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Paper Abstract and Keywords
Presentation 2017-05-25 13:30
Comprehensive Performance Analysis on Constant-time Gaussian Filter based on Discrete Cosine Transform
Kenjiro Sugimoto (Waseda Univ.), Seisuke Kyochi (Univ. of Kitakyushu), Sei-ichiro Kamata (Waseda Univ.) SIP2017-4 IE2017-4 PRMU2017-4 MI2017-4
Abstract (in Japanese) (See Japanese page) 
(in English) Most of constant-time Gaussian filters ($O(1)$ GF) based on the Discrete Cosine Transform (DCT), which provide high performance tradeoff between approximation accuracy and computational complexity, has a general framework that a Gaussian kernel is approximated by few cosine terms
and then each cosine term is convolved in a constant-time manner. It is well known that DCT has the eight types of definitions but, for $O(1)$ GF, all the DCT types have not been studied comprehensively. This comprehensive analysis is important to clarify differences of $O(1)$ GF derived from each DCT. This paper analyses the eight-types of DCT using a general form of them and clarifies their differences for $O(1)$ GF. In addition, this paper derives a moment-preserving Gaussian approximation
for DCT-1,3,5,7 from a viewpoint of convex optimization.
Keyword (in Japanese) (See Japanese page) 
(in English) Constant-time Gaussian filter / Discrete cosine transform / Sliding transform / moments / / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 48, IE2017-4, pp. 19-24, May 2017.
Paper # IE2017-4 
Date of Issue 2017-05-18 (SIP, IE, PRMU, MI) 
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 SIP2017-4 IE2017-4 PRMU2017-4 MI2017-4

Conference Information
Committee PRMU IE MI SIP  
Conference Date 2017-05-25 - 2017-05-26 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IE 
Conference Code 2017-05-PRMU-IE-MI-SIP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Comprehensive Performance Analysis on Constant-time Gaussian Filter based on Discrete Cosine Transform 
Sub Title (in English)  
Keyword(1) Constant-time Gaussian filter  
Keyword(2) Discrete cosine transform  
Keyword(3) Sliding transform  
Keyword(4) moments  
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1st Author's Name Kenjiro Sugimoto  
1st Author's Affiliation Waseda University (Waseda Univ.)
2nd Author's Name Seisuke Kyochi  
2nd Author's Affiliation The University of Kitakyushu (Univ. of Kitakyushu)
3rd Author's Name Sei-ichiro Kamata  
3rd Author's Affiliation Waseda University (Waseda Univ.)
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Speaker Author-1 
Date Time 2017-05-25 13:30:00 
Presentation Time 30 minutes 
Registration for IE 
Paper # SIP2017-4, IE2017-4, PRMU2017-4, MI2017-4 
Volume (vol) vol.117 
Number (no) no.47(SIP), no.48(IE), no.49(PRMU), no.50(MI) 
Page pp.19-24 
#Pages 6 
Date of Issue 2017-05-18 (SIP, IE, PRMU, MI) 

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