• 제목/요약/키워드: D-H representation

검색결과 60건 처리시간 0.024초

REPRESENTATION AND DUALITY OF UNIMODULAR C*-DISCRETE QUANTUM GROUPS

  • Lining, Jiang
    • 대한수학회지
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    • 제45권2호
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    • pp.575-585
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    • 2008
  • Suppose that D is a $C^*$-discrete quantum group and $D_0$ a discrete quantum group associated with D. If there exists a continuous action of D on an operator algebra L(H) so that L(H) becomes a D-module algebra, and if the inner product on the Hilbert space H is D-invariant, there is a unique $C^*$-representation $\theta$ of D associated with the action. The fixed-point subspace under the action of D is a Von Neumann algebra, and furthermore, it is the commutant of $\theta$(D) in L(H).

EVERY POLYNOMIAL OVER A FIELD CONTAINING 𝔽16 IS A STRICT SUM OF FOUR CUBES AND ONE EXPRESSION A2 + A

  • Gallardo, Luis H.
    • 대한수학회보
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    • 제46권5호
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    • pp.941-947
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    • 2009
  • Let q be a power of 16. Every polynomial $P\in\mathbb{F}_q$[t] is a strict sum $P=A^2+A+B^3+C^3+D^3+E^3$. The values of A,B,C,D,E are effectively obtained from the coefficients of P. The proof uses the new result that every polynomial $Q\in\mathbb{F}_q$[t], satisfying the necessary condition that the constant term Q(0) has zero trace, has a strict and effective representation as: $Q=F^2+F+tG^2$. This improves for such q's and such Q's a result of Gallardo, Rahavandrainy, and Vaserstein that requires three polynomials F,G,H for the strict representation $Q=F^2$+F+GH. Observe that the latter representation may be considered as an analogue in characteristic 2 of the strict representation of a polynomial Q by three squares in odd characteristic.

지능로봇을 위한 다층구조의 행위 표현 방법론에 관한 연구 (Study on the methodology of Multi-later behavior representation for intelligent Robots)

  • 조수정;최경현;도양회;김병국
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 추계학술대회 논문집
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    • pp.984-988
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    • 2005
  • To accomplish various and complex tasks by intelligent robots, improvement is needed not only in mechanical system architecture but also in control system architecture. Hybrid control architecture has been suggested as a mutually complementing architecture of the weak points of a deliberative and a reactive control. This paper addresses a control architecture of robots, and a behavior representation methodology. The suggested control architecture consists of three layers of deliberative, sequencing, and reactive as hybrid control architecture. Multi-layer behavior model is employed to represent desired tasks. 3D simulation will be conducted to verify the applicability of suggested control architecture and behavior representation method.

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소용량 컴퓨터에 의한 CT 영상의 계층적 표현 (Hierachical representation of CT images with small memory computer)

  • 유선국;김선호;김남현;김원기;박상희
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1989년도 춘계학술대회
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    • pp.39-43
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    • 1989
  • In this paper, hierachical representation method with a 1-to-4 and 1-to-8 data structure is used to reconstruct the three-dimensional scene from two-dimensional cross sections provided by computed tomography with small memory computer system. To reduce the internal memory use, 2-D section is represented by quadtree, and 3-D scene is represented by octree. Octree is constructed by recursively merging consecutive quadtrees. This method uses 7/200 less memory than pointer type structure with all the case, and less memory up to 60.3% than linear octree with experimental data.

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계층적 깊이 영상으로 표현된 다시점 비디오에 대한 H.264 부호화 기술 (H.264 Encoding Technique of Multi-view Video expressed by Layered Depth Image)

  • 신종홍;지인호
    • 한국인터넷방송통신학회논문지
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    • 제14권2호
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    • pp.43-51
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    • 2014
  • 깊이 영상을 고려한 다시점 비디오는 매우 많은 양의 데이터 때문에 저장과 전송을 위해서 새로운 부호화 압축 기술 개발이 요구된다. 계층적 깊이 영상은 다시점 비디오의 효과적인 표현방법이 된다. 이 방법은 다시점 칼라와 깊이 영상을 합성하는 데이터 구조를 만들어 준다. 이 새로운 콘텐츠를 효과적으로 압축하는 방법으로 3차원 워핑을 이용한 계층적 깊이 영상 표현과 비디오 압축 부호화를 적용하는 방법을 제안하였다. 이 논문은 계층적 영상 표현을 사용한 H.264/AVC 비디오 부호화 기술의 개선된 압축 방법을 제시하여 준다. 컴퓨터 모의시험으로 좋은 압축율과 좋은 성능의 회복 영상을 얻을 수 있음을 제시하였다.

