• 제목/요약/키워드: Min-cut Graph

검색결과 18건 처리시간 0.022초

Enhanced Graph-Based Method in Spectral Partitioning Segmentation using Homogenous Optimum Cut Algorithm with Boundary Segmentation

  • S. Syed Ibrahim;G. Ravi
    • International Journal of Computer Science & Network Security
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    • 제23권7호
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    • pp.61-70
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    • 2023
  • Image segmentation is a very crucial step in effective digital image processing. In the past decade, several research contributions were given related to this field. However, a general segmentation algorithm suitable for various applications is still challenging. Among several image segmentation approaches, graph-based approach has gained popularity due to its basic ability which reflects global image properties. This paper proposes a methodology to partition the image with its pixel, region and texture along with its intensity. To make segmentation faster in large images, it is processed in parallel among several CPUs. A way to achieve this is to split images into tiles that are independently processed. However, regions overlapping the tile border are split or lost when the minimum size requirements of the segmentation algorithm are not met. Here the contributions are made to segment the image on the basis of its pixel using min-cut/max-flow algorithm along with edge-based segmentation of the image. To segment on the basis of the region using a homogenous optimum cut algorithm with boundary segmentation. On the basis of texture, the object type using spectral partitioning technique is identified which also minimizes the graph cut value.

무방향 그래프의 최대인접병합 방법을 적용한 최소절단 알고리즘 (A Minimum Cut Algorithm Using Maximum Adjacency Merging Method of Undirected Graph)

  • 최명복;이상운
    • 한국인터넷방송통신학회논문지
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    • 제13권1호
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    • pp.143-152
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    • 2013
  • 주어진 그래프 G=(V,E), n=|V|, m=|E|에 대해 최소절단을 찾는 연구는 공급처 s와 수요처 t가 주어지지 않은 경우와 주어진 경우로 구분된다. s와 t가 주어지지 않은 무방향 가중 그래프에 대한 Stoer-Wagner 알고리즘은 임의의 정점을 고정시키고 최대 인접 순서로 나열하여 마지막 정점의 절단 값과 마지막 2개 정점을 병합하면서 정점을 축소시키는 방법으로 $\frac{n(n-1)}{2}$회를 수행한다. 또한, s와 t가 주어진 그래프에 대한 Ford-Fulkerson 알고리즘은 증대경로를 탐색하여 절단 간선을 결정한다. 더 이상의 증대 경로가 없으면 절단 간선들의 조합으로 최소절단을 결정해야 한다. 본 논문은 단일 s와 t가 주어진 무방향 가중 그래프에 대해 최대인접 병합과 절단값을 동시에 계산하는 방법으로 n-1회 수행으로 단축시켰다. 또한, Stoer-Wagner 알고리즘은 최소 절단을 기준으로 V=S+T로 양분하지 못할 수 있는데 반해 제안된 알고리즘은 정확히 양분시켰다. 제안된 알고리즘은 Ford-Fulkerson의 증대경로를 찾는 수행횟수보다 많이 수행하지만 수행과정에서 최소절단을 결정하는 장점이 있다.

그래프 컷 커널을 이용한 스테레오 대응 (Stereo Correspondence Using Graphs Cuts Kernel)

  • 이용환;김영섭
    • 반도체디스플레이기술학회지
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    • 제16권2호
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    • pp.70-74
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    • 2017
  • Given two stereo images of a scene, it is possible to recover a 3D understanding of the scene. This is the primary way that the human visual system estimates depth. This process is useful in applications like robotics, where depth sensors may be expensive but a pair of cameras is relatively cheap. In this work, we combined our interests to implement a graph cut algorithm for stereo correspondence, and performed evaluation against a baseline algorithm using normalized cross correlation across a variety of metrics. Experimental trials revealed that the proposed descriptor exhibited a significant improvement, compared to the other existing methods.

