No |
214099 |
標題(和) |
A Visually Better Recovered Image Selection for Imaging Inverse Problems |
標題(英) |
A Visually Better Recovered Image Selection for Imaging Inverse Problems |
研究会名(和) |
回路とシステム, 通信方式, 信号処理 |
研究会名(英) |
Circuits and Systems, Communication Systems, Signal Processing |
開催年月日 |
2012-03-08 |
終了年月日 |
2012-03-09 |
会議種別コード |
5 |
共催団体名(和) |
|
資料番号 |
CAS2011-108, SIP2011-128, CS2011-100 |
抄録(和) |
|
抄録(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\r\ncases. 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\r\nfunction 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\r\napply 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. |
収録資料名(和) |
電子情報通信学会技術研究報告 |
収録資料の巻号 |
Vol.111, No.465,466,467 |
ページ開始 |
7 |
ページ終了 |
12 |
キーワード(和) |
|
キーワード(英) |
Image recovery,Convex optimization,Inverse problem,Hybrid steepest descent method,Douglas-Rachford splitting |
本文の言語 |
ENG |
著者(和) |
小野峻佑 |
著者(ヨミ) |
オノ シュンスケ |
著者(英) |
Shunsuke Ono |
所属機関(和) |
東京工業大学 |
所属機関(英) |
Tokyo Institute of Technology |
著者(和) |
宮田高道 |
著者(ヨミ) |
ミヤタ タカミチ |
著者(英) |
Takamichi Miyata |
所属機関(和) |
東京工業大学 |
所属機関(英) |
Tokyo Institute of Technology |
著者(和) |
山田功 |
著者(ヨミ) |
ヤマダ イサオ |
著者(英) |
Isao Yamada |
所属機関(和) |
東京工業大学 |
所属機関(英) |
Tokyo Institute of Technology |