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| Paper Abstract and Keywords | ||
| Presentation | 2007-05-21 16:25 Image restoration with Truncated Gaussian model Hiroyuki Tanaka, Keiji Miura (Tokyo Univ.), Masato Okada (Tokyo Univ./RIKEN)  NC2007-7 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | On the theory of image restoration, one tries to reconstruct the original image from the image to which a noise is added because of a channel or surrounding environment. A general strategy of it is to use the framework of Bayesian estimation. Under that framework, information of original image is represented by probability distribution. When considering more realistic model of original image, one should treat the boundary of the pixel value (gray scale, color, brightness, etc) correctly. The reason is that the pixel value is defined by finite region, e.g, white-to-black. However, when using the Gaussian model that is a conventional analog image model, probability density is positive outside the boundary. To solve this problem, we introduce a truncated Gaussian model (TG model). In this model, distribution is cut at upper and lower bound, and added a weight at the boundary as $\delta$ peak. In order to analyze such a nonlinear model, we introduce a generalized prior probability. This prior includes the Gaussian, Ising, Q-spin, and TG model as a special cases. Moreover, we can analytically obtain average performance of the generalized model by using the replica method. Thus, we can choose an appropriate model depending on statistical property of the image. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | statistical mechanics / replica method / image restoration / bayesian estimation / TG model / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 107, no. 50, NC2007-7, pp. 29-34, May 2007. | |
| Paper # | NC2007-7 | |
| Date of Issue | 2007-05-14 (NC) | |
| 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 | NC2007-7 |
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| Conference Information | |
| Committee | NC |
| Conference Date | 2007-05-21 - 2007-05-21 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Tokyo Inst. Tech.(Suzukakedai Campus) |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Biological Data Measurement and Analysis, etc. |
| Paper Information | |
| Registration To | NC |
| Conference Code | 2007-05-NC |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Image restoration with Truncated Gaussian model |
| Sub Title (in English) | |
| Keyword(1) | statistical mechanics |
| Keyword(2) | replica method |
| Keyword(3) | image restoration |
| Keyword(4) | bayesian estimation |
| Keyword(5) | TG model |
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| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Hiroyuki Tanaka |
| 1st Author's Affiliation | The University of Tokyo (Tokyo Univ.) |
| 2nd Author's Name | Keiji Miura |
| 2nd Author's Affiliation | The University of Tokyo (Tokyo Univ.) |
| 3rd Author's Name | Masato Okada |
| 3rd Author's Affiliation | The University of Tokyo/RIKEN (Tokyo Univ./RIKEN) |
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| Speaker | Author-1 |
| Date Time | 2007-05-21 16:25:00 |
| Presentation Time | 25 minutes |
| Registration for | NC |
| Paper # | NC2007-7 |
| Volume (vol) | vol.107 |
| Number (no) | no.50 |
| Page | pp.29-34 |
| #Pages | 6 |
| Date of Issue | 2007-05-14 (NC) |
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