• Title/Summary/Keyword: edge connectivity

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Mesh Simplification for Volume and Boundary Preservation (볼륨과 경계보존을 고려한 메쉬 간략화)

  • 조진화;김성수;김영택
    • Proceedings of the Korean Information Science Society Conference
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    • 1999.10b
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    • pp.583-585
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    • 1999
  • 대부분의 3차원 모델을 가시화해주기 위한 시스템들은 삼각 메쉬를 기반으로 한 모델 표현법을 사용하고 있다. 이러한 시스템들은 복잡한 3차원 모델을 원격 엑세스할 때에는 모델을 가공하지 않으면 전송 및 랜더링시에 많은 제약이 따른다. 이러한 전송 시간과 랜더링 시간, 저장공간을 줄이기 위해 모델을 간략화하거나 압축하는 많은 기법들이 소개되어져 왔다. 본 논문에서는 메쉬 간략화를 위해 소개되어진 많은 다른 방법에서 사용한 에지 축약(Edge Collapse) 기반의 간략화 알고리즘을 제시한다. 기본적인 접근 방법으로는 기하학적인 메쉬 구성요소들 중에서 에지의 특성에 따라 제거 기준을 설정한 후 간략화해 나간다. 에지 축약을 위한 우선순위와 축약 이후 새로운 정점의 위치는 원본 모델을 참조하지 않고 간략화 단계의 모델에서 삼각형의 연결성(connectivity)과 정점의 위치만을 이용하여 계산하였다. 실제 이 방법은 방대한 다각형 메쉬를 간략화할 경우 메모리를 효율적으로 이용할 수 있으며, 처리 속도를 개선할 수 있다. 또한, 간략화이후에도 원본 모델의 위상(topology)을 유지할 수 있는 기법을 제시하고 있다. 세가지 모델에 대한 실험 결과에서 기하학적 에러(geometric error)를 최소화하였고, Heckbert가 제안한 방법(QSlim V2.0)과의 비교에서는 처리 속도가 개선되었다.

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THE MULTIPLICATIVE VERSION OF WIENER INDEX

  • Hua, Hongbo;Ashrafi, Ali Reza
    • Journal of applied mathematics & informatics
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    • v.31 no.3_4
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    • pp.533-544
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    • 2013
  • The multiplicative version of Wiener index (${\pi}$-index), proposed by Gutman et al. in 2000, is equal to the product of the distances between all pairs of vertices of a (molecular) graph G. In this paper, we first present some sharp bounds in terms of the order and other graph parameters including the diameter, degree sequence, Zagreb indices, Zagreb coindices, eccentric connectivity index and Merrifield-Simmons index for ${\pi}$-index of general connected graphs and trees, as well as a Nordhaus-Gaddum-type bound for ${\pi}$-index of connected triangle-free graphs. Then we study the behavior of ${\pi}$-index upon the case when removing a vertex or an edge from the underlying graph. Finally, we investigate the extremal properties of ${\pi}$-index within the set of trees and unicyclic graphs.

On-road Vehicle and Area Detection Using Edge Connectivity and Corner Clustering (에지 연결성과 코너 군집화를 이용한 도로영역 및 차량 검출)

  • Yu, Jae-Hyung;Han, Young-Joon;Hahn, Hern-Soo
    • Proceedings of the IEEK Conference
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    • 2008.06a
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    • pp.1035-1036
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    • 2008
  • 본 논문은 주행 중인 자동차에서 획득한 영상에서 배경과 도로영역 및 물체를 분리하기 위한 영역분할 기법과 물체 검출 기법을 제안하고자 한다. 영상내의 에지라인의 화소 간 연결성을 이용한 라인검출을 이용하여 도로의 윤곽선 정보를 추출하고 컬러분포를 통해 배경과 도로영역을 분리한다. 물체가 가지는 코너 특성을 이용하여 나타난 정보들의 군집화를 통해 후보영역을 얻고 컬러 성분을 이용하여 개별 물체를 분리해냈다. 제안된 알고리즘은 복잡한 배경을 갖는 도로영상의 경우에도 도로영역과 물체의 검출에 강인함을 실험을 통해 검증하였다.

