Title
Labeling Points on a Single Line
Abstract
Abstract In this paper, we consider a map labeling problem where the points to be labeled are restricted on a line. It is known that the 1d-4P and the 1d-4S unit-square label placement problem and the Slope-4P unit-square label placement problem can both be solved in linear time and the Slope-4S unit-square label placement problem can be solved in quadratic time in [7]. We extend the result to the following label placement problem: Slope-4P fixed-height (width) label placement problem and elastic labels and present a linear time algorithm for it provided that the input points are given sorted. We further show that if the points are not sorted, the label placement problems have a lower bound of ›(nlogn), where n is the input size, under the algebraic computation tree model. Optimization versions of these point labeling problems are also considered.
Year
DOI
Venue
2005
10.1142/S0218195905001695
Int. J. Comput. Geometry Appl.
DocType
Volume
Issue
Journal
15
3
Citations 
PageRank 
References 
3
0.43
13
Authors
3
Name
Order
Citations
PageRank
Yu-shin Chen1141.59
D.T. Lee262778.14
Chung-shou Liao332020.95