• Title/Summary/Keyword: Triangular Method

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Efficient Simplification of a Height Map (지형 데이터의 효율적 단순화)

  • Park, Sang-Chul;Kim, Jung-Hoon;Chung, Yong-Ho
    • Korean Journal of Computational Design and Engineering
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    • v.17 no.2
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    • pp.132-139
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    • 2012
  • Presented in the paper is a procedure to extract simplified triangular mesh from a height map (terrain data). The proposed algorithm works directly on a height map that extracts a simplified triangular mesh. For the simplification, the paper employs an iterative method of edge contractions. To determine an edge to be contracted, the contraction cost of an edge is evaluated through the QEM method. Normally, an edge contraction will remove two triangles sharing the edge. Although the edge contraction can be implemented easily on a triangular mesh, it is not viable to implement the operation on a height map due to the irregular topology. To handle the irregular topology during the simplification procedure, a new algorithm is introduced.

PARAMETRIC INVESTIGATIONS ON THE DOUBLE DIFFUSIVE CONVECTION IN TRIANGULAR CAVITY

  • Kwon, SunJoo;Oh, SeYoung;Yun, Jae Heon;Chung, Sei-Young
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.4
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    • pp.419-432
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    • 2007
  • Double-diffusive convection inside a triangular porous cavity is studied numerically. Galerkin finite element method is adopted to derive the discrete form of the governing differential equations. The first-order backward Euler scheme is used for temporal discretization with the second-order Adams-Bashforth scheme for the convection terms in the energy and species conservation equations. The Boussinesq-Oberbeck approximation is used to calculate the density dependence on the temperature and concentration fields. A parametric study is performed with the Lewis number, the Rayleigh number, the buoyancy ratio, and the shape of the triangle. The effect of gravity orientation is considered also. Results obtained include the flow, temperature, and concentration fields. The differences induced by varying physical parameters are analyzed and discussed. It is found that the heat transfer rate is sensitive to the shape of the triangles. For the given geometries, buoyancy ratio and Rayleigh numbers are the dominating parameters controlling the heat transfer.

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Shape Deformation of Triangular Net (삼각망의 형상 변형)

  • Yoo, Dong-Jin
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.11
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    • pp.134-143
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    • 2007
  • A new approach based on mean value coordinate combined with Laplacian coordinate is proposed for shape deformation of a large polygon model composed of triangular net. In the method, the spherical mean value coordinates for closed control meshes is introduced to describe a vertex in the triangle meshes to be deformed. Furthermore, the well known quardratic least square method for the Laplacian coordinates is employed in order to deform the control meshes. Because the mean value coordinates are continuous and smooth on the interior of control meshes, deforming operation of control meshes change the shape of polygon model while preserving the intrinsic surface detail. The effectiveness and validity of this novel approach was demonstrated by using it to deform large and complex polygon models with arbitrary topologies.

Two-pupil synthesis of optical transfer function in the modified triangular interferometer (변형 삼각간섭계에 있어서 광전달함수의 two-pupil 합성)

  • 김수길
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.18 no.2
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    • pp.29-35
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    • 2004
  • We synthesizd and analyzed the optical transfer function(OTF) of the modified triangular interferometer(MTI) using two-pupil synthesis method. In the case of MTI, we demonstrated that we can obtain bipolar functions and complex hologram without bias by two-pupil synthesis method.

A Real-Time Measurement of Slug Flow Using Electromagnetic Flowmeter with High frequency Triangular Excitation (고주파 삼각파 여자법을 사용한 실시간 슬러그 유동 측정용 전자기유량계)

  • Ahn, Yeh-Chan;Cha, Jae-Eun;Kim, Moo-Hwan
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.11
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    • pp.1570-1577
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    • 2002
  • In order to investigate the characteristics of two-phase slug flow, an electromagnetic flowmeter with 240Hz triangular AC excitation was designed and manufactured. The signals and noise from the flowmeter were obtained, and analyzed in comparison with the observations with a high speed CCD camera. The uncertainty of the flowmeter under single-phase flow was $\pm$ 2.24% in real-time. For two-phase slug flow, electromagnetic flowmeter provided real-time simultaneous measurements of the mean film velocity around Taylor bubble and the relative location and the length of the bubble. Besides, it is an easier and cheaper method for measuring mean film velocity than others such as photochromic dye activation method or particle image velocimetry.

