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Paper Abstract and Keywords
Presentation 2014-03-10 16:05
Flip-Based Computation of Reeb Graphs for Triangular Meshes
Masaki Moriguchi, Keiko Imai (Chuo Univ.) COMP2013-72
Abstract (in Japanese) (See Japanese page) 
(in English) The Reeb graph of a function defined over a triangular mesh encodes the topological evolution of the level-sets of the function. This high-level shape descriptor is widely used in computer graphics. In this paper, we present a flip-based algorithm for computing Reeb graphs on triangular meshes. Similar to Delaunay flips for computing Delaunay triangulations, the flips for computing Reeb graphs are driven by some local objective function. The shortest flip sequence that computes the Reeb graph has $mathrm{O}(m log n)$ flips, where $n$ is the number of vertices in the input mesh and $m$ is the number of edges. Though the longest flip sequence has $mathrm{O}(m n)$ flips, our algorithm runs fast in practice and easy to implement.
Keyword (in Japanese) (See Japanese page) 
(in English) Reeb graphs / diagonal flips / closed surfaces / triangulations / pseudo-triangulations / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 488, COMP2013-72, pp. 83-89, March 2014.
Paper # COMP2013-72 
Date of Issue 2014-03-03 (COMP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 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 2014-03-10 - 2014-03-10 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
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Paper Information
Registration To COMP 
Conference Code 2014-03-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Flip-Based Computation of Reeb Graphs for Triangular Meshes 
Sub Title (in English)  
Keyword(1) Reeb graphs  
Keyword(2) diagonal flips  
Keyword(3) closed surfaces  
Keyword(4) triangulations  
Keyword(5) pseudo-triangulations  
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1st Author's Name Masaki Moriguchi  
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 2014-03-10 16:05:00 
Presentation Time 25 minutes 
Registration for COMP 
Paper # COMP2013-72 
Volume (vol) vol.113 
Number (no) no.488 
Page pp.83-89 
#Pages 7 
Date of Issue 2014-03-03 (COMP) 

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