Title
Labeling Points With Rectangles Of Various Shapes
Abstract
We deal with a map-labeling problem, named LOFL (Left-part Ordered Flexible Labeling), to label a set of points in a plane in the presence of polygonal obstacles. The label for each point is selected from a set of rectangles with various shapes satisfying the left-part ordered property, and is placed near to the point after scaled by a scaling factor a which is common to all points. In this paper, we give an optimal O((n + m) log(n + m)) algorithm to decide the feasibility of LOFL for a fixed scaling factor sigma, and an O((n + m) log(2) (n + m)) time algorithm to find the largest feasible scaling factor sigma, where n is the number of points and m is the total number of edges of the polygonal obstacles.
Year
DOI
Venue
2002
10.1142/S0218195902001018
INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS
Keywords
Field
DocType
map labelling, geographic information systems, plane sweep algorithm, parametric search
Sorting network,Scale factor,Discrete mathematics,Polygon,Combinatorics,Search algorithm,Mathematics,Object point
Journal
Volume
Issue
ISSN
12
6
0218-1959
Citations 
PageRank 
References 
1
0.36
5
Authors
5
Name
Order
Citations
PageRank
Atsushi Koike15817.02
Shin-ichi Nakano224624.40
Takao Nishizeki31771267.08
Takeshi Tokuyama41179417.31
Shuhei Watanabe551.49