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PLA 열 또는 행의 최적 겹침쌍을 찾기위한 3 단계 휴리스틱 알고리즘 (A Three-Step Heuristic Algorithm For Optimal PLA Column and/or Row Folding)

  • 양영일;경종민
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1988년도 전기.전자공학 학술대회 논문집
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    • pp.591-594
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    • 1988
  • A three-step heuristic algorithm for PLA column folding and row folding of column-folded PLA is presented, which is significantly faster than the earlier works and provides nearly optimal results. The three steps are i) min-cut partition of vertices in the column (or row) intersection graph, ii) determination of products' order using Fiduccia's min-net cut algorithm, and iii) head-tail pairing for column folding, while some heuristics are proposed for deciding row folding pairs. The time complexity of this algorithm is O($n^{2}$log n) compared to the O($n^{3}$) - O($n^{4}$) of the earlier works.$^[2][3][9]$ For a test PLA with 23 inputs, 19 outputs and 52 products, the number of column folding pairs obtained using this algorithm is 20 which is optimal, as compared to 17 in a previous work.

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결혼식장 좌석배치 계획 문제의 최소-절단 알고리즘 (Min-Cut Algorithm for Arrangement Problem of the Seats in Wedding Hall)

  • 이상운
    • 한국인터넷방송통신학회논문지
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    • 제19권1호
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    • pp.253-259
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    • 2019
  • 복잡한 관계(동석 선호도)망을 갖고 있는 결혼 연회장에 참석하는 하객들에 대해 테이블 당 좌석 수가 한정되어 있는 경우, 최소의 관계 손실을 갖도록 좌석을 배정하는 문제를 결혼 연회장 좌석 배정 문제(WSP)라 한다. 이 문제는 다항시간을 해를 구하는 방법이 알려져 있지 않아 NP-난제로 분류되어 있으며, 컴퓨터 프로그램 도움 없이 손으로 다항시간으로 해를 구하는 알고리즘은 알려져 있지 않다. 본 논문에서는 최대 관계를 갖는 두 하객을 분리하면 최소 절단(관계 손실 최소화)을 얻지 못한다는 이론에 기반하여 최소절단 값을 갖도록 하객 관계망을 분할하는 규칙을 적용하였다. 제안된 알고리즘을 다양한 실험 데이터에 적용한 결과 테이블 당 좌석 수 제약조건에 맞는 좌석 배정표를 쉽게 얻을 수 있었다.

황동과 금형강의 와이어 컷 방전가공을 통한 가공특성 평가 (Evaluation of Machining Characteristics through Wire-Cut EDM of Brass and SKD 11)

  • 김정석
    • 한국생산제조학회지
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    • 제6권4호
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    • pp.130-137
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    • 1997
  • The demand for wire-cut EDM is increasing rapidly in the die and tool making industry. In this study machining characteristics such as machining rate, surface roughness, hand drum form and hardness of machined material are investigated experimentally under the conditions varing pulse on time, pulse off time, peak voltage, wire tension after fixing other conditions in SKD 11 and brass and brass workpiece. It was found that various operating conditions had significant influences on machining characteristics. But the hardness of workpiece was uneffected by operating conditions. Also it was obtained experimentally that brass workpeice had better machinability than SKD 11 one.dition according to the current(Ip) in an electric spark machine : 1) Electrode is utilized Cu and Graphite. 2) Work piece is used the material of carbon steel. The condition of experiment is : 1) Current is varied 0.7(A) to 50(A) and the time of electric discharging to work piece in each time is 30(min) to 60(min). 2) After the upper side of work piece was measured in radius(5$\mu$m) of stylus analyzed the surface roughness to ade the table and graph of Rmax by yielding data. 3) Electro wear ratio is : \circled1Cooper was measured ex-machining and post-machining by the electronic balance. \circled2The ex-machining of graphite measured by it, the post-machining was found the data from volume $\times$specific gravity and analyzed to made its table and graph on ground the data. 4) In order to keep the accuracy of voltage affected to the work piece was equipped with the A.V. R and the memory scope was sticked to the electric spark machine. 5) In order to preserve the precision of current, to get rid of the noise occured by internal resistance of electric spark machine and to force injecting for the discharge fluid , it made the fixed table for a work piece to minimize the work error by means of one's failure during the electric discharging.

