• Title/Summary/Keyword: Voronoi Diagram

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A proposal for an approach for meso scale modeling for concrete based on rigid body spring model

  • Zhao, Chao;Shi, Zheng;Zhong, Xingu
    • Computers and Concrete
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    • v.27 no.3
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    • pp.283-295
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    • 2021
  • Existing meso-scale models of concrete need to refine the mesh grids of aggregate and cement mortar, which may greatly reduce the computational efficiency. To overcome this problem, a novel meso-scale modeling strategy, which is based on rigid body spring method and Voronoi diagram, is proposed in this study to establish the meso-scale model of concrete. Firstly, establish numerical aggregate models according to user-defined programs. Circle aggregates are adopted due to their high efficiency in generation and packing process, and the grading of aggregate are determined according to the distribution curve proposed by Full and Thompson; Secondly, extract the centroids of aggregates, and then develop the Voronoi diagram in which aggregate centroids are defined as initial scatters; Finally, establish the rigid body spring model for concrete based on the Voronoi diagram. Aggregates are represented by rigid blocks, and assumed to be unbreakable. Cement mortar is concentrated into the interface between adjacent blocks and represented by two uniform springs. The number of grids is consistent with that of aggregates in specimens, and no mesh-refinement of aggregates and cement mortar is required. The accuracy and efficiency of the proposed modeling strategy are firstly identified by comparing the numerical results with the experimental ones, and then the applicability of the proposed strategy with different volume percentage occupied by aggregates is investigated.

Regrouping Service Sites: a Genetic Approach using a Voronoi Diagram (서비스 위치 그룹핑을 위한 보로노이 다이어그램 기반의 유전자알고리듬)

  • Seo, Jeong-Yeon;Park, Sang-Min;Jeong, In-Jae;Kim, Deok-Soo
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.05a
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    • pp.179-187
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    • 2005
  • In this paper, we consider the problem of regrouping a number of service sites into a smaller number of service sites called centers. Each service site is represented as a point in the plane and has an associated value of service demand. We aim to group the sites so that each group has the balanced service demand and the sum of distances from the sites in the group to their corresponding center is minimized. To solve this problem, we propose a hybrid genetic algorithm that is combined with Voronoi diagrams. We provide a variety of experimental results by changing the weights of the two factors: service demands and distances. Our hybrid algorithm finds better solutions in a shorter computation time in comparison with a pure genetic algorithm.

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Autonomous Navigation of Nonholonomic Mobile Robots Using Generalized Voronoi Diagrams (일반화된 보로노이 다이어그램을 이용한 논홀로노믹 모바일 로봇의 자율 주행)

  • Shaoa, Minglei;Shin, Dongik;Shin, Kyoosik
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.24 no.1
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    • pp.98-102
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    • 2015
  • This paper proposes an autonomous navigation method for a nonholonomic mobile robot, based on the generalized Voronoi diagram (GVD). We define the look-ahead point for a given motion constraint to determine the direction of motion, which solves the problem of a minimum turning radius for the real nonholonomic mobile robot. This method can be used to direct the robot to explore an unknown environment and construct smooth feedback curves for the nonholonomic robot. As the trajectories can be smoothed, the position of the robot can be stabilized in the plane. The simulation results are presented to verify the performance of the proposed methods for the nonholonomic mobile robot. Furthermore, this approach is worth drawing on the experience of any other mobile robots.

A Study on Medial Surface Extraction from Point Samples on 3D Closed Surfaces in Shell Shapes (셸 형상의 3차원 폐곡면상에서 추출된 점데이터군으로부터 중립곡면 계산에 관한 연구)

  • Woo, Hyuck-Je
    • Korean Journal of Computational Design and Engineering
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    • v.15 no.1
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    • pp.33-42
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    • 2010
  • In this study, new medial surface calculation methods using Voronoi diagrams are investigated for the point samples extracted on closed surface models. The medial surface is defined by the closure of all points having more than one closest point on the shape boundary. It is a one of essential geometric information in 3D and can be used in many areas such as 3D shape analysis, dimension reduction, freeform shape deformation, image processing, computer vision, FEM analysis, etc. In industrial parts, the idealized solid parts and shell shapes including sharp edges and vertices are frequently used. Other medial surface extraction methods using Voronoi diagram have inherent separation and branch problems, so that they are not appropriate to the sharp edged objects and have difficulties to be applied to industrial parts. In addition, the branched surfaces on sharp edges in shell shapes should be eliminated to obtain representative medial shapes. In order to avoid separation and branch problems, the new approach by analyzing the shapes and specially sampling on surfaces has been developed.

