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Paper Abstract and Keywords
Presentation 2014-11-07 08:45
Image Reconstruction by 4- and 6-Point Cubic Convolution Interpolation
Hiromi Ueda, Takashi Kuriyama (Tokyo Univ. of Tech.), Hidemitsu Ogawa (Tokyo University of Social Welfare) CS2014-64
Abstract (in Japanese) (See Japanese page) 
(in English) We previously proposed a method for fixing a parameter α for a 4-point cubic convolution interpolation function, and got α =-3/4. Parameters α=-3/5 and β=1/5 for a 6-point one are obtained by the method. We also showed these cubic convolution interpolation functions have small errors for a smooth single variable function, in which several cubic convolution interpolation functions are compared by resampling three single variable functions. This paper summarizes the proposed method for determining parameters for cubic convolution interpolation functions, and compares the functions derived from the method with several cubic convolution interpolation functions as well as the spline interpolation function when digital images are reconstructed by them. As a result they give similar characteristics to each other because the pixel values of images are not always smooth. In addition we show errors are very small between images reconstructed by the α=-3/5 and β=1/5 cubic convolution interpolation and the spline interpolation function.
Keyword (in Japanese) (See Japanese page) 
(in English) 4-point / 6-point / interpolation / cubic / convolution / spline / eigenvalue / quadratic form  
Reference Info. IEICE Tech. Rep., vol. 114, no. 289, CS2014-64, pp. 61-68, Nov. 2014.
Paper # CS2014-64 
Date of Issue 2014-10-30 (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)
Notes on Review This article is a technical report without peer review, and its polished version will be published elsewhere.
Download PDF CS2014-64

Conference Information
Committee CS  
Conference Date 2014-11-06 - 2014-11-07 
Place (in Japanese) (See Japanese page) 
Place (in English) Shiretoko (Hokkaido) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Broadband Access Systems, Home Networks, Network Services, Applications for Communications, etc. 
Paper Information
Registration To CS 
Conference Code 2014-11-CS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Image Reconstruction by 4- and 6-Point Cubic Convolution Interpolation 
Sub Title (in English)  
Keyword(1) 4-point  
Keyword(2) 6-point  
Keyword(3) interpolation  
Keyword(4) cubic  
Keyword(5) convolution  
Keyword(6) spline  
Keyword(7) eigenvalue  
Keyword(8) quadratic form  
1st Author's Name Hiromi Ueda  
1st Author's Affiliation Tokyo University of Technology (Tokyo Univ. of Tech.)
2nd Author's Name Takashi Kuriyama  
2nd Author's Affiliation Tokyo University of Technology (Tokyo Univ. of Tech.)
3rd Author's Name Hidemitsu Ogawa  
3rd Author's Affiliation Tokyo University of Social Welfare (Tokyo University of Social Welfare)
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Speaker Author-1 
Date Time 2014-11-07 08:45:00 
Presentation Time 15 minutes 
Registration for CS 
Paper # CS2014-64 
Volume (vol) vol.114 
Number (no) no.289 
Page pp.61-68 
#Pages 8 
Date of Issue 2014-10-30 (CS) 

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