講演抄録/キーワード |
講演名 |
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 |
抄録 |
(和) |
(まだ登録されていません) |
(英) |
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. |
キーワード |
(和) |
/ / / / / / / |
(英) |
Image recovery / Convex optimization / Inverse problem / Hybrid steepest descent method / Douglas-Rachford splitting / / / |
文献情報 |
信学技報, vol. 111, no. 466, SIP2011-128, pp. 7-12, 2012年3月. |
資料番号 |
SIP2011-128 |
発行日 |
2012-03-01 (CAS, SIP, CS) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
著作権に ついて |
技術研究報告に掲載された論文の著作権は電子情報通信学会に帰属します.(許諾番号:10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
PDFダウンロード |
CAS2011-108 SIP2011-128 CS2011-100 |
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