodology designed in the diverse illumination variation