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Paper Abstract and Keywords
Presentation 2013-11-14 08:30
A Method for Determining Parameters for 6-Point Cubic Convolution Interpolation
Hiromi Ueda (Tokyo Univ. of Tech.) CS2013-41
Abstract (in Japanese) (See Japanese page) 
(in English) The cubic convolution interpolation gives a line connected smoothly between any adjacent points for given points using cubic polynomials. The previous paper considered a 4-point cubic convolution interpolation, and then proposed a method for fixing a parameter α. This paper investigates a 6-point cubic convolution interpolation introducing a new method for determining parameters α and β. We show the values of α and β are identical to those which are derived from the feature that the second deferential of the kernel are continuous at x=±1 and ±2. We also provide numerical examples, and thus show the cubic interpolation with α and β acquired by the proposed method gives good approximation of the original function and the spline interpolation. In addition we discuss a boundary condition for the first two and the last two sections that the cubic convolution interpolation cannot deal with.
Keyword (in Japanese) (See Japanese page) 
(in English) 6-point / interpolation / cubic / convolution / spline / free parameter / eigenvalue / quadratic form  
Reference Info. IEICE Tech. Rep., vol. 113, no. 295, CS2013-41, pp. 1-8, Nov. 2013.
Paper # CS2013-41 
Date of Issue 2013-11-07 (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 CS2013-41

Conference Information
Committee CS  
Conference Date 2013-11-14 - 2013-11-15 
Place (in Japanese) (See Japanese page) 
Place (in English) Noboribetsu-onsen Dai-ichi Takimotokan (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 2013-11-CS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Method for Determining Parameters for 6-Point Cubic Convolution Interpolation 
Sub Title (in English)  
Keyword(1) 6-point  
Keyword(2) interpolation  
Keyword(3) cubic  
Keyword(4) convolution  
Keyword(5) spline  
Keyword(6) free parameter  
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.)
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Speaker Author-1 
Date Time 2013-11-14 08:30:00 
Presentation Time 15 minutes 
Registration for CS 
Paper # CS2013-41 
Volume (vol) vol.113 
Number (no) no.295 
Page pp.1-8 
#Pages 8 
Date of Issue 2013-11-07 (CS) 

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