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Implementing a Branch-and-bound Algorithm for Transductive Support Vector Machines

  • Park, Chan-Kyoo
    • Management Science and Financial Engineering
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    • 제16권1호
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    • pp.81-117
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    • 2010
  • Semi-supervised learning incorporates unlabeled examples, whose labels are unknown, as well as labeled examples into learning process. Although transductive support vector machine (TSVM), one of semi-supervised learning models, was proposed about a decade ago, its application to large-scaled data has still been limited due to its high computational complexity. Our previous research addressed this limitation by introducing a branch-and-bound algorithm for finding an optimal solution to TSVM. In this paper, we propose three new techniques to enhance the performance of the branch-and-bound algorithm. The first one tightens min-cut bound, one of two bounding strategies. Another technique exploits a graph-based approximation to a support vector machine problem to avoid the most time-consuming step. The last one tries to fix the labels of unlabeled examples whose labels can be obviously predicted based on labeled examples. Experimental results are presented which demonstrate that the proposed techniques can reduce drastically the number of subproblems and eventually computational time.

Transductive SVM을 위한 분지-한계 알고리즘 (A Branch-and-Bound Algorithm for Finding an Optimal Solution of Transductive Support Vector Machines)

  • 박찬규
    • 한국경영과학회지
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    • 제31권2호
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    • pp.69-85
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    • 2006
  • Transductive Support Vector Machine(TSVM) is one of semi-supervised learning algorithms which exploit the domain structure of the whole data by considering labeled and unlabeled data together. Although it was proposed several years ago, there has been no efficient algorithm which can handle problems with more than hundreds of training examples. In this paper, we propose an efficient branch-and-bound algorithm which can solve large-scale TSVM problems with thousands of training examples. The proposed algorithm uses two bounding techniques: min-cut bound and reduced SVM bound. The min-cut bound is derived from a capacitated graph whose cuts represent a lower bound to the optimal objective function value of the dual problem. The reduced SVM bound is obtained by constructing the SVM problem with only labeled data. Experimental results show that the accuracy rate of TSVM can be significantly improved by learning from the optimal solution of TSVM, rather than an approximated solution.

스테레오 영상에서의 그래프 컷에 의한 객체 기반 윤곽 추출 (Object based contour detection by using Graph-cut on Stereo Images)

  • 강태훈;오장석;이언석;하승한;김민기
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2007년도 심포지엄 논문집 정보 및 제어부문
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    • pp.449-450
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    • 2007
  • 오래 전 부터 영상처리와 컴퓨터 비전은 많은 분야에 응용되고 발전 되어 왔다. 그러한 기술 중에 최근 각광 받고 있는 그래프 짓(Graph cut) 알고리즘은 에너지함수를 최소화 하는 가장 강력한 최적화 기법중 하나이다. 그리고 일반적으로 Sobel, Prewitt, Roberts, Canny 에지(edge) 검출기 등은 영상처리에서 영상상의 에지를 검출하기 위해 이미 널리 사용되고 발전되어 온 기술이다. 물체에서의 윤곽만 검출하기 위해서는 우리가 원하지 않는 영상 위의 에지도 검출되기 때문에 예지 검출기만으로는 물체의 윤곽만을 검출하는 것은 불가능하다. 우리는 물체의 윤곽만 검출하기를 원하기 때문에 그래프 컷과 에지 검출기의 알고리즘을 결합하면 이러한 문제를 해결 할 수 있다는 것을 제안한다. 이 논문에서는 그래프 컷 알고리즘과 에지 검출기에 관해 간략하게 기술하고 그 결과를 보일 것이다.

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게이트 어레이의 자동 배치, 배선 시스템 (Automatic Placement and Routing System for Gate Array)

  • 이건배;정정화
    • 대한전자공학회논문지
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    • 제25권5호
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    • pp.572-579
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    • 1988
  • In this paper, a system of automatic placement and routing for gate array layout design is proposed. In the placement stage, the circuit is partitioned and using the concept of min-cut slicing, and each partitioned module is placed, so that the routing density over the entire chip be uniformized and the total wiring length be minimized. In the global routing stage, the concept of the probabilistic routing density is introduced to unify the wiring congestions in each channel. In the detailed routing stage, the multi-terminal nets are partitioned into the two-terminal nets. The ordered channel graph is proposed which implies the vertical and the horizontal constranint graphs simultaneously. And using the ordered channel graph, the proposed routing algorithm assigns the signal nets to the tracks. Also the proposed placement and routing algorithms are implimented on IBM/PC-AT to construct PC-level gate array layout system.

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