Two new triangular finite elements containing stable open cracks

  • Rezaiee-Pajand, Mohammad;Gharaei-Moghaddam, Nima
    • Structural Engineering and Mechanics
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    • v.65 no.1
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    • pp.99-110
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    • 2018
  • The focus of this paper is on the elements with stable open cracks. To analyze plane problems, two triangular elements with three and six nodes are formulated using force method. Flexibility matrices of the elements are derived by combining the non-cracked flexibility and the additional one due to crack, which is computed by utilizing the local flexibility method. In order to compute the flexibility matrix of the intact element, a basic coordinate system without rigid body motions is required. In this paper, the basic system origin is located at the crack center and one of its axis coincides with the crack surfaces. This selection makes it possible to formulate elements with inclined cracks. It is obvious that the ability of the suggested elements in calculating accurate natural frequencies for cracked structures, make them applicable for vibration-based crack detection.

Uniform Scallop Height Tool Path Generation Using CL Surface Deformation (CL면 변형 방법을 이용한 균일한 조도의 공구 경로 생성)

  • Yang Min-Yang;Kim Su-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.6 s.237
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    • pp.895-903
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    • 2005
  • In this paper, we present a cutter location (CL) surface deformation approach for constant scallop height tool path generation from triangular mesh. The triangular mesh model of the stereo lithography (STL) format is offset to the CL surface and then deformed in accordance with the deformation vectors, which are computed by the slope and the curvature of the CL surface. In addition, the tool path which is computed by slicing the deformed CL surface is inversely deformed by those same deformation vectors to a tool path with a constant scallop height. The proposed method is implemented, and a tool path generated by the proposed method is tested by simulation and by numerical control (NC) machining. The scallop height was found to be constant over the entire machined surface, demonstrating much better quality than that of mesh slicing, under the same constraints for machining time.

Machining Tool Path Generation for Point Set

  • Park, Se-Youn;Shin, Ha-Yong
    • International Journal of CAD/CAM
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    • v.8 no.1
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    • pp.45-53
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    • 2009
  • As the point sampling technology evolves rapidly, there has been increasing need in generating tool path from dense point set without creating intermediate models such as triangular meshes or surfaces. In this paper, we present a new tool path generation method from point set using Euclidean distance fields based on Algebraic Point Set Surfaces (APSS). Once an Euclidean distance field from the target shape is obtained, it is fairly easy to generate tool paths. In order to compute the distance from a point in the 3D space to the point set, we locally fit an algebraic sphere using moving least square method (MLS) for accurate and simple calculation. This process is repeated until it converges. The main advantages of our approach are : (1) tool paths are computed directly from point set without making triangular mesh or surfaces and their offsets, and (2) we do not have to worry about no local interference at concave region compared to the other methods using triangular mesh or surface model. Experimental results show that our approach can generate accurate enough tool paths from a point set in a robust manner and efficiently.

Fuzzy Classification Method for Processing Incomplete Dataset

  • Woo, Young-Woon;Lee, Kwang-Eui;Han, Soo-Whan
    • Journal of information and communication convergence engineering
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    • v.8 no.4
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    • pp.383-386
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    • 2010
  • Pattern classification is one of the most important topics for machine learning research fields. However incomplete data appear frequently in real world problems and also show low learning rate in classification models. There have been many researches for handling such incomplete data, but most of the researches are focusing on training stages. In this paper, we proposed two classification methods for incomplete data using triangular shaped fuzzy membership functions. In the proposed methods, missing data in incomplete feature vectors are inferred, learned and applied to the proposed classifier using triangular shaped fuzzy membership functions. In the experiment, we verified that the proposed methods show higher classification rate than a conventional method.

Calculation of mobile charge density in ferroelectric films using TVS(Triangular Voltage (TVS법을 이용한 강유전체 박막내에서의 mobile charge밀도 산출)

  • 김용성;정순원;김채규;김진규;이남열;김광호;유병곤;이원재;유인규
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1999.11a
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    • pp.433-436
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    • 1999
  • In this paper we applied TVS(Triangular Voltage Sweep) method to calculate the mobile ionic charge densities in some ferroelectric thin films. During the measurement, the temperature of specimens were maintained at 20$0^{\circ}C$. By this method, the amount of mobile ionic charge Q$_{m}$ and mobile ionic charge density N$_{m}$ of a MFIS structure were calculated 3.5 [pC] and about 4.3$\times$10$^{11}$ [ions/cm$^2$], respectively. In order to successful TVS measurement, the gate leakage current density of films must be low 10$^{-9}$ (A/cm$^2$) order.der.

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