Journal of the Korea Institute of Information and Communication Engineering (한국정보통신학회논문지)

The Korea Institute of Information and Commucation Engineering (한국정보통신학회)
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Map Labeling for Collinear Sites

동일선상 위치들에 대한 지도 레이블링

  • Kim, Jae-hoon (Division of Computer Software, Busan University of Foreign Studies)
  • Received : 2020.07.10
  • Accepted : 2020.08.03
  • Published : 2020.10.31
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Abstract

In a map, placing the labels, corresponding to names or explanations of specific features, is called map labeling. In this paper, n points on a line are given, and placing rectangular labels for the points is considered. Particularly, the labels have a same height and their lower sides lie on a straight line in the upper of the line on which the given points are. The points and the labels are connected by polygonal lines, which are called leader lines. The leader lines are classified into straight leader lines and bended leader lines, where the straight leader line consists of only the vertical line and the bended leader line consists of vertical, horizontal, vertical lines. The problem is placing the labels to minimize the number of bended leader lines, and we propose an O(nlogn)-time algorithm, which improves the O(n2)-time algorithm previously provided in [13].

지도에서 특별한 지형지물에 이름이나 설명문에 해당하는 레이블을 붙이는 것을 지도 레이블링(map labeling)이라고 한다. 본 논문에서는 직선상에 n개의 점들이 주어지고 점들에 대한 직사각형의 레이블을 위치시키는 문제를 다룬다. 특별히 레이블들의 높이는 모두 같고, 점들이 위치한 직선의 위쪽에 아래 변들이 모두 동일 선 위에 위치하도록 놓는다. 그리고 점과 레이블을 꺾은선으로 연결하고 이것을 지시선이라 부른다. 지시선은 수직선만으로 구성된 직선 지시선과 수직선, 수평선, 수직선으로 구성된 꺾인 지시선으로 나뉜다. 문제는 꺾인 지시선의 수를 최소화하도록 레이블을 위치시키는 것이고, 우리는 O(nlogn) 시간 알고리즘을 제안함으로서 [13]에서 제안한 O(n2) 시간 알고리즘을 개선한다.

Keywords

References

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