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| Presentation | 2013-07-04 09:25 On a Cubic Convolution Interpolation Hiromi Ueda (Tokyo Univ. of Tech.)  CS2013-9 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The cubic convolution interpolation and spline interpolation are well known as a good tool for digital image processing. In particular, the cubic convolution interpolation is attractive for some area due to its smaller computational complexity. For the cubic convolution interpolation with 4 points, one free parameter α is retained. Different concepts have been used to determine this parameter; α=-1, -3/4, -1/2, and so on were presented so far. This paper proposes a different method to determine α as -3/4, and explain its rationale. We also provide numerical examples to verify this parameter. In addition we discuss a boundary condition for the first and end sections that the cubic convolution interpolation can not handle. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | convolution interpolation / spline / cubic / free parameter / eigenvalue / quadratic form / / | |
| Reference Info. | IEICE Tech. Rep., vol. 113, no. 114, CS2013-9, pp. 7-14, July 2013. | |
| Paper # | CS2013-9 | |
| Date of Issue | 2013-06-27 (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 | CS2013-9 |
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| Conference Information | |
| Committee | CS |
| Conference Date | 2013-07-04 - 2013-07-05 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Fukugogata-Kokyo-Shisetsu (Yonaguni Island) |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Next Generation Networks, Access Network, Broadband Access System, Power-Line Communications, Wireless Communication System, Coding System, etc. |
| Paper Information | |
| Registration To | CS |
| Conference Code | 2013-07-CS |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On a Cubic Convolution Interpolation |
| Sub Title (in English) | |
| Keyword(1) | convolution interpolation |
| Keyword(2) | spline |
| Keyword(3) | cubic |
| Keyword(4) | free parameter |
| Keyword(5) | eigenvalue |
| Keyword(6) | quadratic form |
| Keyword(7) | |
| Keyword(8) | |
| 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 | 2013-07-04 09:25:00 |
| Presentation Time | 25 minutes |
| Registration for | CS |
| Paper # | CS2013-9 |
| Volume (vol) | vol.113 |
| Number (no) | no.114 |
| Page | pp.7-14 |
| #Pages | 8 |
| Date of Issue | 2013-06-27 (CS) |
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