• Title/Summary/Keyword: Mesh generation

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A High Quality Mesh Generation with Automatic Differentiation for Surfaces Defined by Hamiltonian Lie Algebra

  • Sagara, Naoya;Makino, Mitsunori
    • Proceedings of the IEEK Conference
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    • 2002.07b
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    • pp.1141-1144
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    • 2002
  • The research on computer graphics(CG) has been actively studied and developed. Namely, many surface/solid models have been proposed in the field of computer aided geometric design as well as the one of CG. Since it is difficult to visualize the complex shape exactly, an approximation by generating a set of meshes is usually used. Therefore it is important to guarantee the quality of the approximation in consideration of the computational cost. In this paper, a mesh generation algorithm will be proposed for a surface defined by Lie algebra. The proposed algorithm considers the quality in the meaning of validation of invariants obtained by the mesh, using automatic differentiation.

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Two-Dimensional Adaptive Mesh Generation Algorithm and its Application with Higher-Order Compressible Flow Solver

  • Phongthanapanich, Sutthisak;Dechaumphai, Pramote
    • Journal of Mechanical Science and Technology
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    • v.18 no.12
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    • pp.2190-2203
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    • 2004
  • A combined procedure for two-dimensional Delaunay mesh generation algorithm and an adaptive remeshing technique with higher-order compressible flow solver is presented. A pseudo-code procedure is described for the adaptive remeshing technique. The flux-difference splitting scheme with a modified multidimensional dissipation for high-speed compressible flow analysis on unstructured meshes is proposed. The scheme eliminates nonphysical flow solutions such as the spurious bump of the carbuncle phenomenon observed from the bow shock of the flow over a blunt body and the oscillation in the odd-even grid perturbation in a straight duct for the Quirk's odd-even decoupling test. The proposed scheme is further extended to achieve higher-order spatial and temporal solution accuracy. The performance of the combined procedure is evaluated on unstructured triangular meshes by solving several steady-state and transient high-speed compressible flow problems.

Automatic Three Dimensional Mesh Generation using Delaunay's Triangulation (Delaunay's 삼각화를 이용한 3차원 자동요소분할)

  • 김형석;정현교;이기식;한송엽
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.12
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    • pp.847-853
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    • 1988
  • A method of three-demensional finite element mesh generation is presented in this paper. This method is based on the Delaunay's triangulation whose dual is Voronoi's diagram. A set of points is given on the boundary surface of the concerning domain and the initial tetrahedra are generated by the given set of points. Then, the quality of every tetrahedron is investigated and the interior points are generated near the tetrahedra which are inferior in quality and the tetrahedra of good quality can be controlled by the density of the initial boundary points. Regions with different material constant can be refined in tetrahedra respectively. To confirm the effectiveness of this algorithm,the total volume of tetrahedra was compared to the true volume and this mesh generator was applied to a three-dimensional electostatic problem.

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A High Quality Mesh Generation for a Surface defined by Linear tie Algebra

  • Sano, Hiroyasu;Makino, Mitsunori
    • Proceedings of the IEEK Conference
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    • 2000.07b
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    • pp.1103-1106
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    • 2000
  • Recently, the research on computer graphics (CG) has been actively studied and developed. Namely, many surface/solid models have been proposed in the field of computer aided geometric design as well as the one of CG. Since it is difficult to visualize the complex shape exactly, an approximation by generating a set of meshes is usually used. Therefore it is important to guarantee the quality of the approximation in consideration of the computational cost. In this paper, a mesh generation algorithm will be proposed for a surface defined by linear tie algebra The proposed algorithm which considers the quality in the meaning of validation of invariants obtained by the mesh.

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Security Framework for Hybrid Wireless Mesh Protocol in Wireless Mesh Networks

  • Avula, Mallikarjun;Lee, Sang-Gon;Yoo, Seong-Moo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.8 no.6
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    • pp.1982-2004
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    • 2014
  • Wireless Mesh Networks (WMNs) are emerging as promising, convenient next generation wireless network technology. There is a great need for a secure framework for routing in WMNs and several research studies have proposed secure versions of the default routing protocol of WMNs. In this paper, we propose a security framework for Hybrid Wireless Mesh Protocol (HWMP) in WMNs. Contrary to existing schemes, our proposed framework ensures both end-to-end and point-to-point authentication and integrity to both mutable and non-mutable fields of routing frames by adding message extension fields to the HWMP path selection frame elements. Security analysis and simulation results show that the proposed approach performs significantly well in spite of the cryptographic computations involved in routing.

