• Title/Summary/Keyword: Delaunay triangulation

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A Study on the Extraction of Slope Surface Orientation using LIDAR with respect to Triangulation Method and Sampling on the Point Cloud (LIDAR를 이용한 삼차원 점군 데이터의 삼각망 구성 방법 및 샘플링에 따른 암반 불연속면 방향 검출에 관한 연구)

  • Lee, Sudeuk;Jeon, Seokwon
    • Tunnel and Underground Space
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    • v.26 no.1
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    • pp.46-58
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    • 2016
  • In this study, a LIDAR laser scanner was used to scan a rock slope around Mt. Gwanak and to produce point cloud from which directional information of rock joint surfaces shall be extracted. It was analyzed using two different algorithms, i.e. Ball Pivoting and Wrap algorithm, and four sampling intervals, i.e. raw, 2, 5, and 10 cm. The results of Fuzzy K-mean clustering were analyzed on the stereonet. As a result, the Ball Pivoting and Wrap algorithms were considered suitable for extraction of rock surface orientation. In the case of 5 cm sampling interval, both triangulation algorithms extracted the most number of the patch and patched area.

Tile Mosaics Preserving Details - 2 Layered Tile Mosaics (세부 묘사를 유지하는 타일 모자이크 - 두 층 타일 모자이크)

  • Kang, Dong-Wann;Yoon, Kyung-Hyun
    • 한국HCI학회:학술대회논문집
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    • 2006.02a
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    • pp.800-806
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    • 2006
  • 최근, 컴퓨터 사이언스 분야에서 모자이크에 대한 다양한 연구들이 이뤄지고 있지만, 세부 묘사를 유지하려는 관점에서의 접근은 부족한 편이다. 본 논문은 원 영상의 세부 묘사를 유지하는 타일 모자이크 방법을 제안한다. 이 방법은 타일간의 빈 공간을 제거하기 위한 겹쳐진 타일의 사용을 통해 구현된다. 본 논문에서 제시한 방법은 다음 세 단계로 구성된다. 첫째, 에지 회피 기법이 적용된 무게중심 보로노이 다이어그램(CVD:Centroidal Voronoi Diagram)을 통해 메인 타일의 위치를 얻는다. 둘째, 메인 타일들의 위치에 딜로니 삼각형화(Delaunay Triangulation)를 적용해 서브 타일의 위치를 계산한다. 셋째, 타일간의 관계를 고려해 타일의 크기와 방향성을 구한다. 위의 과정을 통해 타일 간의 빈 공간이 최소화되어 세부 묘사가 강화된 모자이크 영상을 얻는다.

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Geometrically Nonlinear Analysis using Petrov-Galerkin Natural Element Method Natural Element Method (페트로프-갤러킨 자연요소법에 의한 기하하적 비선형 해석)

  • 이홍우;조진래
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.333-340
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    • 2004
  • This paper deals with geometric nonlinear analyses using a new meshfree technique which improves the numerical integration accuracy. The new method called the Petrov-Galerkin natural element method (PGNEM) 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 method (BGNEM). But, unlike BGNEM, the test shape function is differently chosen from the trial shape function. In the linear static analysis, it is ensured that the numerical integration error of the PGNEM is remarkably reduced. In this paper, the PGNEM is applied to large deformation problems, and the accuracy of the proposed numerical technique is verified through the several examples.

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A Study on the Adaptive Refinement Method for the Stress Analysis of the Meshfree Method (적응적 세분화 방법을 이용한 무요소법의 응력 해석에 관한 연구)

  • Han, Sang-Eul;Kang, Noh-Won;Joo, Jung-Sik
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.8-13
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    • 2008
  • In this study, an adaptive node generation procedure in the radial point interpolation method is proposed. Since we set the initial configuration of nodes by subdivision of background cell, abrupt changes of inter-nodal distance between higher and lower error regions are unavoidable. This unpreferable nodal spacing induces additional errors. To obtain the smoothy nodal configuration, it's regenerated by local Delaunay triangulation algorithm This technique was originally developed to generate a set of well-shaped triangles and tetrahedra. To demonstrate the performance of proposed scheme, the results of making optimal nodal configuration with adaptive refinement method are investigated for stress concentration problems.

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Stereo Visual Odometry without Relying on RANSAC for the Measurement of Vehicle Motion (차량의 모션계측을 위한 RANSAC 의존 없는 스테레오 영상 거리계)

  • Song, Gwang-Yul;Lee, Joon-Woong
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.4
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    • pp.321-329
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    • 2015
  • This paper addresses a new algorithm for a stereo visual odometry to measure the ego-motion of a vehicle. The new algorithm introduces an inlier grouping method based on Delaunay triangulation and vanishing point computation. Most visual odometry algorithms rely on RANSAC in choosing inliers. Those algorithms fluctuate largely in processing time between images and have different accuracy depending on the iteration number and the level of outliers. On the other hand, the new approach reduces the fluctuation in the processing time while providing accuracy corresponding to the RANSAC-based approaches.

