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Paper Abstract and Keywords
Presentation 2010-03-02 09:40
Sampling Theory for Signals with Finite Rate of Innovation and Application to Image Feature Extraction
Akira Hirabayashi (Yamaguchi Univ.), Pier-Luigi Dragotti (Imperial Coll, London.) CAS2009-109 SIP2009-154 CS2009-104
Abstract (in Japanese) (See Japanese page) 
(in English) We present a survey of sampling theory for signals with a finite rate of innovations, which is one of the current hot topics in sparse sampling as well as compressed sensing. We first show that rate of innovation is a notion which corresponds to frequency, and that signal with a finite rate of innovations is a natural extension of band-limited signal. To perfectly reconstruct such signals, sampling functions have to satisfy a reproducing characteristic of polynomials or exponential functions. This characteristic enables perfect reconstruction of a periodic stream of Diracs by using the so-called annihilating filter method. Based on this result, reconstruction methods for nonuniform splines and piecewise polynomial, or that in the presence of noise are derived. We also show, as an application to image processing, a line-edge extraction method based on these sampling techniques.
Keyword (in Japanese) (See Japanese page) 
(in English) sparse sampling / signals with finite rate of innovation / spline functions / annihilating filter / image feature extraction / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 435, SIP2009-154, pp. 179-184, March 2010.
Paper # SIP2009-154 
Date of Issue 2010-02-22 (CAS, SIP, CS) 
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 CAS2009-109 SIP2009-154 CS2009-104

Conference Information
Committee SIP CAS CS  
Conference Date 2010-03-01 - 2010-03-02 
Place (in Japanese) (See Japanese page) 
Place (in English) Hotel Breeze Bay Marina, Miyakojima 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Signal processing for networking and communications, and others 
Paper Information
Registration To SIP 
Conference Code 2010-03-SIP-CAS-CS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Sampling Theory for Signals with Finite Rate of Innovation and Application to Image Feature Extraction 
Sub Title (in English)  
Keyword(1) sparse sampling  
Keyword(2) signals with finite rate of innovation  
Keyword(3) spline functions  
Keyword(4) annihilating filter  
Keyword(5) image feature extraction  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Akira Hirabayashi  
1st Author's Affiliation Yamaguchi University (Yamaguchi Univ.)
2nd Author's Name Pier-Luigi Dragotti  
2nd Author's Affiliation Imperial College London (Imperial Coll, London.)
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Speaker Author-1 
Date Time 2010-03-02 09:40:00 
Presentation Time 20 minutes 
Registration for SIP 
Paper # CAS2009-109, SIP2009-154, CS2009-104 
Volume (vol) vol.109 
Number (no) no.434(CAS), no.435(SIP), no.436(CS) 
Page pp.179-184 
#Pages 6 
Date of Issue 2010-02-22 (CAS, SIP, CS) 

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