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Paper Abstract and Keywords
Presentation 2012-06-21 16:20
A method for computing a sequence of circumscribing polygons
Kensuke Onishi (Tokai Univ.), Mamoru Hoshi (UEC) COMP2012-23
Abstract (in Japanese) (See Japanese page) 
(in English) We have studied algorithm for computing a sequence of circumscribing polygons. In our previous paper, we proposed two constructive methods for convex polygon: optimal and greedy. The former computes the smallest k-gons, the latter quickly computes nearly smallest k-gons with small memory for k >= 5.
In this paper, we propose two methods for computing a sequence of polygons circumscribing a given simple polygon which is more general rather than convex. Since the previous paper showed the greedy method is fairly good, we propose two methods based on the greedy method, called naive method and pocket method. The computation complexity of two methods is O(n^2) time and O(n) space in the worst case for a simple polygon with n vertices. The pocket method is done in O(n^2/log n) time for points selected from square region and O(n^{5/3}) time for that from disk region on average.
Moreover, we apply the methods to sets of simple polygons. The execution time of the naive method and that of the pocket methods are O(n^2), O(n^2/ log n) for square region and O(n^{5/3}) for disk region, respectively.
Keyword (in Japanese) (See Japanese page) 
(in English) simple polygon / circumscribing polygon / retrieval by shape / / / / /  
Reference Info. IEICE Tech. Rep., vol. 112, no. 93, COMP2012-23, pp. 87-93, June 2012.
Paper # COMP2012-23 
Date of Issue 2012-06-14 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee COMP  
Conference Date 2012-06-21 - 2012-06-21 
Place (in Japanese) (See Japanese page) 
Place (in English) Hokkaido University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2012-06-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A method for computing a sequence of circumscribing polygons 
Sub Title (in English)  
Keyword(1) simple polygon  
Keyword(2) circumscribing polygon  
Keyword(3) retrieval by shape  
1st Author's Name Kensuke Onishi  
1st Author's Affiliation Tokai University (Tokai Univ.)
2nd Author's Name Mamoru Hoshi  
2nd Author's Affiliation The University of Electro-Communications (UEC)
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Date Time 2012-06-21 16:20:00 
Presentation Time 25 
Registration for COMP 
Paper # IEICE-COMP2012-23 
Volume (vol) IEICE-112 
Number (no) no.93 
Page pp.87-93 
#Pages IEICE-7 
Date of Issue IEICE-COMP-2012-06-14 

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