• Title/Summary/Keyword: Triangular method

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Electric Field Calculation of Composite Media Dielectric with Different Resistivity by Using Surface Charge Method (저항을 특성이 크게 상이한 다매질 유전체 내부의 전계 계산을 위한 표면 전하법 기법)

  • Min, Suk-Won
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.391-393
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    • 1997
  • Two kinds of the calculation technique are Investigated with 3D triangular SCM for the arrangement of the dielectric sphere with different resistivity under a uniform electric field. The calculation error of Method I is small outside the sphere, but considerably high Inside. On the other hand, the accuracy is much Improved even Inside the solid dielectric by Method II, which uses double layers of triangular charges on the dielectric boundary.

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FUZZY TRANSPORTATION PROBLEM IS SOLVED UTILIZING SIMPLE ARITHMETIC OPERATIONS, ADVANCED CONCEPT, AND RANKING TECHNIQUES

  • V. SANGEETHA;K. THIRUSANGU;P. ELUMALAI
    • Journal of applied mathematics & informatics
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    • v.41 no.2
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    • pp.311-320
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    • 2023
  • In this article, a new penalty and different ranking algorithms are used to find the lowest transportation costs for the fuzzy transportation problem. This approach utilises different ranking techniques when dealing with triangular fuzzy numbers. Also, we find that the fuzzy transportation solution of the proposed method is the same as the Fuzzy Modified Distribution Method (FMODI) solution. Finally, examples are used to show how a problem is solved.

Development of Generating Technique for Triangular Mesh by using Distinct Element Method (개별요소법을 이용한 삼각망 생성기법 개발)

  • Kim, Nam-Hyeong;Yun, Hyeon-Cheol;Hur, Young-Teck
    • Journal of Navigation and Port Research
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    • v.34 no.5
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    • pp.367-373
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    • 2010
  • When the numerical analysis is carried out, it is necessary to set proper elements as a feature of analysis domains for more accurate simulations. In this study, Distinct Element Method(DEM) is applied, only considering repulsive force and tensile force except for frictional force and resisting force of particle. When the filled particles with initial Quad-tree type is relocated by DEM, a blank space existing among the particles can be minimized because the shape of particle is circular. Finally, it is the effective feature that the centroidal disposion of the particles is similar to an equilateral triangle. Triangular mesh are formed by using the Delaunay triangular technique on these relocated particles, the quality of triangular mesh is more improved by carrying out Laplace interpolations. The compared result of Aspect Ratio before and after the Laplace interpolation is shown that although the quality of triangular mesh made by DEM is good, the later triangular mesh are higher quality than the formers. In this study, although the developed technique takes a longer calculational time than the previous technique to generate triangular mesh, it is considered that the applicable possibility is very high in the generation of finite element mesh about wave analysis and various numerical simulation to need a complex or reappearance of exact topography.

Trimmed NURBS surface tessellation with sharp shape constraint (Sharp Shape를 유지하는 trimmed NURBS 곡면의 삼각화 방법)

  • Cho, Doo-Yeoun;Kim, In-Ill;Lee, Kyu-Yeul;Kim, Tae-Wan
    • Journal of Korea Game Society
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    • v.2 no.1
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    • pp.62-68
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    • 2002
  • This paper presents a method for tessellating trimmed NURBS surface with preserving sharp shape Although several existing approaches need a large number of triangular meshes to represent sharp shape of surface, resulting triangular meshes may not reflect sharp edges properly. In this study, we flit detect the sharp shape of NURBS surface automatically using C1 continuous condition and then use constraint Delaunay triangulation method to present exact sharp shape with the minimum triangular meshes. And we also use approximated developed surface domain as triangulation domain of rimmed NURBS surface. In this way, the shape of triangular elements on the triangular domains is approximately preserved and can avoid distortion when mapped into three-dimensional space. finally, we show examples that demonstrate the effectiveness of the proposed scheme in terms of reducing the number of triangular meshes and preserving sharp shape of surface more exactly.

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Cloth simulation using a particle system on triangular mesh (삼각 메쉬 파티클 시스템을 이용한 직물 시뮬레이션)

  • Noh, Jae-Hee;Jung, Moon-Ryul
    • Journal of the Korea Computer Graphics Society
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    • v.16 no.3
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    • pp.31-39
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    • 2010
  • The particle system based on quad mesh has been posed to model cloth. But we need to develop cloth models on triangular meshes because they are widely used. Cloth modeling on triangular mesh is often done in the style of finite element method, which assumes that material is continuous. To preserve the advantages of particle system, e.g. model simplicity and the ease of implementation, even on triangular mesh, this paper proposes a particle system on triangular mesh. The motion of cloth is modeled so that vertices interact with each other via the edges on the triangular mesh. The interactions of vertices are assumed to exist between every adjacent vertex and between every other vertex. The deformation energy due to interaction is constructed based on the theory of elasticity. The contribution of the paper is to implement the advantages of particle system on triangular mesh.

