• The KIPS Transactions:PartA
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• v.17A no.5
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• pp.213-220
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• 2010

In this paper, a mechanism connecting all input edges with minimum length through Steiner tree is proposed. Edges are convertible into communication lines, roads, railroads or trace of moving object. Proposed mechanism could be applied to connect these edges with minimum cost. In our experiments where input edge number and maximum connections per edge are used as input parameters, our mechanism made connection length decrease average 6.8%, while building time for a connecting solution increase average 192.0% comparing with the method using minimum spanning tree. The result shows our mechanism might be well applied to the applications where connecting cost is more important than building time for a connecting solution.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.20 no.2
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• pp.415-420
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• 2016

A graph G=(V,E) is called an interval graph with a set V of vertices representing intervals on a line such that there is an edge $(i,j){\in}E$ if and only if intervals i and j intersect. In this paper, we are concerned in the vertex connectivity, one of various characteristics of the graph. Specifically, the vertex connectivity of an interval graph is represented by the overlapping of intervals. Also we propose an efficient algorithm to compute the vertex connectivity on the fully dynamic environment in which the vertices or the edges are inserted or deleted. Using a special kind of interval tree, we show how to compute the vertex connectivity and to maintain the tree in O(logn) time when a new interval is added or an existing interval is deleted.

• The KIPS Transactions:PartA
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• v.16A no.6
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• pp.509-518
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• 2009

In this paper, a mechanism that produces an approximation edges minimum spanning tree swiftly using virtual nodes called portals dividing given edges into same distance sub-edges. The approximation edges minimum spanning tree can be used in many useful areas as connecting communication lines, road networks and railroad systems. For 3000 random input edges, when portal distance is 0.3, tree building time decreased 29.74% while the length of the produced tree increased 1.8% comparing with optimal edge minimum spanning tree in our experiment. When portal distance is 0.75, tree building time decreased 39.96% while the tree length increased 2.96%. The result shows this mechanism might be well applied to the applications that may allow a little length overhead, but should produce an edge connecting tree in short time. And the proposed mechanism can produce an approximation edge minimum spanning tree focusing on tree length or on building time to meet user requests by adjusting portal distance or portal discard ratio as parameter.

• Proceedings of the Korea Multimedia Society Conference
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• 2003.11a
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• pp.338-341
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• 2003

본 논문에서는 직선과 곡선으로 구성된 단순한 도면으로부터 곡선을 검출한 다음에 곡선을 원형 아크로 분할하는 방법을 제안한다. 본 논문의 방법에서는 먼저 선의 중심점을 찾은 다음에 연결된 중심점을 추적하여 선분을 검출한다. 그 다음에는 선분의 양 끝에서 선분의 방향을 이용하여 이웃한 선분을 검출하여 선분을 확장해 나간다. 선분을 확장한 다음에는 직선을 제거하고 곡선만 남긴 다음에 재귀적 분할 방법을 이용하여 곡선을 아크들의 집합으로 분할한다. 본 논문에서는 기존의 벡터화 소프트웨어와 벡터 기반 아크 분할 방법과 비교 실험을 수행하였다 실험 결과에 의하면 본 논문에서 제안된 방법이 기존의 방법에 비하여 교차점을 가지는 곡선에 대하여 보다 정확하게 아크로 분할하였다.

• Journal of Korea Society of Industrial Information Systems
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• v.8 no.2
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• pp.21-29
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• 2003

The thinning algorithms using 8-neighbors connection value can extract the skeleton of a character almost similar to the original pattern by using the connection value representing connectivity of each pixel. This paper considers the erosion phenomenon which appears in the thinning algorithm using 8-neighbors connection value without skeleton disappearance phenomenon. The experimental results show that the proposed thinning algorithm can be applied to the application of both a straight line segment and a curved line segment.

• The KIPS Transactions:PartA
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• v.18A no.5
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• pp.215-224
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• 2011

In this paper, a mechanism connecting all weighted migration routes with minimum cost with EGOSST is proposed. Weighted migration routes may be converted to weighted input edges considered as not only traces but also traffics or trip frequencies of moving object on communication lines, roads or railroads. Proposed mechanism can be used in more wide and practical area than mechanisms considering only moving object traces. In our experiments, edge number, maximum weight for input edges, and detail level for grid are used as input parameters. The mechanism made connection cost decrease average 1.07% and 0.43% comparing with the method using weight minimum spanning tree and weight steiner minimum tree respectively. When grid detail level is 0.1 and 0.001, while each execution time for a connecting solution increases average 97.02% and 2843.87% comparing with the method using weight minimum spanning tree, connecting cost decreases 0.86% and 1.13% respectively. This shows that by adjusting grid detail level, proposed mechanism might be well applied to the applications where designer must grant priority to reducing connecting cost or shortening execution time as well as that it can provide good solutions of connecting migration routes with weights.

