• Title/Summary/Keyword: Polygon search problem

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A Simple Polygon Search Algorithm

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.21 no.5
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    • pp.41-47
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    • 2016
  • This paper considers simple polygon search problem. How many searchers find a mobile intruder that is arbitrarily faster than the searcher within polygon art gallery? This paper uses the visibility graph that is connected with edges for mutually visible vertices. Given visibility graph, we select vertex u that is conjunction ${\Delta}(G)$ in $N_G(v)$ for $d_G(v){\leq}4$. We decide 1-searchable if $1{\leq}{\mid}u{\mid}{\leq}2$ and 2-searchable if ${\mid}u{\mid}{\geq}3$. We also present searcher's shortest path. This algorithm is verified by varies 1 or 2-searchable polygons.

A Study and Implementation of the Heuristic Autonesting Algorithm in the 2 Dimension Space (2차원 공간에서의 휴리스틱 배치 알고리즘 및 구현에 관한 연구)

  • 양성모;임성국;고석호;김현정;한관희
    • Korean Journal of Computational Design and Engineering
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    • v.4 no.3
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    • pp.259-268
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    • 1999
  • In order to reduce the cost of product and save the processing time, optimal nesting of two-dimensional part is an important application in number of industries like shipbuilding and garment making. There have been many studies on finding the optimal solution of two-dimensional nesting. The problem of two-dimensional nesting has a non-deterministic characteristic and there have been various attempts to solve the problem by reducing the size of problem rather than solving the problem as a whole. Heuristic method and linearlization are often used to find an optimal solution of the problem. In this paper, theoretical and practical nesting algorithm for rectangular, circular and irregular shape of two-dimensional parts is proposed. Both No-Fit-Polygon and Minkowski-Sum are used for solving the overlapping problem of two parts and the dynamic programming technique is used for reducing the number search spae in order to find an optimal solution. Also, nesting designer's expertise is complied into the proposed algorithm to supplement the heuristic method.

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Terminal-pair reliability using flow augmenting path search algorithm

  • Choi, Moon-Soo;Jun, Chi-Hyuck
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1993.04a
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    • pp.136-145
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    • 1993
  • This paper considers a reliability problem as a special type of flow problem and presents an algorithm to evaluate the exact 2-terminal reliability of networks by using a backtracking technique. It employs a polygon-to-chain reduction in addition to series and parallel reduction techniques to reduce execution time. In comparisons, it presents a much better performance than other algorithms known to us. We also propose a methodology to apply the algorithm for approximation of the system reliability.

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Approximation Vertex Search of Polygon-based Shape Coding by the Type of Distortion Patterns (왜곡 패턴 유형에 의한 다각형 기반 형상 부호화의 근사 정점 탐색)

  • Seo Jeong-Gu;Kwak No-Yoon;Seo Beom-Seok;Hwang Byong-Won
    • Journal of Digital Contents Society
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    • v.3 no.2
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    • pp.197-209
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    • 2002
  • If we reduce the number of vertexes to decrease bit rate in polygon-based shape coding, the distortion of approximated contour increases rapidly. On the other hand, if we reduce the distortion, the number of vertexes increases rapidly and many bits are required to encode the vertexes. To improve this problem, in this paper we propose the approximation vertex search method. The encoder in the proposed method searches the type of distortion patterns that is the most similar to the shape which polygon edge and contour segment form and then encodes it. And then, the decoder mathematically finds the approximated vertexes from decoded distortion pattern information. Therefore, the proposed algorithm results in encoding many vertexes at a low bit rate and having the smoother shape than conventional method. As shown in computer simulation, the proposed method has less distortion than conventional method. It costs less bit rate by $10{\sim}20%$ than conventional algorithm in same distortion.

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Nesting Problem for Two Dimensional Irregular Shapes using Heuristic (휴리스틱을 이용한 2차원 임의형상 부재 배치 문제)

  • Jeong, Sung-Kyo;Jeon, Geon-Wook
    • IE interfaces
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    • v.21 no.1
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    • pp.8-17
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    • 2008
  • A new search procedure, VLT(Vertex Line Tracing) heuristic, for two dimensional irregular shapes nesting problem was suggested in this study. The VLT heuristic was suggested to the nesting problem to overcome disadvantages of the existing NFP(No-Fit-Polygon) method. This VLT heuristic was compared with the results of the existing benchmark problems suggested by Albano, Hopper, and Burke. The results of the VLT heuristic give efficient solutions in the point of the scrap ratio and computation time. A computer program, NestLogic, using C++ for VLT heuristic was also developed for this nesting problem.

