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Adaptive image restoration method based on generalized principal component analysis and its application

Research Project

Project/Area Number 16K16091
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Perceptual information processing
Research InstitutionTokai University (2018)
Tokyo University of Science (2016-2017)

Principal Investigator

Takahashi Tomohiro  東海大学, 情報理工学部, 助教 (40756300)

Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Keywords画像修復 / 信号復元 / 一般化主成分分析 / ランク最小化 / スパース最適化 / スパースモデリング / スイッチングモデル / 同時最適化 / 信号修復 / 部分空間クラスタリング / TV最小化 / 情報通信工学 / 感性情報学 / 画像 / モデル化
Outline of Final Research Achievements

In this study, an image repair problem in which an arbitrary part of an image is regarded as a missing part and the missing part is restored from the information of the circumference was handled, and it aimed at the construction of an image repair technique with high accuracy based on the generalized principal component analysis.
Research carried out during the study period and its results are (1) a proposal of an image repair algorithm that is robust to model deviation using sparse optimization, and (2) a proposal of a signal repair method using generalized principal component analysis.
One peer-reviewed paper was adopted for (1), and one peer-reviewed paper and 2 conferences awards for (2) were highly evaluated.

Academic Significance and Societal Importance of the Research Achievements

本研究のようにスイッチングモデルを仮定し,最適化によってモデルの推定,ピクセルとモデルの対応関係推定,欠損ピクセルの修復の3つを同時に行う手法は他に無く,この点に特色と独創性がある.本研究によって画像修復精度が向上し,商用写真加工の現場でのコスト軽減が期待される.また,本研究で確立されるいくつかの手法は,画像修復のみにとどまらず,信号修復理論一般へ波及すると考えられ,その点からも本テーマの意義は大きい.

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (13 results)

All 2019 2018 2017 2016

All Journal Article (3 results) (of which Peer Reviewed: 3 results,  Open Access: 1 results) Presentation (10 results) (of which Int'l Joint Research: 4 results)

  • [Journal Article] Multiple Matrix Rank Minimization Approach to Audio Declipping2018

    • Author(s)
      R. Sasaki, K. Konishi, T. Takahashi
    • Journal Title

      IEICE Transaction on Information and Systems

      Volume: 101 Pages: 821-825

    • NAID

      130006414077

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multiple Matrix Rank Minimization Approach to Audio Declipping2018

    • Author(s)
      R. Sasaki, K. Konishi, T. Takahashi, T. Furukawa
    • Journal Title

      IEICE Transactions on Information and Systems

      Volume: E101.D Issue: 3 Pages: 821-825

    • DOI

      10.1587/transinf.2017EDL8129

    • NAID

      130006414077

    • ISSN
      0916-8532, 1745-1361
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Iterative Reweighted Image Inpainting Using Robustness to Outliers of L1 Norm Minimization2017

    • Author(s)
      高橋 智博、中西 正樹、雨車 和憲、古川 利博
    • Journal Title

      電子情報通信学会論文誌D 情報・システム

      Volume: J100-D Issue: 10 Pages: 897-901

    • DOI

      10.14923/transinfj.2017JDL8004

    • ISSN
      1880-4535, 1881-0225
    • Year and Date
      2017-10-01
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Presentation] Multi resolution block Hankel matrices rank minimization based image inpainting2019

    • Author(s)
      T. Takahashi, K. Konishi, K. Uruma and T. Furukawa
    • Organizer
      RISP International Workshop on NCSP
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 局所次元削減に基づく多様体上の部分欠損修復と画像修復への応用2018

    • Author(s)
      佐々木 亮平, 小西 克巳, 高橋 智博, 古川 利博
    • Organizer
      第31回回路とシステムワークショップ
    • Related Report
      2018 Annual Research Report
  • [Presentation] Low-Rank and Locally Linear Embedding Approach to Image Inpainting2018

    • Author(s)
      R. Sasaki, K. Konishi, T. Takahashi, T. Furukawa
    • Organizer
      IEEE VCIP
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Subspace clustering and multiple matrix rank minimization approach to image inpainting algorithm2017

    • Author(s)
      T. Takahashi, K. Konishi, K. Uruma and T. Furukawa
    • Organizer
      SICE annual conference
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 行列ランク最小化とスパース正則化を用いた複数の部分空間同定に基づく行列完成手法の提案2017

    • Author(s)
      佐々木亮平,小西克巳,雨車和憲,高橋智博,古川利博
    • Organizer
      32nd SIPシンポジウム
    • Related Report
      2017 Research-status Report
  • [Presentation] 一般化主成分分析に基づくSwitched ARモデル同定手法と音声修復への応用2016

    • Author(s)
      佐々木亮平,高橋智博,小西克巳,古川利博
    • Organizer
      第59回自動制御連合会
    • Place of Presentation
      福岡
    • Year and Date
      2016-11-10
    • Related Report
      2016 Research-status Report
  • [Presentation] 行列ランク最小化に基づく一般化主成分分析手法による音声修復手法2016

    • Author(s)
      佐々木亮平,高橋智博,小西克巳,古川利博
    • Organizer
      第31回信号処理シンポジウム
    • Place of Presentation
      大阪
    • Year and Date
      2016-11-08
    • Related Report
      2016 Research-status Report
  • [Presentation] Adaptive image inpainting algorithm based on generalized principal component analysis2016

    • Author(s)
      T. Takahashi, K. Konishi, K. Uruma, T. Furukawa
    • Organizer
      IEEE IVMSP
    • Place of Presentation
      ボルドー,フランス
    • Year and Date
      2016-07-11
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] スパース正則化と一般化主成分分析に基づく適応画像修復2016

    • Author(s)
      高橋智博,小西克巳,雨車和憲,古川利博
    • Organizer
      第29回 回路とシステムワークショップ
    • Place of Presentation
      福岡
    • Year and Date
      2016-05-12
    • Related Report
      2016 Research-status Report
  • [Presentation] 繰り返し核ノルム最小化を用いたクリッピングノイズ除去2016

    • Author(s)
      佐々木 亮平,高橋 智博,小西 克巳,古川 利博
    • Organizer
      第29回 回路とシステムワークショップ
    • Place of Presentation
      福岡
    • Year and Date
      2016-05-12
    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2020-03-30  

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