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Presentation 2013-12-21 16:30
Label Size Maximization for Square Labels on Rotating Maps
Yusuke Yokosuka, Keiko Imai (Chuo Univ.) COMP2013-59
Abstract (in Japanese) (See Japanese page) 
(in English) Map labeling is a problem of placing labels at corresponding graphical features on a map. There are two optimization problems: the label number maximization problem and the label size maximization problem. In general, both problems are NP-hard for static maps. Recently, the widespread use of several applications, such as personal mapping systems, has increased the importance of dynamic maps and the label number maximization problem for dynamic cases has been studied. In this paper, we consider the label size maximization problem for points on rotating maps. Our model is as follows. For each label, a point is chosen on its boundary as an anchor point. Each label is placed such that the anchor point coincides with the corresponding point on the map. Furthermore, while the map fully rotates from $0$ to $2 pi$, the labels are placed horizontally according to the angle of the map. Our problem consists of finding the maximum scale factor for the labels such that the labels do not intersect, and deciding the place of the anchor points. In CCCG'13, Yokosuka and Imai proposed an $O(n log n)$-time and $O(n)$-space algorithm for unit-height rectangular labels. In this paper, we propose an $O(n^2)$-time and $O(1)$-space algorithm for arbitrary square labels.
Keyword (in Japanese) (See Japanese page) 
(in English) Map Labeling / Label Size Maximization Problem / Dynamic Maps / Rotating Maps / Square Labels / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 371, COMP2013-59, pp. 131-135, Dec. 2013.
Paper # COMP2013-59 
Date of Issue 2013-12-13 (COMP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee COMP  
Conference Date 2013-12-20 - 2013-12-21 
Place (in Japanese) (See Japanese page) 
Place (in English) Okinawa Industry Support Center 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2013-12-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Label Size Maximization for Square Labels on Rotating Maps 
Sub Title (in English)  
Keyword(1) Map Labeling  
Keyword(2) Label Size Maximization Problem  
Keyword(3) Dynamic Maps  
Keyword(4) Rotating Maps  
Keyword(5) Square Labels  
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1st Author's Name Yusuke Yokosuka  
1st Author's Affiliation Chuo University (Chuo Univ.)
2nd Author's Name Keiko Imai  
2nd Author's Affiliation Chuo University (Chuo Univ.)
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Speaker Author-1 
Date Time 2013-12-21 16:30:00 
Presentation Time 25 minutes 
Registration for COMP 
Paper # COMP2013-59 
Volume (vol) vol.113 
Number (no) no.371 
Page pp.131-135 
#Pages
Date of Issue 2013-12-13 (COMP) 


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