Search Algorithm for Efficient Optimal Path based on Time-weighted (시간 가중치 기반 효율적인 최적 경로 탐색 기법 연구)

  • Her, Yu-sung;Kim, Tae-woo;Ahn, Yonghak
    • Journal of the Korea Convergence Society
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    • v.11 no.2
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    • pp.1-8
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    • 2020
  • In this paper, we propose an optimal path search algorithm between each node and midpoint that applies the time weighting. Services for using a location of mid point usually provide a mid point location-based on the location of users. There is a problem that is not efficient in terms of time because a location-based search method is only considered for location. To solve the problem of the existing location-based search method, the proposed algorithm sets the weights between each node and midpoint by reflecting user's location information and required time. Then, by utilizing that, it is possible to search for an optimum path. In addition, to increase the efficiency of the search, it ensures high accuracy by setting weights adaptively to the information given. Experimental results show that the proposed algorithm is able to find the optimal path to the midpoint compared with the existing method.

Reinforcement Learning Based Evolution and Learning Algorithm for Cooperative Behavior of Swarm Robot System (군집 로봇의 협조 행동을 위한 강화 학습 기반의 진화 및 학습 알고리즘)

  • Seo, Sang-Wook;Kim, Ho-Duck;Sim, Kwee-Bo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.17 no.5
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    • pp.591-597
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    • 2007
  • In swarm robot systems, each robot must behaves by itself according to the its states and environments, and if necessary, must cooperates with other robots in order to carry out a given task. Therefore it is essential that each robot has both learning and evolution ability to adapt the dynamic environments. In this paper, the new polygon based Q-learning algorithm and distributed genetic algorithms are proposed for behavior learning and evolution of collective autonomous mobile robots. And by distributed genetic algorithm exchanging the chromosome acquired under different environments by communication each robot can improve its behavior ability Specially, in order to improve the performance of evolution, selective crossover using the characteristic of reinforcement learning is adopted in this paper. we verify the effectiveness of the proposed method by applying it to cooperative search problem.

Detecting Uncertain Boundary Algorithm using Constrained Delaunay Triangulation (제한된 델로네 삼각분할을 이용한 공간 불확실한 영역 탐색 기법)

  • Cho, Sunghwan
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.32 no.2
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    • pp.87-93
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    • 2014
  • Cadastral parcel objects as polygons are fundamental dataset which represent land administration and management of the real world. Thus it is necessary to assure topological seamlessness of cadastral datasets which means no overlaps or gaps between adjacent parcels. However, the problem of overlaps or gaps are frequently found due to non-coinciding edges between adjacent parcels. These erroneous edges are called uncertain edges, and polygons containing at least one uncertain edge are called uncertain polygons. In this paper, we proposed a new algorithm to efficiently search parcels of uncertain polygons between two adjacent cadastral datasets. The algorithm first selects points and polylines around adjacent datasets. Then the Constrained Delaunay Triangulation (CDT) is applied to extract triangles. These triangles are tagged by the number of the original cadastral datasets which intersected with the triangles. If the tagging value is zero, the area of triangles mean gaps, meanwhile, the value is two, the area means overlaps. Merging these triangles with the same tagging values according to adjacency analysis, uncertain edges and uncertain polygons could be found. We have performed experimental application of this automated derivation of partitioned boundary from a real land-cadastral dataset.

Voronoi-Based Search Scheme for Road Network Databases (도로 망 데이터베이스를 위한 보로노이 기반의 탐색 방안)

  • Kim, Dae-Hoon;Hwang, Een-Jun
    • Journal of IKEEE
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    • v.11 no.4
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    • pp.348-357
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    • 2007
  • Due to the improved performance and cost of personal mobile devices and rapid progress of wireless communication technology, the number of users who utilize these devices is increasing. This trend requires various types of services be available to users. So far, there have been many solutions provided for the shortest path problem. But, technologies which can offer various recommendation services to user depending on user’s current location are focused on Euclidean spaces rather than road network. Thus, in this paper, we extend the previous work to satisfy this requirement on road network database. Our proposed scheme requires pre-computation for the efficient query processing. In the preprocessing step, we first partition the input road network into a fixed number of Voronoi polygons and then pre-compute routing information for each polygon. In the meantime, we select the number of Voronoi polygons in proposition to the scale of road network. Through this selection, the required size of pre-computation is linearly increasing to the size of road network. Using this pre-computated information, we can process queries more quickly. Through experiments, we have shown that our proposed scheme can achieve excellent performance in terms of scheduling time and the number of visited nodes.

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