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Path Planning for Cleaning Robots: A Graph Model Approach

  • Yun, Sang-Hoon;Park, Se-Hun;Park, Byung-Jun;Lee, Yun-Jung
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.120.3-120
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    • 2001
  • We propose a new method of path planning for cleaning robots. Path planning problem for cleaning robots is different from conventional path planning problems in which finding a collision-free trajectory from a start point to a goal point is focused. In the case of cleaning robots, however, a planned path should cover all area to be cleaned. To resolve this problem in a systematic way, we propose a method based on a graph model as follows: at first, partition a given map into proper regions, then transform a divided region to a vertex and a connectivity between regions to an edge of a graph. Finally, a region is divided into sub-regions so that the graph has a unary tree which is the simplest Hamilton path. The effectiveness of the proposed method is shown by computer simulation results.

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Edge-Node Deployed Routing Strategies for Load Balancing in Optical Burst Switched Networks

  • Barradas, Alvaro L.;Medeiros, Maria Do Carmo R.
    • ETRI Journal
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    • v.31 no.1
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    • pp.31-41
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    • 2009
  • Optical burst switching is a promising switching paradigm for the next IP-over-optical network backbones. However, its burst loss performance is greatly affected by burst contention. Several methods have been proposed to address this problem, some of them requiring the network to be flooded by frequent state dissemination signaling messages. In this work, we present a traffic engineering approach for path selection with the objective of minimizing contention using only topological information. The main idea is to balance the traffic across the network to reduce congestion without incurring link state dissemination protocol penalties. We propose and evaluate two path selection strategies that clearly outperform shortest path routing. The proposed path selection strategies can be used in combination with other contention resolution methods to achieve higher levels of performance and support the network reaching stability when it is pushed under stringent working conditions. Results show that the network connectivity is an important parameter to consider.

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Passage Feature Recognition Algorithm for Automatic Parting Surface Generation in Plastic Injection Mold (플라스틱 사출 금형의 분할면 자동 생성을 위한 관통 특징 형상 추출 알고리즘의 개발)

  • 정강훈;이건우
    • Korean Journal of Computational Design and Engineering
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    • v.5 no.2
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    • pp.196-205
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    • 2000
  • This paper proposes a topology-based algorithm for recognizing the passage features using a concept of multi-face hole loop. The Multi-face hole loop is a concetpual hole loop that is formed over several connected faces. A passage feature is recognized in the proposed approach by two multi-face hole loops that constitute its enterance and exit. The algorithm proposed in this paper checks the connectivity of the two multi-face hole loops to recognize passage features. The total number of passage features in a part is calculated from Euler equation and is compared with the number of found passage features to decide when to terminate. To find all multi-face hole loops in a part, this paper proposes an algorithm for finding all combinations of connected faces. The edge convexity is used to judge the validity of multi-face hole loops. By using the algorithm proposed in this paper, the passage features could be recognized effectively. The approach proposed in this paper is illustrated with several example parts.

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A Genetic Algorithm Approach for the Design of Minimum Cost Survivable Networks with Bounded Rings

  • B. Ombuki;M. Nakamura;Na, Z.kao;K.Onage
    • Proceedings of the IEEK Conference
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    • 2000.07a
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    • pp.493-496
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    • 2000
  • We study the problem of designing at minimum cost a two-connected network topology such that the shortest cycle to which each edge belongs does not exceed a given maximum number of hops. This problem is considered as part of network planning and arises in the design of backbone networks. We propose a genetic algorithm approach that uses a solution representation, in which the connectivity and ring constraints can be easily encoded. We also propose a crossover operator that ensures a generated solution is feasible. By doing so, the checking of constraints is avoided and no repair mechanism is required. We carry out experimental evaluations to investigate the solution representation issues and GA operators for the network design problem.

