• Title/Summary/Keyword: geometric snapping

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Geometric Snapping for 3D Triangular Meshes and Its Applications (3차원 삼각형 메쉬에 대한 기하학적 스내핑과 그의 응용)

  • 유관희;하종성
    • Journal of KIISE:Computer Systems and Theory
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    • v.31 no.3_4
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    • pp.239-246
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    • 2004
  • Image snapping for an image moves the cursor location to nearby features in the image, such as edges. In this paper, we propose geometric snapping for 3D triangular meshes, which is extended from image snapping. Similar to image snapping, geometric snapping also moves the cursor location naturally to a location which represents main geometric features in the 3D triangular meshes. Movement of cursor is based on the approximate curvatures which appear geometric features on the 3D triangular meshes. The proposed geometric snapping can be applied to extract main geometric features on 3D triangular meshes. Moreover, it can be applied to extract the geometric features of a tooth which are necessary for generating the occlusal surfaces in dental prostheses.

User-Steered Extraction of Geometric Features for 3D Triangular Meshes (사용자 의도에 의한 삼차원 삼각형 메쉬의 기하적 특징 추출)

  • Yoo, Kwan-Hee;Ha, Jong Sung
    • Journal of the Korea Computer Graphics Society
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    • v.9 no.2
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    • pp.11-18
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    • 2003
  • For extracting geometric features in 3D meshes according to user-steering with effective interactions. this paper generalizes the 2D algorithms of snapping and wrapping that. respectively. moves a cursor to a nearby feature and constructs feature boundaries. First. we define approximate curvatures and move cost functions that are the numerical values measuring the geometric characteristics of the meshes, By exploiting the measuring values. the algorithms of geometric snapping and geometric wrapping are developed and implemented. We also visualize the results from applying the algorithms to extracting geometric features of general 3D mesh models such as a face model and a tooth model.

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A study of the Snapping investigations of Seoul Southwest Baseball Dome (서울 서남권 돔 야구장의 Snapping 검토에 관한 연구)

  • Kim, Seung-Deog;Kim, Nam-Seok
    • Journal of Korean Association for Spatial Structures
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    • v.10 no.4
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    • pp.133-140
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    • 2010
  • This paper studies on the instability behaviour of the Seoul southwest baseball dome. The nonlinear Snapping phenomenon of the structure is investigated about the load mode by the design load of analysis structure and these combined loads. The initial imperfection obtains the buckling mode through the eigenvalue analysis of the tangential stiffness matrix and uses this for the nonlinear analysis. However, the buckling of members or the local buckling, and etc don't consider in the research range of this research task. Also it is limited the overall buckling phenomenon.

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Design, Fabrication and tTsting of a Microswitch Using Snap-through Buckling Phenomenon (스냅스루 좌굴을 이용한 미소스위치의 설계, 제작 및 실험)

  • Go, Jeung-Sang;Cho, Young-Ho;Kwak, Byung-Man;Park, Kwan-Hum
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.2
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    • pp.481-487
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    • 1996
  • A snapping-beam microswitch has been designed, fabricated and tested. From a design analysis, necessary and sufficient conditions for a snap-through switching fouction have been derived for a clamped shallow beam. The necessary condition has resulted in a geometric relation, in which the ratio of beam thickness to initial beam deflection plays a key role in the snapping ability. The sufficient condition for the snapping action has been obtained as a function of the inertia force due to applied acceleration, and the electrostatic force, adjustable by an inter-electrode voltage. For experimental investigations, a set of microbeams of silicon dioxide/$P^+$silicon bimorphs have been fabricated. Geometric size and mechanical behavior of each material film have been measured from on-chip test structures. Estimated and measured characteristics of the fabricated devices are compared.

Vibration and Post-buckling Behavior of Laminated Composite Doubly Curved Shell Structures

  • Kundu, Chinmay Kumar;Han, Jae-Hung
    • Advanced Composite Materials
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    • v.18 no.1
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    • pp.21-42
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    • 2009
  • The vibration characteristics of post-buckled laminated composite doubly curved shells are investigated. The finite element method is used for the analysis of post-buckling and free vibration of post-buckled laminated shells. The geometric non-linear finite element model includes the general non-linear terms in the strain-displacement relationships. The shell geometry used in the present formulation is derived using an orthogonal curvilinear coordinate system. Based on the principle of virtual work the non-linear finite element equations are derived. Arc-length method is implemented to capture the load-displacement equilibrium curve. The vibration characteristics of post-buckled shell are performed using tangent stiffness obtained from the converged deflection. The code is first validated and then employed to generate numerical results. Parametric studies are performed to analyze the snapping and vibration characteristics. The relationship between loads and fundamental frequencies and between loads and the corresponding displacements are determined for various parameters such as thickness ratio and shallowness.

