• 제목/요약/키워드: Delaunay triangulation method

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Delaunay Triangulation의 폴리건 검색속도 개선을 위한 T-Search와 Dynamic-Window 개념의 결합 (Integration of T-Search and Dynamic-Window Concept for Accelerated Searching Speed in Delaunay Triangulation)

  • 강현주;윤석준;공지영;김강수
    • 대한기계학회논문집A
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    • 제27권5호
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    • pp.681-687
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    • 2003
  • Terrain surfaces have to be modeled in very detail and wheel-surface contacting geometry must be well defined in order to obtain proper ground-reaction and friction forces fur realistic simulation of off-road vehicles. Delaunay triangulation is one of the most widely used methods in modeling 3-dimensional terrain surfaces, and the T-search is a relevant algorithm for searching resulting triangular polygons. The T-search method searches polygons in a successive order and may not allow real-time computation of off-road vehicle dynamics if the terrain is modeled with many polygons, depending on the computer performance used in the simulation. The dynamic T-search, which is proposed in this paper, combines conventional T-search and the concept of the dynmaic-window search which uses reduced searching windows or sets of triangular surface polygons at each frame by taking advantage of the information regarding dynamic charactereistics of a simulated vehicle. Numerical tests show improvement of searching speeds by about 5% for randomly distributed triangles. For continuous search following a vehicle path, which occurs in actual vehicle simulation, the searching speed becomes 4 times faster.

수정된 EVS를 이용한 Delaunay 삼각형 재구성에 관한 연구 (A Study on the Delaunay Triangulation Reconstruction using the Modified EVS)

  • 김동윤;신동규;김동윤
    • 대한의용생체공학회:의공학회지
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    • 제21권3호
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    • pp.225-231
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    • 2000
  • 표면에 의한 3차원 재구성 방법 중 Delaunay 삼각형 분할 방법은 기존의 기하학적 연결성 문제를 해결하고 영상의 질도 높은 것으로 평가받고 있다. 그러나 이 방법은 윤곽선의 위치에 따른 비 입체적 연결성 문제를 갖고 있다. 본 논문에서는 PC환경에서 이러한 문제를 개선한 Delaunay 삼각형 분할 재구성 방법을 제안하였다. 제안된 방법은 기존의 방법에서 나타나는 '비 입체(non-solid)‘ 사면체의 효과적인 처리를 위하여 수정된 External Voronoi Skeleton(EVS)을 이용한 제거 알고리즘을 사용하였다. 이를 적용한 결과. 원 객체 형태에 영향을 주지 않으면서 '비 입체' 사면체만이 제거됨을 확인할 수 있었다. 그리고 재구성된 영상의 표면이 사면체로 촘촘하게 연결되므로 복잡한 형태를 갖는 입체의 표면을 효과적으로 재구성할 수 있었다.

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Delaunay 삼각화 시 Pole 선택 방법 (Pole Selection Method for Delaunay Triangulation)

  • 박태종;박형태;박상철;장민호
    • 한국CDE학회논문집
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    • 제12권6호
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    • pp.422-428
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    • 2007
  • Presented in the paper is a procedure to reconstruct a triangular mesh from a point cloud. Although, the proposed procedure is based on the well-known Voronoi diagram approach, it introduces a selection method of 'Pole' to improve the quality of resulting mesh. To select the appropriate Poles for high quality of Triangular mesh, the patterns that the Poles affect to the mesh quality are carefully analyzed. It is possible to improve the mesh quality by controlling the selection method of 'Pole' in terms of distance limit. The initial mesh obtained by the proposed procedure may include invalid triangles. To relieve this problem, a slicing method is proposed to remove invalid triangles from the initial mesh. At last, correcting technique of normal vectors of generated mesh is introduced.

공간이웃정보를 고려한 공간회귀분석 (A study on the spatial neighborhood in spatial regression analysis)

  • 김수정
    • Journal of the Korean Data and Information Science Society
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    • 제28권3호
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    • pp.505-513
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    • 2017
  • 최근, 더욱 상세하고 정확한 추정 결과를 위해 소지역추정(small area estimation; SAE)의 연구가 많이 진행되고 있다. 그 중 공간회귀모형 (spatial regression model)을 이용한 방법이 주를 이루고 있는데 이를 사용하기 위해서는 공간이웃 (spatial neighbor)의 정의가 필요하다. 본 연구에서는 공간이웃을 정의하는 방법으로 도로네 삼각망 (Delaunay triangulation; DT)을 소개하고 k-최근접 (k-nearest neighbor; KNN)과 비교하여 분석한다. 두 가지 공간이웃을 정의하는 방법중에서 어떤 방법으로 이웃을 정의하는 것이 효율적인지 알아보기 위해 시뮬레이션을 실시하였고, 지가 (land price)데이터를 이용하여 실 데이터를 분석하였다.

