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Paper Abstract and Keywords
Presentation 2011-02-18 15:10
A Motion Estimation Using Frenet Frame
Kentaro Sako, Mitsuhiko Fujio (K.I.T) PRMU2010-235
Abstract (in Japanese) (See Japanese page) 
(in English) In this report, we propose a method of interpolation (and extrapolation) of the camera motion given at two instances by realizing its trajectory by a helix.
Since any rigid motion is composed of a translation and a rotation, the movement of a camera between two instances can be represented by the changes of its position and attitude.
It is known that the data about the movement can be extracted from the camera images at both instances and obtained as Essential or Fundamental matrices in epipolar geometry.
On the other hand, every spacial curve is associated with a moving frame called Frenet frame by the classical theory of spacial curves.
In particular, for a given curve, a translation and a rotation are obtained by considering the differences between positions and Frenet frames at end points.
A helix is the most simple curve in the sense that it has constant curvature and torsion.
Keyword (in Japanese) (See Japanese page) 
(in English) Epipolar geometry / Essential matrix / spacial curve / Helix / Frenet-Frame / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 414, PRMU2010-235, pp. 171-175, Feb. 2011.
Paper # PRMU2010-235 
Date of Issue 2011-02-10 (PRMU) 
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)
Download PDF PRMU2010-235

Conference Information
Committee PRMU  
Conference Date 2011-02-17 - 2011-02-18 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To PRMU 
Conference Code 2011-02-PRMU 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Motion Estimation Using Frenet Frame 
Sub Title (in English)  
Keyword(1) Epipolar geometry  
Keyword(2) Essential matrix  
Keyword(3) spacial curve  
Keyword(4) Helix  
Keyword(5) Frenet-Frame  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Kentaro Sako  
1st Author's Affiliation Kyushu Institute of Technology (K.I.T)
2nd Author's Name Mitsuhiko Fujio  
2nd Author's Affiliation Kyushu Institute of Technology (K.I.T)
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Speaker Author-1 
Date Time 2011-02-18 15:10:00 
Presentation Time 30 minutes 
Registration for PRMU 
Paper # PRMU2010-235 
Volume (vol) vol.110 
Number (no) no.414 
Page pp.171-175 
#Pages 5 
Date of Issue 2011-02-10 (PRMU) 

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