Dynamic Buckling Characteristics of Arch Structures Considering Geometric Nonlinearity (기하학적 비선형을 고려한 정현형 아치 구조물의 동적 좌굴 특성)

  • 윤태영;김승덕
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.492-497
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    • 2003
  • The dynamic instability for snapping phenomena has been studied by many researches. There is few paper which deal with the dynamic buckling under the load with periodic characteristics, and the behavior under periodic excitation is expected the different behavior against STEP excitation. We investigate the fundamental mechanisms of the dynamic instability when the sinusoidal shaped arch structures subjected to sinusoidal distributed excitation with pin-ends. In this study, the dynamic direct snapping of shallow arches is investigated under not only STEP load excitation but also sinusoidal harmonic excitations, applied in the up-and-down direction. The dynamic nonlinear responses are obtained by the numerical integration of the geometrically nonlinear equations of motion, and examined by the Fourier spectral analysis in order to get the frequency-dependent characteristics of the dynamic instability for various load levels.

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Dynamic Buckling Characteristics of 3-Free-Nodes Spatial Truss Model Under the Step Load (스텝 하중을 받는 3-자유절점 공간 트러스 모델의 동적 좌굴 특성)

  • Shon, Sudeok;Hwang, Kyung-Ju
    • Journal of Korean Association for Spatial Structures
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    • v.20 no.2
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    • pp.59-68
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    • 2020
  • In this paper, the dynamic snapping of the 3-free-nodes spatial truss model was studied. A governing equation was derived considering geometric nonlinearity, and a model with various conditions was analyzed using the fourth order Runge-Kutta method. The dynamic buckling phenomenon was observed in consideration of sensitive changes to the force mode and the initial condition. In addition, the critical load level was analyzed. According to the results of the study, the level of critical buckling load elevated when the shape parameter was high. Parallelly, the same result was caused by the damping term. The sensitive asymmetrical changes showed complex orbits in the phase space, and the critical load level was also becoming lowly. In addition, as the value of damping constant was high, the level of critical load also increases. In particular, the larger the damping constant, the faster it converges to the equilibrium point, and the occurrence of snapping was suppressed.

Nonlinear Effects on the Cable Dynamic Behaviour (케이블의 동적거동에 미치는 비선형 영향)

  • Hyun-Kyoung,Shin
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.1
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    • pp.11-16
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    • 1990
  • The effects on the dynamic behaviour of the geometric nonlinearity and large dynamic tensile forces occurring in hostile sea environments must be investigated for assessing extreme tensions and fatigue life expectancy of cable. In this paper, the combined effects on the cable dynamic responses are shown through comparisons between numerical solutions to the cable dynamic equations with geometric nonlinearity and large tensile force terms as well as nonlinear drag term and those to the cable equations with only nonlinear drag term. It is found that, in steady state, the cambined effects increase the maximum dynamic tension and reduce the magnitude of the minimum of the dynamic tension at the middle of the cable. This decrease together with the increase of the maximum dynamic tension, cause the average tension to become higher and, therefore, it may deteriorate the cable fatigue life.

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Nonlinear Dynamic Analysis of Space Truss by Using Multistage Homotopy Perturbation Method (시분할구간 호모토피 섭동법을 이용한 공간 트러스의 비선형 동적 해석)

  • Shon, Su-Deok;Ha, Jun-Hong;Lee, Seung-Jae
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.9
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    • pp.879-888
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    • 2012
  • This study aims to apply multistage homotopy perturbation method(MHPM) to space truss composed of discrete members to obtain a semi-analytical solution. For the purpose of this research, a nonlinear governing equation of the structures is formulated in consideration of geometrical nonlinearity, and homotopy equation is derived. The result of carrying out dynamic analysis on a simple model is compared to a numerical method of 4th order Runge-Kutta method(RK4), and the dynamic response by MHPM concurs with the numerical result. Besides, the displacement response and attractor in the phase space is able to delineate dynamic snapping properties under step excitations and the responses of damped system are reflected well the reduction effect of the displacement.

A Schematic Map Generation System Using Centroidal Voronoi Tessellation and Icon-Label Replacement Algorithm (중심 보로노이 조각화와 아이콘 및 레이블 배치 알고리즘을 이용한 도식화된 지도 생성 시스템)

  • Ryu Dong-Sung;Uh Yoon;Park Dong-Gyu
    • Journal of Korea Multimedia Society
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    • v.9 no.2
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    • pp.139-150
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    • 2006
  • A schematic map is a special purpose map which is generated to recognize it's objects easily and conveniently via simplifying and highlighting logical geometric information of a map. To manufacture the schematic map with road, label and icon, we must generate simplified route map and replace many geometric objects. Performing a give task, however, there are an amount of overlap areas between geometric objects whenever we process the replacement of geometry objects. Therefore we need replacing geometric objects without overlap. But this work requires much computational resources, because of the high complexity of the original geometry map. We propose the schematic map generation system whose map consists of icons and label. The proposed system has following steps: 1) eliminating kinks that are least relevant to the shape of polygonal curve using DCE(Discrete Curve Evolution) method. 2) making an evenly distributed route using CVT(Centroidal Voronoi Tessellation) and Grid snapping method. Therefore we can keep the structural information of the route map from CVT method. 3) replacing an icon and label information with collision avoidance algorithm. As a result, we can replace the vertices with a uniform distance and guarantee the available spaces for the replacement of icons and labels. We can also minimize the overlap between icons and labels and obtain more schematized map.

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