Hexahedral Mesh Generation by Sweeping and Grafting Algorithm (스위핑과 접목 알고리즘은 이용한 육면체 요소망의 생성)

  • 권기연;채수원
    • Korean Journal of Computational Design and Engineering
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    • v.6 no.2
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    • pp.125-132
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    • 2001
  • An algorithm for generating all hexahedral meshes for three dimensional objects has been presented. This algorithm is based on the sweeping and the grafting method. In sweeping process internal nodes generating method has been modified by employing the distances between nodes on connecting surfaces and on source surfaces. In addition to the sweeping processes grafting algorithm is also modified to obtain more effective meshes by refining elements near grafting surfaces. With this method two and a half dimensional hexahedral meshes for three dimensional objects can be generated effectively. Sample meshes are constructed to demonstrate the mesh generating capability of the proposed algorithm.

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Triangular Mesh Generation using non-uniform 3D grids (Non-uniform 3D grid를 이용한 삼각형망 생성에 관한 연구)

  • 강의철;우혁제;이관행
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.1283-1287
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    • 2003
  • Reverse engineering technology refers to the process that creates a CAD model of an existing part using measuring devices. Recently, non-contact scanning devices have become more accurate and the speed of data acquisition has increased drastically. However, they generate thousands of points per second and various types of point data. Therefore. it becomes a important to handle the huge amount and various types of point data to generate a surface model efficiently. This paper proposes a new triangular mesh generation method using 3D grids. The geometric information of a part can be obtained from point cloud data by estimating normal values of the points. In our research, the non-uniform 3D grids are generated first for feature based data reduction based on the geometric information. Then, triangulation is performed with the reduced point data. The grid structure is efficiently used not only for neighbor point search that can speed up the mesh generation process but also for getting surface connectivity information to result in same topology surface with the point data. Through this integrated approach, it is possible to create surface models from scanned point data efficiently.

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Geometric Detail Suppression for the Generation of Efficient Finite Elements (효율적 유한요소 생성을 위한 미소 기하 특징 소거)

  • 이용구;이건우
    • Korean Journal of Computational Design and Engineering
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    • v.2 no.3
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    • pp.175-185
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    • 1997
  • Given the widespread use of the Finite Element Method in strength analysis, automatic mesh generation is an important component in the computer-aided design of parts and assemblies. For a given resolution of geometric accuracy, the purpose of mesh generators is to discretize the continuous model of a part within this error limit. Sticking to this condition often produces many small elements around small features in spite that these regions are usually of little interest and computer resources are thus wasted. Therefore, it is desirable to selectively suppress small features from the model before discretization. This can be achieved by low-pass filtering a CAD model. A spatial function of one dimension higher than the model of interest is represented using the Fourier basis functions and the region where the function yields a value greater than a prescribed value is considered as the extent of a shape. Subsequently, the spatial function is low-pass filtered, yielding a shape without the small features. As an undesirable effect to this operation, all sharp corners are rounded. Preservation of sharp corners is important since stress concentrations might occur there. This is why the LPF (low-pass filtered) model can not be directly used. Instead, the distances of the boundary elements of the original shape from the LPF model are calculated and those that are far from the LPF model are identified and removed. It is shown that the number of mesh elements generated on the simplified model is much less than that of the original model.

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3D Tunnel Modeling by Parametric Representation of Geometry (매개변수식 기하 표현법에 의한 3차원 터널 모델링)

  • 이형우;신대석
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.1
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    • pp.33-42
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    • 2002
  • A method of automatic 3D tunnel modeling is proposed. The proposed method used the parametric representation of geometry and a hierarchical and relational data structure. These two bases provide the generalization and extension for 3D tunnel modeling. Especially, these two fundamentals ion the basis iota representing the characteristics of the tunnel structure for analysis. The constant-curvature characteristic is exploited to generate 3D mesh on the tunnel surface. This is attributed to the advantage that any 2D automatic mesh generation algorithm can be applied to 3D mesh modeling.

Parallel Generation of NC Tool Paths for Subdivision Surfaces

  • Dai Junfu;Wang Huawei;Qin Kaihuai
    • International Journal of CAD/CAM
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    • v.4 no.1
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    • pp.47-53
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    • 2004
  • The subdivision surface is the limit of recursively refined polyhedral mesh. It is quite intuitive that the multi-resolution feature can be utilized to simplify generation of NC (Numerical Control) tool paths for rough machining. In this paper, a new method of parallel NC tool path generation for subdivision surfaces is presented. The basic idea of the method includes two steps: first, extending G-Buffer to a strip buffer (called S-Buffer) by dividing the working area into strips to generate NC tool paths for objects of large size; second, generating NC tool paths by parallel implementation of S-Buffer based on MPI (Message Passing Interface). Moreover, the recursion depth of the surface can be estimated for a user-specified error tolerance, so we substitute the polyhedral mesh for the limit surface during rough machining. Furthermore, we exploit the locality of S-Buffer and develop a dynamic division and load-balanced strategy to effectively parallelize S-Buffer.