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| Presentation | 2012-03-08 10:05 A Visually Better Recovered Image Selection for Imaging Inverse Problems Shunsuke Ono, Takamichi Miyata, Isao Yamada (Tokyo Inst. of Tech.)  CAS2011-108 SIP2011-128 CS2011-100 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In the last decade, many image recovery problems have been formulated as a certain nonsmooth convex minimization problem (we call it an original problem), and its minimizer, i.e., a recovery image, is not unique in some cases. In such cases, there exists visually different recovery images, and conventional image recovery techniques can not select a desired (visually better) recovery image. In this paper, we propose an optimization framework which allows us to select a better recovery image of the original problem in terms of the visual quality. First, a criteria function is introduced to choose a visually better recovery image from the set of minimizers of the original problem. Then, we formulate a hierarchical convex optimization problem which minimizes the criteria function over the set. The iterative algorithm based on the hybrid steepest descent method to solve the problem is also presented. To apply the hybrid steepest descent method to the problem, we characterize the set of the minimizers of the original problem by the Douglas-Rachford splitting operator. Numerical results showed that, in case of the total variation based recovery, a visually better recovery image can be obtained by using our method. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Image recovery / Convex optimization / Inverse problem / Hybrid steepest descent method / Douglas-Rachford splitting / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 111, no. 466, SIP2011-128, pp. 7-12, March 2012. | |
| Paper # | SIP2011-128 | |
| Date of Issue | 2012-03-01 (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 | CAS2011-108 SIP2011-128 CS2011-100 |
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| Conference Information | |
| Committee | CAS CS SIP |
| Conference Date | 2012-03-08 - 2012-03-09 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | The University of Niigata |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Network Processor, Signal Processing for communication, and Wireless LAN/PAN, etc. |
| Paper Information | |
| Registration To | SIP |
| Conference Code | 2012-03-CAS-CS-SIP |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Visually Better Recovered Image Selection for Imaging Inverse Problems |
| Sub Title (in English) | |
| Keyword(1) | Image recovery |
| Keyword(2) | Convex optimization |
| Keyword(3) | Inverse problem |
| Keyword(4) | Hybrid steepest descent method |
| Keyword(5) | Douglas-Rachford splitting |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Shunsuke Ono |
| 1st Author's Affiliation | Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
| 2nd Author's Name | Takamichi Miyata |
| 2nd Author's Affiliation | Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
| 3rd Author's Name | Isao Yamada |
| 3rd Author's Affiliation | Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
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| Speaker | Author-1 |
| Date Time | 2012-03-08 10:05:00 |
| Presentation Time | 25 minutes |
| Registration for | SIP |
| Paper # | CAS2011-108, SIP2011-128, CS2011-100 |
| Volume (vol) | vol.111 |
| Number (no) | no.465(CAS), no.466(SIP), no.467(CS) |
| Page | pp.7-12 |
| #Pages | 6 |
| Date of Issue | 2012-03-01 (CAS, SIP, CS) |
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