An Algorithm of Automatic 2D Quadrilateral Mesh Generation with the Line Constraints (라인(line) 제약조건을 가지는 2차원 사각 메쉬의 자동 생성 알고리즘)

  • 김인일;이규열;조두연;김태완
    • Korean Journal of Computational Design and Engineering
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    • v.8 no.1
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    • pp.10-18
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    • 2003
  • FEM (Finite Element Method) is a fundamental numerical analysis technique in wide spread use in engineering application. As the solving time occupies small portion of entire FEM analysis time because of development of hardware, the relative lime to the whole analysis time to make mesh mod-els is growing. In particular, in the case of stiffeners such as features attached to plate in ship structure, the line constraints are imposed on mesh model together with other constraints such as holes. To auto-matically generate two dimensional quadrilateral mesh with the line constraints, an algorithm is pro-posed based on the constrained Delaunay triangulation and Q-Morph algorithm in which the line constraints are not considered. The performance of the proposed algorithm is evaluated. And some numerical results of our proposed algorithm ate presented.

Hierarchical Merging of Adjacent Subtrees with Superpixels Using Delaunay Triangulation (들로네 삼각화를 활용한 계층적 슈퍼픽셀 통합)

  • Baek, Eu-Tteum;Ho, Yo-Sung
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2016.06a
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    • pp.198-199
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    • 2016
  • 컴퓨터 비젼 분야에서 이미지 세그멘테이션은 객체 분리, 객체 추적, 의학 영상처리 등 다양한 분야에서 사용된다. 이전의 이미지 세그멘테이션은 사람의 개입이 없이 정확한 객체를 분리하지 못한다는 단점이 있다. 본 논문은 인접한 슈퍼픽셀을 트리를 활용하여 개층적으로 슈퍼픽셀을 통합하는 새로운 세그멘테이션 방법을 소개한다. 제안한 알고리즘을 수행하기 위해 기존의 슈퍼 픽셀 알고리즘을 사용하여, 각 슈퍼픽셀의 센터를 노드로 설정하고 들로네 삼각화를 수행한다. 각각의 인접한 노드는 순차적으로 유사도 측정하여 슈퍼픽셀을 통합한다. 실험 결과를 통해 제안한 방법이 과분할 세그멘테이션을 제거하였으며 영상의 중요한 정보를 잘 보존하는 것을 확인하였다.

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Development of Slicing Algorithm for Rapid Prototyping Building about Big Sized Objects (대형물의 RP 작업을 위한 절단 알고리즘의 개발)

  • 채희창;강희용;유상훈;이승현;문홍렬
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.11 no.2
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    • pp.30-35
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    • 2002
  • Nowadays, as the development period of new products becomes shorter and consumer's requirement is more various, the importance of Rapid Prototyping Technology has been rapidly increased. Rapid Prototyping makes prototypes or frictional parts directly using the 3D CAD data. But RP machines can make prototypes in limit size. For making large size prototype, we slice solid which is made of STL file, and then glue sliced solid. And if contact area of part is small, union solid will be easily destroyed for going down of adhesion. So we need to expand contact area, 1 suggest making a section into stair shape. This paper is concerned with slicing solid on STL file and improving on adhesion.

Profile Design System of Agricultural Irrigation Facility using Geographic Data (지형정보를 이용한 수리구조물 종.횡단 설계시스템)

  • Park, Mee-Jeong;Yoon, Seong-Soo;Lee, Jeong-Jae
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 2001.10a
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    • pp.246-251
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    • 2001
  • This study is aimed to develop system that can export height automatically with Hierarchical Delaunay Triangulation and finally provide profile of hydraulic channel using 3D terrain geometry model. In this study, by using the object-oriented technique, we developed the traverse and cross-section design system of agricultural facilities, which maintain a consistency in the irrigation design process. This system can design the traverse and cross-section profile for the line type facilities. The results of this study, as for the design based on geography, after carrying out the modeling by using TIN of which employs Delaunays algorithm, it was found that the latitudinal design of the facility is feasible. And, as for the formulation of TIN, we obtained more precise result from using contour, stream, and road data rather than using the contour by itself.

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Tetrahedral Mesh Generation by Using the Advancing-Front Method and the Optimal Surface Triangular Mesh Generation Technique (전진경계기법과 최적 표면 삼각형 요소망 생성 기법을 이용한 사면체 요소망의 생성)

  • Lee M.C.;Joun M.S.
    • Korean Journal of Computational Design and Engineering
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    • v.11 no.2
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    • pp.138-147
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    • 2006
  • A systematic approach to tetrahedral element or mesh generation, based on an advancing-front method and an optimal triangular mesh generation technique on the surface, is presented in this paper. The possible internal nodes are obtained by the octree-decomposition scheme. The initial tetrahedral mesh system is constructed by the advancing-front method and then it is improved by the quality improvement processes including mesh swapping and nodal smoothing. The approach is evaluated by investigating the normalized length, the normalized volume, the dihedral angle and the normalized quality