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凸最適化を用いた高精細画像復元法の構築と主要な画像復元問題への応用

Research Project

Project/Area Number 12J02522
Research Category

Grant-in-Aid for JSPS Fellows

Allocation TypeSingle-year Grants
Section国内
Research Field Sensitivity informatics/Soft computing
Research InstitutionTokyo Institute of Technology

Principal Investigator

小野 峻佑  東京工業大学, 像情報工学研究所, 助教

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥2,700,000 (Direct Cost: ¥2,700,000)
Fiscal Year 2014: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2013: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2012: ¥900,000 (Direct Cost: ¥900,000)
Keywords画像復元 / 信号復元 / 凸最適化 / 正則化
Outline of Annual Research Achievements

本年度は,昨年度までに基礎的な検討を終えていた1.信号(画像)復元のための階層型凸最適化アルゴリズムの研究,および2.画像復元における複雑なデータ忠実性制約を扱うアルゴリズムの研究,に関して,より検討を深めるとともに,学術誌へ投稿できる段階まで結果をまとめた.これらのアルゴリズムは,観測情報に欠損がある場合や非ガウス性の雑音が含まれる場合に高精細な画像復元を達成するために必要不可欠な最適化技術であり,研究の目的の達成に大きく貢献するところである.実際に,1.の成果に関しては信号処理に関するトップジャーナルである IEEE Transactions on Signal Processing の2015年2月号に掲載された.また,2.の成果に関しては現在同ジャーナルに投稿中であり,条件付採録の結果を得ている.
加えて,本年度は,近年注目を集めている「グラフ信号処理」のための一般化全変動正則化技術の提案も行った.グラフ信号は画像を含むあらゆる信号を一般化した概念であり,画像を扱う場合でも,その非局所的自己類似性(non-local similarity)を明示的にモデル化できる.故に,今回提案したグラフ信号正則化技術は高精細画像復元にも大いに役立つ技術である.こちらの成果は信号処理分野のトップカンファレンスである IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) 2015 に投稿し,採択が決定している.

Research Progress Status

26年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

26年度が最終年度であるため、記入しない。

Report

(3 results)
  • 2014 Annual Research Report
  • 2013 Annual Research Report
  • 2012 Annual Research Report
  • Research Products

    (44 results)

All 2015 2014 2013 2012

All Journal Article (6 results) (of which Peer Reviewed: 6 results,  Acknowledgement Compliant: 3 results) Presentation (38 results) (of which Invited: 4 results)

  • [Journal Article] Hierarchical Convex Optimization with Primal-Dual Splitting2015

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Journal Title

      IEEE Transactions on Signal Processing

      Volume: 63 Issue: 2 Pages: 373-388

    • DOI

      10.1109/tsp.2014.2373318

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Active Data Selection for Motor Imagery EEG Classification2014

    • Author(s)
      Naoki Tomida, Toshihisa Tanaka, Shunsuke Ono, Masao Yamagishi, Hiroshi Higashi
    • Journal Title

      IEEE Transactions on Biomedical Engineering

      Volume: 62 Issue: 2 Pages: 458-467

    • DOI

      10.1109/tbme.2014.2358536

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] フラッシュ画像とノンフラッシュ画像の凸最適化による画像合成2014

    • Author(s)
      馬場 達也 松岡 諒 小野 峻佑 白井 啓一郎 奥田 正浩
    • Journal Title

      電子情報通信学会論文誌 D

      Volume: J97-D Pages: 1406-1415

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Cartoon-Texture Image Decomposition Using Blockwise Low-Rank Texture Characterization2014

    • Author(s)
      Shunsuke Ono, Takamichi Miyata, Isao Yamada
    • Journal Title

      IEEE Transactions on Image Processing

      Volume: 23 Issue: 3 Pages: 1128-1142

    • DOI

      10.1109/tip.2014.2299067

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Exploiting Group Sparsity in Nonlinear Acoustic Echo Cancellation by Adaptive Proximal Forward-Backward Splitting2013

    • Author(s)
      Hiroki KURODA, Shunsuke ONO, Masao YAMAGISHI, Isao YAMADA
    • Journal Title

      IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: 10 Pages: 1918-1927

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Image Recovery by Decomposition with Component-Wise Regularization2012

    • Author(s)
      Shunsuke Ono, Takamichi Miyata, Isao Yamada, Katsunori Yamaoka
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E95.A Issue: 12 Pages: 2470-2478

    • DOI

      10.1587/transfun.E95.A.2470

    • NAID

      10031161383

    • ISSN
      0916-8508, 1745-1337
    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Presentation] Total Generalized Variation for Graph Signals2015