급속조형 시스템을 위한 STL 포맷의 오류 검증에 관한 연구 (A Study on Error Verification of STL Format for Rapid Prototyping System)

  • Park, H.T.;Lee, S.H.
    • 한국정밀공학회지
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    • 제13권10호
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    • pp.46-55
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    • 1996
  • As industrial standard data, the STL format which approximates three dimensional CAD model to triangular facets, is used for RP(Rapid Prototyping) system in recent days. Because most RP system take the only form of two dimensional line segments as an input stream inspite of its imperfectness while converting into STL format, a CAD model is converted into a standard industrial format which is composed of many triangular facets. The error verifying process is composed of four main steps, and these are 1) Remove facets with two or more vertices equal to each other. 2) Fix overlapping error such as more than three facets adjacent to anedge. 3) Fill holes in the mesh by using Delaunay triangulation method. 4) Correct the wrong direction and normal vectors. This paper is concerned with serching the mentioned errors in advance and modifying them.

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

  • 김형석;정현교;이기식;한송엽
    • 대한전기학회논문지
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    • 제37권12호
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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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STL의 오류수정 및 형상수정 시스템의 개발 (System Developement for STL Error Correction and Shape Modification)

  • 채희창
    • 한국정밀공학회지
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    • 제16권3호통권96호
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    • pp.53-61
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    • 1999
  • STL has several errors such as orientation error, hole error, and acute triangle error on being translated from CAD software. These errors should be corrected before using in Rapid Prototyping. So the software is necessary to correct errors. In this study, STL Editor which is a system for STL error correction and shape modification is developed and contains following characteristics. 1.Apply the triangle based data st겨cture. 2.Use the graphic user interface for easy work. 3.Use the Diet method to reduce data size. 4.Use the Delaunay triangulation method to enhance the quality of STL. 5.Modify the STL errors manually.

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급속조형시스템을 위한 STL 포멧의 오류 검증에 관한 연구 (A Study on Error Verification of STL format for Rapid Prototyping System)

  • 최홍태;이석희
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1996년도 춘계학술대회 논문집
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    • pp.597-601
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    • 1996
  • Nowadays, the STL format, industrial standard data, which approximates three dimensional CAD model to triangular facets, is used for RP(Rapid Prototyping) system. Because most RP machine is accpted to only two dimensional line segments, but some STL translators are sometimes poorly implemented. The error verifying process is as follows. 1) Remove facets with two or more vertices equal to each other. 2) Fix overlapping error such as more than three facets adjacent to an edge. 3) Fill holes in the mesh by using Delaunay triangulation method. 4) Repair wrong direction and value of normal vectors. This paper is concerned with searching the mentioned errors in advance and modifying them.

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페트로프-갤러킨 개념에 기초한 자연요소법에 관한 연구 (Study on the Natural Element Method using Petrov-Galerkin Concepts)

  • 이홍우;조진래
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1274-1279
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    • 2003
  • In this paper, a new meshfree technique which improves the numerical integration accuracy is introduced. This new method called the Petrov-Galerkin natural element(PG-NE) is based on the Voronoi diagram and the Delaunay triangulation which is based on the same concept used for conventional natural element method called the Bubnov-Galerkin natural element(BG-NE). But, unlike BG-NE method, the test shape function is differently chosen from the trial shape function. The proposed technique ensures that the numerical integration error is remarkably reduced.

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영역기반 해쉬구조를 이용한 효율적 삼각형 자동 요소망 생성 알고리듬 개발 (An Efficient Triangular Mesh Generation Algorithm using Domain-wise Hash Structure)

  • 김태주;조진연
    • 한국항공우주학회지
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    • 제32권9호
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    • pp.41-48
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    • 2004
  • 본 논문에서는 빠른 요소망 자료 처리를 위해 영역기반 해쉬구조를 개발하고 이에 기반한 효율적 삼각형 자동 요소망 생성 알고리듬을 제안하였다. 제안된 알고리듬에서는 신속하게 최적의 절점을 생성하고 삼각형 생성시 예외처리를 줄일 수 있도록 Advancing layer method 와 Delaunay 삼각화 방법이 함께 이용되었다. 본 알고리듬의 성능을 검증하기 위하여 개발된 2차원 자동 요소망 생성 프로그램을 이용하여 볼록한 모델, 오목한 모델 및 복잡한 형태의 모델에 대한 요소망 생성 테스트를 수행하고, 그 성능을 상용 소프트웨어와 비교하였다.