A Study of Teaching Materials for the Professional Development of Elementary School Teachers: The Number of Development Figures of the Triangular Prism and the Quadrangular Prism (초등교사의 전문성 신장을 위한 교재 연구: 삼각기둥과 사각기둥의 전개도의 수)

  • Park, Kyo Sik
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.3
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    • pp.393-406
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    • 2016
  • In the sixth grade mathematics, drawing of development figures of the triangular prism and the quadrangular prism is recommended in terms of the creativity. In this sense, the teacher has the need to check in advance all the possible development figures of the triangular prism and the quadrangular prism before teaching on them. However, previous studies that currently give all the possible development figures of the triangular prism and the quadrangular prism are hard to find. For this reason, in this paper, as a study of teaching materials for the professional development of elementary school teachers, the method of finding all the possible development figures of the triangular prism and all the possible development figures of the quadrangular prism without omissions and overlaps and the number of each of development figures which can be obtained by that method are discussed. Here lengths of the three sides of base planes of the triangular prism are different each other and lengths of the four sides of base planes of the quadrangular prism are different each other. This discussion is needed in terms of a study of teaching materials in order to prepare for predictable questions to ask the number of the possible development figures of the triangular prism and the number of the possible development figures of the quadrangular prism in classes. In addition, through this discussion, this paper presents the development figures of the triangular prism and the development figures of the quadrangular prism without omissions and overlaps. And teachers can take advantage of them for determining the correctness of the development figures drew by students and guiding students to draw the development figures creatively in actual classes.

Generation of Triangular Mesh of Coronary Artery Using Mesh Merging (메쉬 병합을 통한 관상동맥의 삼각 표면 메쉬 모델 생성)

  • Jang, Yeonggul;Kim, Dong Hwan;Jeon, Byunghwan;Han, Dongjin;Shim, Hackjoon;Chang, Hyuk-jae
    • Journal of KIISE
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    • v.43 no.4
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    • pp.419-429
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    • 2016
  • Generating a 3D surface model from coronary artery segmentation helps to not only improve the rendering efficiency but also the diagnostic accuracy by providing physiological informations such as fractional flow reserve using computational fluid dynamics (CFD). This paper proposes a method to generate a triangular surface mesh using vessel structure information acquired with coronary artery segmentation. The marching cube algorithm is a typical method for generating a triangular surface mesh from a segmentation result as bit mask. But it is difficult for methods based on marching cube algorithm to express the lumen of thin, small and winding vessels because the algorithm only works in a three-dimensional (3D) discrete space. The proposed method generates a more accurate triangular surface mesh for each singular vessel using vessel centerlines, normal vectors and lumen diameters estimated during the process of coronary artery segmentation as the input. Then, the meshes that are overlapped due to branching are processed by mesh merging and merged into a coronary mesh.

Motion Estimation using Hierarchical Triangular Mesh and Fast Node Convergence (계층적 삼각형 메쉬를 이용한 움직임 추정과 노드의 수렴 고속화)

  • 이동규;이두수
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.17 no.2
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    • pp.88-94
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    • 2003
  • In this paper, we propose a hierarchical triangular mesh generation method based on the motion information and a fast rude convergence method. From the variance of Image difference we decide the region that subdivision is required and perform the adequate triangulation method that is possible to yield a successive hierarchical triangulation. For fast node convergence, in initial search, we use the refinement method that separate the backgroung and object region and maintain the mesh connection by using the bilinear interpolation. The simulation result demonstrate that proposed triangulation method have performance in PSNR than the conventional BMA or order mesh based method and refinement is appropriate for the case of the mesh size is small.

Triangular Prism Method Based on an Enhanced Sampling Method (개선된 샘플링 방법에 기초한 삼각프리즘법)

  • Jin, Gang-Gyoo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.23 no.2
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    • pp.93-99
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    • 2013
  • Fractal theory has been adopted as an effective tool for modelling complex and irregular natural phenomena facing in the fields of Computer Science, Engineering, Medical, Climatology and so on. In this paper, we presents an algorithm which enhances the performance of the triangular prism method(TPM) which has been widely used for fractal dimension extraction of natural terrains and images. For this, existing sampling methods are analyzed and a new sampling method which takes their merits is proposed. The effectiveness of the proposed algorithm is tested on fractal terrain maps and its performance is compared with that of other methods.

Optimum Return Loss of Right-Angle Triangular Slot Antenna

  • Tangkaphiphop, K.;Anantrasirichai, N.;Wakabayashi, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.466-469
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    • 2004
  • In this paper, we improve the matching impedance of antennas by inserting parasitic slots on the ground plane of right-angle triangular slot antennas. The designed antennas characteristics are analyzed by using Finite Different Time Domain (FDTD) method, the specific design frequency is 10 GHz and match impedance is 50 ohms. Simulation results show that the efficient of return loss and radiation patterns are improved and enhance. In this case, the right-angle triangular slot antennas with parasitic slots have matching impedance better than antennas without parasitic slots.

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