    • Author(s)
      Shunsuke Ono, Isao Yamada, Itsuo Kumazawa
    • Organizer
      IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) 2015
    • Place of Presentation
      Brisbane Convention & Exhibition Centre, Brisbane, Australia
    • Year and Date
      2015-04-21 – 2015-04-24
    • Related Report
      2014 Annual Research Report
  • [Presentation] Image Restoration by Stochastic Proximal Optimization2015

    • Author(s)
      Shunsuke Ono, Takamichi Miyata, Itsuo Kumazawa
    • Organizer
      IEICE Technical Workshop on Signal Processing
    • Place of Presentation
      沖縄県 石垣市 ホテルミヤヒラ(石垣島)
    • Year and Date
      2015-03-02 – 2015-03-03
    • Related Report
      2014 Annual Research Report
  • [Presentation] Fast image inpainting using Chebyshev polynomial approximation2015

    • Author(s)
      Masaki Onuki, Shunsuke Ono, Keiichiro Shirai, Yuichi Tanaka
    • Organizer
      IEICE Technical Workshop on Signal Processing
    • Place of Presentation
      沖縄県 石垣市 ホテルミヤヒラ(石垣島)
    • Year and Date
      2015-03-02 – 2015-03-03
    • Related Report
      2014 Annual Research Report
  • [Presentation] A Constrained Use of Total Generalized Variation2014

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      IEICE SIP Symposium 2014
    • Place of Presentation
      京都府 京都市 ビナリオ嵯峨嵐山
    • Year and Date
      2014-11-12 – 2014-11-14
    • Related Report
      2014 Annual Research Report
  • [Presentation] Reflection Edge Detection from a Single Image and Its Applications2014

    • Author(s)
      Katsuhiro Toyokawa, Shunsuke Ono, Masao Yamagishi, Isao Yamada
    • Organizer
      IEICE SIP Symposium 2014
    • Place of Presentation
      京都府 京都市 ビナリオ嵯峨嵐山
    • Year and Date
      2014-11-12 – 2014-11-14
    • Related Report
      2014 Annual Research Report
  • [Presentation] Optimization of Spectral-Domain Graph Filters Inspired by Subspace Infromation Criterion2014

    • Author(s)
      Masaki Onuki, Shunsuke Ono, Masao Yamagishi
    • Organizer
      IEICE SIP Symposium 2014
    • Place of Presentation
      京都府 京都市 ビナリオ嵯峨嵐山
    • Year and Date
      2014-11-12 – 2014-11-14
    • Related Report
      2014 Annual Research Report
  • [Presentation] Decorrelated Vectorial Total Variation (Invited talk from CVPR2014 papers)2014

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      MIRU2014
    • Place of Presentation
      岡山県 岡山市 岡山コンベンションセンター
    • Year and Date
      2014-07-28 – 2014-07-31
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Decorrelated Vectorial Total Variation2014

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      IEEE Conference on Computer Vision and Pattern Recognition (CVPR) 2014
    • Place of Presentation
      Greater Columbus Convention Center, Columbus, OH
    • Year and Date
      2014-06-24 – 2014-06-27
    • Related Report
      2014 Annual Research Report
  • [Presentation] Decorrelated Vectorial Total Variation2014

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      IEEE CVPR 2014
    • Place of Presentation
      OH, Columbus(発表確定)
    • Year and Date
      2014-06-24
    • Related Report
      2013 Annual Research Report
  • [Presentation] Second-Order Total Generalized Variation Constraint2014

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) 2015
    • Place of Presentation
      Fortezza da Basso, Florence, Italy
    • Year and Date
      2014-05-06 – 2014-05-09
    • Related Report
      2014 Annual Research Report
  • [Presentation] Detecting Edges of Reflections from a Single Image via Convex Optimization2014

    • Author(s)
      Katsuhiro Toyokawa, Shunsuke Ono, Masao Yamagishi, Isao Yamada
    • Organizer
      IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) 2015
    • Place of Presentation
      Fortezza da Basso, Florence, Italy
    • Year and Date
      2014-05-06 – 2014-05-09
    • Related Report
      2014 Annual Research Report
  • [Presentation] Flash/No-flash Image Integration Using Convex Optimization2014

    • Author(s)
      Tatsuya Baba, Ryo Matsuoka, Shunsuke Ono, Keiichiro Shirai, Masahiro Okuda
    • Organizer
      IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) 2015
    • Place of Presentation
      Fortezza da Basso, Florence, Italy
    • Year and Date
      2014-05-06 – 2014-05-09
    • Related Report
      2014 Annual Research Report
  • [Presentation] Second-Order Total Generalized Variation Constraint2014

