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Paper Abstract and Keywords
Presentation 2018-01-25 14:50
A Recursive Approximation Approach of Projective Transformation for Free-Viewpoint cameras
Yusei Tadokoro (Okayama Prefectural Univ.), Masafumi Kondo (Kawasaki Univ. of Medical Welfare), Yoshihiro Sejima, Yoichiro Sato (Okayama Prefectural Univ.) CAS2017-118 ICTSSL2017-45
Abstract (in Japanese) (See Japanese page) 
(in English) Recently, the global market of security cameras is estimated 28,450,000, which is 80% more than 2010. In order to reduce the blind spot, a bird's-eye image compositing system using multiple camera images has been proposed. In this system, since the projection plane is fixed, monitoring of objects is limited to a one-way viewpoint and it is difficult to obtain detailed information about the object. To solve the above problems, we are considering the high-speed composition method of free-viewpoint moving image based on the multi-lens camera. In this paper, we propose the reduction method of the conversion coefficient by repeating function approximation recursively on the assumption that hardware implementation of the projection transformation in image composition. First, the division included in the projective transformation expression is approximated by a linear function, and the function is reduced to only addition by expressing with a recurrence formula. Next, coefficients of the approximate expression in the horizontal direction of the image are regarded as functions in the vertical direction, and the function approximation and recurrence formula expression are applied. In addition, by mapping the initial values of this recurrence formula to a new coordinate plane, it can similarly be expressed as recurrence formulas. According to the implementation results using these methods, we reduced the number of initial values by 60% and realized high-quality image composition.
Keyword (in Japanese) (See Japanese page) 
(in English) security camera / projective transformation / recurrence formula / function approximation / section dividing / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 401, ICTSSL2017-45, pp. 45-50, Jan. 2018.
Paper # ICTSSL2017-45 
Date of Issue 2018-01-18 (CAS, ICTSSL) 
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 ICTSSL CAS  
Conference Date 2018-01-25 - 2018-01-26 
Place (in Japanese) (See Japanese page) 
Place (in English) Kikai-Shinko-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Student Session, etc. 
Paper Information
Registration To ICTSSL 
Conference Code 2018-01-ICTSSL-CAS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Recursive Approximation Approach of Projective Transformation for Free-Viewpoint cameras 
Sub Title (in English)  
Keyword(1) security camera  
Keyword(2) projective transformation  
Keyword(3) recurrence formula  
Keyword(4) function approximation  
Keyword(5) section dividing  
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1st Author's Name Yusei Tadokoro  
1st Author's Affiliation Okayama Prefectural University (Okayama Prefectural Univ.)
2nd Author's Name Masafumi Kondo  
2nd Author's Affiliation Kawasaki University of Medical Welfare (Kawasaki Univ. of Medical Welfare)
3rd Author's Name Yoshihiro Sejima  
3rd Author's Affiliation Okayama Prefectural University (Okayama Prefectural Univ.)
4th Author's Name Yoichiro Sato  
4th Author's Affiliation Okayama Prefectural University (Okayama Prefectural Univ.)
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Speaker Author-1 
Date Time 2018-01-25 14:50:00 
Presentation Time 20 minutes 
Registration for ICTSSL 
Paper # CAS2017-118, ICTSSL2017-45 
Volume (vol) vol.117 
Number (no) no.400(CAS), no.401(ICTSSL) 
Page pp.45-50 
#Pages
Date of Issue 2018-01-18 (CAS, ICTSSL) 


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