Presentation Control System using Vision Based Hand-Gesture Recognition (Vision 기반 손동작 인식을 활용한 프레젠테이션 제어 시스템)

  • Lim, Kyoung-Jin;Kim, Eui-Jeong
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2010.10a
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    • pp.281-284
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    • 2010
  • In this paper, we present Hand-gesture recognition for actual computing into color images from camera. Color images are binarization and labeling by using the YCbCr Color model. Respectively label area seeks the center point of the hand from to search Maximum Inscribed Circle which applies Voronoi-Diagram. This time, searched maximum circle and will analyze the elliptic ingredient which is contiguous so a hand territory will be able to extract. we present the presentation contral system using elliptic element and Maximum Inscribed Circle. This algorithm is to recognize the various environmental problems in the hand gesture recognition in the background objects with similar colors has the advantage that can be effectively eliminated.

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A Design Method for Error Backpropagation neural networks using Voronoi Diagram (보로노이 공간분류를 이용한 오류 역전파 신경망의 설계방법)

  • 김홍기
    • Journal of the Korean Institute of Intelligent Systems
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    • v.9 no.5
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    • pp.490-495
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    • 1999
  • In this paper. a learning method VoD-EBP for neural networks is proposed, which learn patterns by error back propagation. Based on Voronoi diagram, the method initializes the weights of the neural networks systematically, wh~ch results in faster learning speed and alleviated local optimum problem. The method also shows better the reliability of the design of neural network because proper number of hidden nodes are determined from the analysis of Voronoi diagram. For testing the performance, this paper shows the results of solving the XOR problem and the parity problem. The results were showed faster learning speed than ordinary error back propagation algorithm. In solving the problem, local optimum problems have not been observed.

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A Voronoi Tabu Search Algorithm for the Capacitated Vehicle Routing Problem (차량경로 문제에 관한 보로노이 다이어그램 기반 타부서치 알고리듬)

  • Kwon, Yong-Ju;Kim, Jun-Gyu;Seo, Jeongyeon;Lee, Dong-Ho;Kim, Deok-Soo
    • Journal of Korean Institute of Industrial Engineers
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    • v.33 no.4
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    • pp.469-479
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    • 2007
  • This paper focuses on the capacitated vehicle routing problem that determines the routes of vehicles in such a way that each customer must be visited exactly once by one vehicle starting and terminating at the depot while the vehicle capacity and the travel time constraints must be satisfied. The objective is to minimize the total traveling cost. Due to the complexity of the problem, we suggest a tabu search algorithm that combines the features of the existing search heuristics. In particular, our algorithm incorporates the neighborhood reduction method using the proximity information of the Voronoi diagram corresponding to each problem instance. To show the performance of the Voronoi tabu search algorithm suggested in this paper, computational experiments are done on the benchmark problems and the test results are reported.

Systolic Arrays for Constructing Static and Dynamic Voronoi Diagrams (두 형의 Voronoi Diagram 구축을 위한 Systolic Arrays)

  • O, Seong-Jun
    • ETRI Journal
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    • v.10 no.3
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    • pp.125-140
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    • 1988
  • Computational geometry has wide applications in pattern recognition, image processing, VLSI design, and computer graphics. Voronoi diagrams in computational geometry possess many important properites which are related to other geometric structures of a set of point. In this pater the design of systolic algorithms for the static and the dynamic Voronoi diagrams is considered. The major motivation for developing the systolic architecture is for VLSI implementation. A new systematic transform technique for designing systolic arrays, in particular, for the problem in computational geometry has been proposed. Following this procedure, a type T systolic array architecture and associated systolic algorithms have been designed for constructing Voronoi diagrams. The functions of the cells in the array are also specified. The resulting systolic array achieves the maximal throughput with O(n) computational complexity.

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Topological SLAM Based on Voronoi Diagram and Extended Kalman Filter

  • Choi, Chang-Hyuk;Song, Jae-Bok;Kim, Mun-Sang;Chung, Woo-Jin
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.174-179
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    • 2003
  • Through the simultaneous localization and map building (SLAM) technique, a robot can create maps about its unknown environment while it continuously localizes its position. Grid maps and feature maps have been widely used for SLAM together with application of probability methods and POMDP (partially observed Markov decision process). But this approach based on grid maps suffers from enormous computational burden. Topological maps, however, have drawn more attention these days because they are compact, provide natural interfaces, and are easily applicable to path planning in comparison with grid maps. Some topological SLAM techniques like GVG (generalized Voronoi diagram) were introduced, but it enables the robot to decide only whether the current position is part of GVG branch or not in the GVG algorithm. In this paper, therefore, to overcome these problems, we present a method for updating a global topological map from the local topological maps. These local topological maps are created through a labeled Voronoi diagram algorithm from the local grid map built based on the sensor information at the current robot position. And the nodes of a local topological map can be utilized as the features of the environment because it is robust in light of visibility problem. The geometric information of the feature is applied to the extended Kalman filter and the SLAM in the indoor environment is accomplished. A series of simulations have been conducted using a two-wheeled mobile robot equipped with a laser scanner. It is shown that the proposed scheme can be applied relatively well.

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