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Vehicle-logo recognition based on the PCA

  • Zheng, Qi;Lee, Hyo Jong
    • Proceedings of the Korea Information Processing Society Conference
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    • 2012.04a
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    • pp.429-431
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    • 2012
  • Vehicle-logo recognition technology is very important in vehicle automatic recognition technique. The intended application is automatic recognition of vehicle type for secure access and traffic monitoring applications, a problem not hitherto considered at such a level of accuracy. Vehicle-logo recognition can improve Vehicle type recognition accuracy. So in this paper, introduces how to vehicle-logo recognition. First introduces the region of the license plate by algorithm and roughly located the region of car emblem based on the relationship of license plate and car emblem. Then located the car emblem with precision by the distance of Hausdorff. On the base, processing the region by morphologic, edge detection, analysis of connectivity and pick up the PCA character by lowing the dimension of the image and unifying the PCA character. At last the logo can be recognized using the algorithm of support vector machine. Experimental results show the effectiveness of the proposed method.

FUZZY SUPER SUBDIVISION MODEL WITH AN APPLICATION IN INFECTION GROWTH ANALYSIS

  • Jeba Sherlin Mohan;Samad Noeiaghdam;Leo Savarimuthu;Bharathi Thangavelu
    • Communications of the Korean Mathematical Society
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    • v.39 no.3
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    • pp.803-819
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    • 2024
  • In our study, the integration of fuzzy graphs into classical graph theory gives rise to a novel concept known as "Fuzzy Super Subdivision." Let SSf (G) be the fuzzy super subdivision graphs, by substituting a complete bipartite graph k(2,m) (m = 1, 2, . . .) for each edge of a fuzzy graph. The attributes and properties of this newly proposed concept are briefly outlined, in addition to illustrative examples. Furthermore, significant findings are discussed on connectivity, size, degree and order of fuzzy super subdivision structures. To illustrate the practical implications of our approach, we present an application focused on analyzing the growth of infections in blood or urine samples using the Fuzzy Super Subdivision model.

Construction of a artificial levee line in river zones using LiDAR Data (라이다 자료를 이용한 하천지역 인공 제방선 추출)

  • Choung, Yun-Jae;Park, Hyeon-Cheol;Jo, Myung-Hee
    • Proceedings of the Korea Water Resources Association Conference
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    • 2011.05a
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    • pp.185-185
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    • 2011
  • Mapping of artificial levee lines, one of major tasks in river zone mapping, is critical to prevention of river flood, protection of environments and eco systems in river zones. Thus, mapping of artificial levee lines is essential for management and development of river zones. Coastal mapping including river zone mapping has been historically carried out using surveying technologies. Photogrammetry, one of the surveying technologies, is recently used technology for national river zone mapping in Korea. Airborne laser scanning has been used in most advanced countries for coastal mapping due to its ability to penetrate shallow water and its high vertical accuracy. Due to these advantages, use of LiDAR data in coastal mapping is efficient for monitoring and predicting significant topographic change in river zones. This paper introduces a method for construction of a 3D artificial levee line using a set of LiDAR points that uses normal vectors. Multiple steps are involved in this method. First, a 2.5-dimensional Delaunay triangle mesh is generated based on three nearest-neighbor points in the LiDAR data. Second, a median filtering is applied to minimize noise. Third, edge selection algorithms are applied to extract break edges from a Delaunay triangle mesh using two normal vectors. In this research, two methods for edge selection algorithms using hypothesis testing are used to extract break edges. Fourth, intersection edges which are extracted using both methods at the same range are selected as the intersection edge group. Fifth, among intersection edge group, some linear feature edges which are not suitable to compose a levee line are removed as much as possible considering vertical distance, slope and connectivity of an edge. Sixth, with all line segments which are suitable to constitute a levee line, one river levee line segment is connected to another river levee line segment with the end points of both river levee line segments located nearest horizontally and vertically to each other. After linkage of all the river levee line segments, the initial river levee line is generated. Since the initial river levee line consists of the LiDAR points, the pattern of the initial river levee line is being zigzag along the river levee. Thus, for the last step, a algorithm for smoothing the initial river levee line is applied to fit the initial river levee line into the reference line, and the final 3D river levee line is constructed. After the algorithm is completed, the proposed algorithm is applied to construct the 3D river levee line in Zng-San levee nearby Ham-Ahn Bo in Nak-Dong river. Statistical results show that the constructed river levee line generated using a proposed method has high accuracy in comparison to the ground truth. This paper shows that use of LiDAR data for construction of the 3D river levee line for river zone mapping is useful and efficient; and, as a result, it can be replaced with ground surveying method for construction of the 3D river levee line.

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