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      IEEE ICASSP 2014
    • Place of Presentation
      Italy, Firenz(発表確定)
    • Year and Date
      2014-05-04
    • Related Report
      2013 Annual Research Report
  • [Presentation] Detecting Edges of Reflections from a Single Image via Convex Optimization2014

    • Author(s)
      Katsuhiro Toyokawa, Shunsuke Ono, Masao Yamagishi, Isao Yamada
    • Organizer
      IEEE ICASSP 2014
    • Place of Presentation
      Italy, Firenze(発表確定)
    • Year and Date
      2014-05-04
    • Related Report
      2013 Annual Research Report
  • [Presentation] Flash/No-flash Image Integration Using Convex Optimization2014

    • Author(s)
      Tatsuya Baba, Ryo Matsuoka, Shunsuke Ono, Keiichiro Shirai, Masahiro Okuda
    • Organizer
      IEEE ICASSP 2014
    • Place of Presentation
      Italy, Firenze(発表確定)
    • Year and Date
      2014-05-04
    • Related Report
      2013 Annual Research Report
  • [Presentation] 画像解析・処理のための凸最適化~核ノルムの応用事例を中心として~2014

    • Author(s)
      小野 峻佑、山岸 昌夫、山田 功
    • Organizer
      電子情報通信学会 パターン認識・メディア理解研究会
    • Place of Presentation
      福岡大学
    • Year and Date
      2014-02-14
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Vectorial Total Variation in Decorrelated Color Space2013

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      信号処理シンポジウム2013
    • Place of Presentation
      海峡メッセ下関
    • Year and Date
      2013-11-20
    • Related Report
      2013 Annual Research Report
  • [Presentation] Simultaneous Decompression and Enlargement of JPEG Images Using Total Generalized Variation2013

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      信号処理シンポジウム 2013
    • Place of Presentation
      海峡メッセ下関
    • Year and Date
      2013-11-20
    • Related Report
      2013 Annual Research Report
  • [Presentation] 凸然わかる凸最適化2013

    • Author(s)
      山岸 昌夫、小野 峻佑
    • Organizer
      信号処理シンポジウム2013
    • Place of Presentation
      海峡メッセ下関
    • Year and Date
      2013-11-20
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Detecting Reflection Edges from a Single Image via Redundant Color Information2013

    • Author(s)
      Katsuhiro Toyokawa, Shunsuke Ono, Masao Yamagishi, Isao Yamada
    • Organizer
      信号処理シンポジウム 2013
    • Place of Presentation
      海峡メッセ下関
    • Year and Date
      2013-11-20
    • Related Report
      2013 Annual Research Report
  • [Presentation] 局所的色線形性に基づくPrior2013

    • Author(s)
      小野 峻佑、山田 功
    • Organizer
      IMPS 2013
    • Place of Presentation
      ニューウェルシティ湯河原
    • Year and Date
      2013-11-06
    • Related Report
      2013 Annual Research Report
  • [Presentation] Optimized JPEG Image Decompression with Super-Resolution Interpolation Using Multi-Order Total Variation2013

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      IEEE ICIP 2013
    • Place of Presentation
      Australia, Melbourne
    • Year and Date
      2013-09-13
    • Related Report
      2013 Annual Research Report
  • [Presentation] Signal Recovery by Minimizing the Moreau Envelope Over the Fixed Point Set of Nonexpansive Mappings2013

    • Author(s)
      Isao Yamada, Shunsuke Ono
    • Organizer
      EUSIPCO 2013
    • Place of Presentation
      Morocco, Marrakech
    • Year and Date
      2013-09-09
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Overlapped Local Color Nuclear Norm and Its Constrained Use2013

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      電子情報通信学会 信号処理研究会
    • Place of Presentation
      東京農工大学
    • Year and Date
      2013-08-29
    • Related Report
      2013 Annual Research Report
  • [Presentation] フラッシュ画像のテクスチャ成分を用いたコントラスト強調2013

    • Author(s)
      馬場 達也、松岡 諒、小野 峻佑、白井 啓一郎、奥田 正浩
    • Organizer
      電子情報通信学会 信号処理研究会
    • Place of Presentation
      東京農工大学
    • Year and Date
      2013-08-29
    • Related Report
      2013 Annual Research Report
  • [Presentation] A Convex Regularizer for Reducing Color Artifact in Color Image Recovery (Invited talk from CVPR2013 papers)2013