유연 로보트팔의 동특성 해석에 관한 연구 (A Study on the Dynamic Analysis for Flexible Robotic Arms)

  • 김창부;유영선
    • 한국정밀공학회지
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    • 제10권3호
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    • pp.107-116
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    • 1993
  • In the design and operation of robitic arm with flexible links, the equation of motion are required to exactly model the interaction between rigid body motion and elastic motion and to be formulated efficientlyl. In this paper, the flexible link is represented by applying the D-H rigid link representation method to measure the elestic deformation. And the equations of motion of robotic arm, which are configured by the generalized coordinates of elastic and rigid degrees of freedom, are formulated from the principle of virtual power. Dynamic characteristics due to elastic deformation of each link are obtained by using F. E. M to model complex shaped link acurately and by eliminating elastic modes of higher order that do not largely affect motion to reduce the number of elastic degrees of freedom. Also presented is the result of simulation of flexible robotic arms whose joints are controlled by direct or PD control.

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자유시점 TV를 위한 다시점 비디오의 계층적 깊이 영상 표현과 H.264 부호화 (Layered Depth Image Representation And H.264 Encoding of Multi-view video For Free viewpoint TV)

  • 신종홍
    • 디지털산업정보학회논문지
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    • 제7권2호
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    • pp.91-100
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    • 2011
  • Free viewpoint TV can provide multi-angle view point images for viewer needs. In the real world, But all angle view point images can not be captured by camera. Only a few any angle view point images are captured by each camera. Group of the captured images is called multi-view image. Therefore free viewpoint TV wants to production of virtual sub angle view point images form captured any angle view point images. Interpolation methods are known of this problem general solution. To product interpolated view point image of correct angle need to depth image of multi-view image. Unfortunately, multi-view video including depth image is necessary to develop a new compression encoding technique for storage and transmission because of a huge amount of data. Layered depth image is an efficient representation method of multi-view video data. This method makes a data structure that is synthesis of multi-view color and depth image. This paper proposed enhanced compression method using layered depth image representation and H.264/AVC video coding technology. In experimental results, confirmed high compression performance and good quality reconstructed image.

QUANTUM MARKOVIAN SEMIGROUPS ON QUANTUM SPIN SYSTEMS: GLAUBER DYNAMICS

  • Choi, Veni;Ko, Chul-Ki;Park, Yong-Moon
    • 대한수학회지
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    • 제45권4호
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    • pp.1075-1087
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    • 2008
  • We study a class of KMS-symmetric quantum Markovian semigroups on a quantum spin system ($\mathcal{A},{\tau},{\omega}$), where $\mathcal{A}$ is a quasi-local algebra, $\tau$ is a strongly continuous one parameter group of *-automorphisms of $\mathcal{A}$ and $\omega$ is a Gibbs state on $\mathcal{A}$. The semigroups can be considered as the extension of semi groups on the nontrivial abelian subalgebra. Let $\mathcal{H}$ be a Hilbert space corresponding to the GNS representation con structed from $\omega$. Using the general construction method of Dirichlet form developed in [8], we construct the symmetric Markovian semigroup $\{T_t\}{_t_\geq_0}$ on $\mathcal{H}$. The semigroup $\{T_t\}{_t_\geq_0}$ acts separately on two subspaces $\mathcal{H}_d$ and $\mathcal{H}_{od}$ of $\mathcal{H}$, where $\mathcal{H}_d$ is the diagonal subspace and $\mathcal{H}_{od}$ is the off-diagonal subspace, $\mathcal{H}=\mathcal{H}_d\;{\bigoplus}\;\mathcal{H}_{od}$. The restriction of the semigroup $\{T_t\}{_t_\geq_0}$ on $\mathcal{H}_d$ is Glauber dynamics, and for any ${\eta}{\in}\mathcal{H}_{od}$, $T_t{\eta}$, decays to zero exponentially fast as t approaches to the infinity.

B-Spline을 이용한 선체표면의 표현에 관한 연구 (Representation of Ship Hull Surface Using B-Spline)

  • 윤병호;서승완;김원돈;김광욱
    • 대한조선학회지
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    • 제22권3호
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    • pp.19-26
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    • 1985
  • This paper deals with the representation and fairing of ship hull using a B-spline surface which is known as a 3-D model in computer aided free-form design. The first part of this paper is devoted to the fundamental concepts of B-spline theory and its geometrical characteristics. In its second part are described the facillities for efficient application, fast rendering of B-spline surface, and intersection of B-spline surfaces. The examples are presented with actual application to a real ship in the last part. And also a new concept of evaluating the surface fairness by the Gaussian curvature isolines is briefly discussed and its examples are presented.

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시간 영역에서 획득된 초음파 영상의 심내강 영역에 대한 3차원 표현 (3-D Representation of Cavity Region from Ultrasonic Image Acquired in the Time Domain)

  • 원철호;채승표;구성모;김명남;조진호
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1997년도 춘계학술대회
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    • pp.119-122
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    • 1997
  • In this paper, we represented the variation of heart cavity area in the space domain by 3-d rendering. We arranged the 2-d sequence of ultrasonic image acquired in the time domain as volumetric data, and extracted heart cavity region from 3-d data. For the segmentation of 3-d volume data, we extracted the cavity region using the method of expanding the cavity region that is same statistical property. By shading which is using light and object normal vector, we visualized the volume data on image plane.

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