• Journal of Korea Multimedia Society
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• v.7 no.4
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• pp.579-591
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• 2004

This paper presents a new arc segmentation method which extracts curves from simple drawing consisted of straight lines and curves and segments them into circular arcs. First, it finds center points and finds line segments and curve segments by tracing connected center points. Next, it expands the segment by searching neighbor segment at the two endpoints. Next, it removes straight lines and segments the extracted curves into circular arcs by using the recursive subdivision method. The proposed method has been compared with previous vectorization software and vector based arc segmentation method. Experimental results show that the proposed method produces more correct results for the curves which contain intersection with other lines or curves.

• The Journal of Korean Association of Computer Education
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• v.6 no.4
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• pp.61-69
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• 2003

RG(Railway Graph), which is a connected graph structure with the concepts of internal and external edges, is a data structure for representing railway assignments in a track network. In RG, it is possible to represent railway connectivities considering it's forward direction which is impossible in a digraph representation. But with RC, we can not still represent an othogonoal railway crossing in a track network. In this paper, we extend RG using the concept of dummy edge. Using ERG(Extended Railway Graph), we describe a method to consistently represent track network including othogonoal railway crossings, data structure for our ERG, and path allocation algorithm in ERG.

• Journal of KIISE:Software and Applications
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• v.26 no.2
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• pp.273-283
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• 1999

래스터 지도에서 직선 또는 곡선과 중첩되어 있는 경우의 문자는 추출하기가 쉽지 않다. 따라서 본 논문에서는 고립되어 있는 문자뿐만 아니라 문자이외의 요소와 중첩되어 있는 문자도 효과적으로 추출할수 있는 분할 정복(divide and conquer) 개념에 기반한 문자 추출방법을 제시한다. 이를 위해 먼저 이미지의 연결 요소로부터 볼록다각형(convex hull)을 생성한다. 그리고 이 다각형이 충분한게 문자영역만을 포함할때가지 볼록 다각형을 이등분하면서 가장 긴 선분(투사 선분)을 기준으로 두 영역으로 분할한다. 다음으로 문자를 추출하기 위해서 이 선분을 기준으로 연결 요소상의 픽셀의 밀집도를 계산하는 알고리즘(프로파일링)을 적용한다. 또한 지도상에서 추출된 개별적인 문자들을 의미있는 단어들로 묶기(grouping)한 새로운 알고리즘을 소개한다. 특히 지도상에 나타나는 문자의 종류는 매우 다양하고 또한 이 문자들이 놓여있는 방향 역시 일정하지 않기 때문에 이러한 단어를 찾는 kd법은 쉽지 않다. 이를 위해 본 논문에서는 3차원 인접 그래프(3-D neighborhood graph)G를 소개한다. 이 그래프 G에서 각 노드는 하나의 분리된 문자를 나타내며 자신의 크기와 위치에 따라서 3차원 공간상에서 위치하게된다. 따라서, 크기가 큰 (작은)문자들은 보다 큰 (작은) z값을 가지고 되며 이 그래프 G에서 서로 인접한 노드들을 연결함으로써 지도상에 존재하는 서로 다른 종류의 문자 스트링을 추출할수 있다. 실험결과는 서로 다른 지도 이미지에 대해서 약 95% 이상의 단어 추출율을 보여준다.

• Journal of KIISE:Computer Systems and Theory
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• v.36 no.1
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• pp.21-25
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• 2009

In this paper, we study the problem to fit a piecewise-quadratic polynomial curve to points in the plane. The curve consists of quadratic polynomial segments and two points are connected by a segment. But it passes through a subset of points, and for the points not to be passed, the error between the curve and the points is estimated in $L^{\infty}$ metric. We consider two optimization problems for the above problem. One is to reduce the number of segments of the curve, given the allowed error, and the other is to reduce the error between the curve and the points, while the curve has the number of segments less than or equal to the given integer. For the number n of given points, we propose $O(n^2)$ algorithm for the former problem and $O(n^3)$ algorithm for the latter.