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      MIRU 2013
    • Place of Presentation
      国立情報学研究所
    • Year and Date
      2013-07-30
    • Related Report
      2013 Annual Research Report
  • [Presentation] A Convex Regularizer for Reducing Color Artifact in Color Image Recovery2013

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      Computer Vision and Pattern Recognition 2013 (CVPR 2013)
    • Place of Presentation
      Portland, OR(発表確定)
    • Year and Date
      2013-06-26
    • Related Report
      2012 Annual Research Report
  • [Presentation] Poisson Image Restoration with Likelihood Constraint via Hybrid Steepest Descent Method2013

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      IEEE ICASSP2013
    • Place of Presentation
      Vancouver, Canada(発表確定)
    • Year and Date
      2013-05-28
    • Related Report
      2012 Annual Research Report
  • [Presentation] A Sparse System Identification by Using Adaptively-Weighted Total Variation via A Primal-Dual Splitting Approach2013

    • Author(s)
      Shunsuke Ono, Masao Yamagishi, Isao Yamada
    • Organizer
      IEEE ICASSP2013
    • Place of Presentation
      Vancouver, Canada(発表確定)
    • Year and Date
      2013-05-28
    • Related Report
      2012 Annual Research Report
  • [Presentation] Blockwise Low-Rank Prior for Cartoon-Texture Image Decomposition2013

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      電子情報通信学会 信号処理研究会
    • Place of Presentation
      岡山大学
    • Year and Date
      2013-05-16
    • Related Report
      2013 Annual Research Report
  • [Presentation] Detecting Reflection from Single Image Based on Nuclear Norm Minimization2013

    • Author(s)
      Katsuhiro Toyokawa, Shunsuke Ono, Masao Yamagishi, Isao Yamada
    • Organizer
      電子情報通信学会 信号処理研究会
    • Place of Presentation
      岡山大学
    • Year and Date
      2013-05-16
    • Related Report
      2013 Annual Research Report
  • [Presentation] A Hierarchical Convex Optimization Approach for High Fidelity Solution Selection in Image Recovery2012

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      APSIPA Annual Summit and Conference 2012
    • Place of Presentation
      Hollywood, CA(招待講演)
    • Year and Date
      2012-12-05
    • Related Report
      2012 Annual Research Report
  • [Presentation] Variants of the Alternating Direction Method of Multipliers with Rate of Convergence $ ¥ mathcal{O}(1/k) $2012

    • Author(s)
      Masao Yamagishi, Shunsuke Ono, Isao Yamada
    • Organizer
      IEICE SIP Symposium 2012
    • Place of Presentation
      ANAインターコンチネンタル石垣リゾート, 沖縄
    • Year and Date
      2012-11-29
    • Related Report
      2012 Annual Research Report
  • [Presentation] An Adaptive Filtering Based on A Primal-Dual Splitting Characterization2012

    • Author(s)
      Shunsuke Ono, Masao Yamagishi, Isao Yamada
    • Organizer
      IEICE SIP Symposium 2012
    • Place of Presentation
      ANAインターコンチネンタル石垣リゾート,沖縄
    • Year and Date
      2012-11-28
    • Related Report
      2012 Annual Research Report
  • [Presentation] A Likelihood Constrained Poissonian Image Recovery via The Hybrid Steepest Descent Method2012

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      IEICE SIP Symposium 2012
    • Place of Presentation
      ANAインターコンチネンタル石垣リゾート, 沖縄
    • Year and Date
      2012-11-28
    • Related Report
      2012 Annual Research Report
  • [Presentation] ブロック核ノルムの提案とその画像処理応用2012

    • Author(s)
      小野峻佑, 宮田高道, 山田功
    • Organizer
      2012年映像メディア処理シンポジウム
    • Place of Presentation
      ニューウェールシティ湯河原, 神奈川
    • Year and Date
      2012-10-26
    • Related Report
      2012 Annual Research Report
  • [Presentation] 階層型凸最適化による画像復元法2012

    • Author(s)
      小野峻佑, 山田功
    • Organizer
      2012年映像メディア処理シンポジウム
    • Place of Presentation
      ニューウェールシティ湯河原, 神奈川
    • Year and Date
      2012-10-25
    • Related Report
      2012 Annual Research Report
  • [Presentation] Image Recovery by Hierarchical Convex Optimization2012

    • Author(s)
      Shunsuke Ono, Isao Yamada
    • Organizer
      IEICE Society Conference 2012
    • Place of Presentation
      富山大学, 富山
    • Year and Date
      2012-09-11
    • Related Report
      2012 Annual Research Report

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Published: 2013-04-25   Modified: 2024-03-26  

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