• Title/Summary/Keyword: Delaunay triangulation

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Euclidean Steiner Minimum Tree with Delaunay Triangulation for Efficient Construction of Multimedia Communication Network (멀티미디어 통신네트워크의 효율적 구축을 위한 Delaunay 삼각망 적용 유클리드 스타이너 트리)

  • Kim, In-Bum
    • Proceedings of the Korea Multimedia Society Conference
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    • 2012.05a
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    • pp.417-418
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    • 2012
  • 최소 신장 트리를 이용하여 멀티미디어 통신을 위한 네트워크를 구축하는 것보다 효과적인 유클리드 스타이너 트리 생성과정에서 필연적으로 발생되는 막대한 계산 량과 실행시간 문제를 해결하기 위해 Delaunay 삼각망을 적용하는 방법을 제안한다.

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

  • Kwon E.C.;Shin D.K.;Kim D.Y.
    • Journal of Biomedical Engineering Research
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    • v.21 no.3 s.61
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    • pp.225-231
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    • 2000
  • The Delaunay triangulation. which is one of the surface rendering methods. have been evaluated as a good algorithm which can solve the geometrical connection problems and make high quality images. However this method also have the problem that is the 'non-solid' connection between slices. In this paper, we proposed a new method for the Delaunay triangulation for the surface rendering from 2D medical images in the PC environment. The proposed method was designed to eliminate 'non-solid' tetrahedra. which had no correspondence to the geometric closeness, and used elimination algorithm with modified External Voronoi Skeleton path. This method enabled us to eliminate 'non-solid' tetrahedra without affecting other regions. Thus we could effectively reconstruct the complex shaped objects which were compactly connected with tetrahedra.

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Mosaicking of Fingerprint Minutiae Using Minutiae Constellation (특징점의 별자리 형태를 이용한 지문의 특징점 융합)

  • 홍정표;최태영
    • Proceedings of the IEEK Conference
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    • 2003.11a
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    • pp.297-300
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    • 2003
  • In this paper, fingerprint minutiae mosaicking algorithm using minutiae of fingerprint is proposed. First, minutiae map is generated from minutiae of fingerprint and minutiae constellation is generated from fingerprint minutiae map. Minutiae constellation is constellation-shaped structure generated from Voronoi Diagram and Delaunay Triangulation using information of minutiae. Secondly, common region is detected by similarity of minutiae constellation of fingerprint minutiae map and minutiae map of individual fingerprint image is composed. Consequently composite minutiae map by mosaicking of fingerprint minutiae improve the performance of the fingerprint matching system.

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A Study of Mesh Automatic Generating Method for Cracked Body (균열을 포함한 계의 mesh 자동분할에 관한 연구)

  • Park, S.O.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.2
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    • pp.162-172
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    • 1995
  • In this paper new mesh generation method is proposed for crack propagation analysis based on the finite element method. The main tool of the method is the Delaunay Triangulation, Transfinete element mapping, and it allows the setting of the arbitrary crack-growth increment and the arbitrary crack direction. It has the form of a subroutine, and it is easily introduced as a subroutine for any mesh generation method which is based on the blocking method.

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

  • Park, H.T.;Lee, S.H.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.10
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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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A Study on Error Verification of STL format for Rapid Prototyping System (급속조형시스템을 위한 STL 포멧의 오류 검증에 관한 연구)

  • 최홍태;이석희
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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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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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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Pole Selection Method for Delaunay Triangulation (Delaunay 삼각화 시 Pole 선택 방법)

  • Park, Tae-Jong;Park, Hyeong-Tae;Park, Sang-Chul;Chang, Min-Ho
    • Korean Journal of Computational Design and Engineering
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    • v.12 no.6
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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.

Haptic Display of A Puncture Task with 4-legged 6 DOF Parallel Haptic Device (6자유도 병렬형 햅틱장치를 이용한 구멍뚫기 작업의 햅틱 디스플레이)

  • 김형욱;서일홍
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.41 no.6
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    • pp.1-10
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    • 2004
  • A haptic rendering system is proposed for a puncture task of a virtual vertebra model. To build a mesh model from medical images, Delaunay triangulation is applied and physical models are based on elasticity theory. Also, a redundant actuated 6 DOF parallel type haptic device is designed to display large force and to resolve the singularity problem of parallel type mechanisms. Haptic feeling of puncture task and the performance of the proposed haptic device are tested by two puncture task experiments.

System Developement for STL Error Correction and Shape Modification (STL의 오류수정 및 형상수정 시스템의 개발)

  • Chae, Hee-Chang
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.3 s.96
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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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