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Learning of translation-invariant image model with subspace sparsity and its applications to image processing

Research Project

Project/Area Number 23500210
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Perception information processing/Intelligent robotics
Research InstitutionChiba Institute of Technology (2012-2013)
Osaka University (2011)

Principal Investigator

NAKASHIZUKA Makoto  千葉工業大学, 工学部, 教授 (10251787)

Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords画像情報処理 / 基底系学習 / スパース信号表現 / スパース正則化 / 教師なし学習 / 画像処理 / 画像表現 / 画像復元 / 雑音除去 / 信号処理 / スパース性 / 信号分解 / 画像モデル / 信号解析 / 信号生成モデル / 信号識別モデル / 画像特徴抽出 / 基底学習
Research Abstract

In this study, image models based on subspace sparsity is proposed. Both the synthesis and analysis image model are proposed for image recovery problem. For image synthesis model, an image is approximated as a linear combination of translated generating atoms, which represent micro structures of the image. In order to learn the local structures, the sparsity is imposed on the numbers of the translated atoms and the subspaces that are spanned by the generating atoms simultaneously. The learnt generating atoms are successfully applied to single-image super resolution problem. For image analysis model, nonlinear filters are introduced to definition of the subspace of images. The image recovery problem is achieved by minimizing the norm that is defined between the subspace of the image and the degraded image. The proposed nonlinear analysis model is applied to denoisng problem. The proposed model obtains superior results comparing with the linear analysis model.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (24 results)

All 2013 2012 2011

All Journal Article (8 results) (of which Peer Reviewed: 7 results) Presentation (16 results)

  • [Journal Article] An Adaptation Method for Morphological Opening Filters with a Smoothness Penalty on Structuring Elements2013

    • Author(s)
      Makoto NAKASHIZUKA, Yu ASHIHARA, Yoji IIGUNI
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E96.A Issue: 6 Pages: 1468-1477

    • DOI

      10.1587/transfun.E96.A.1468

    • NAID

      130003370669

    • ISSN
      0916-8508, 1745-1337
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] An adaptation method for morphological opening filters with a smootheness penalty on structuring elements2013

    • Author(s)
      Makoto Nakashizuka, Yu Ashihara, Yuji Iiguni
    • Journal Title

      IEICE Transactions on Fundamentals

      Volume: E96-A Pages: 1-10

    • NAID

      10031193835

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Supervised Single-Channel Speech Separation via Sparse Decomposition Using Periodic Signal Models2012

    • Author(s)
      Makoto Nakashizuka, Hiroyuki Okumura, Yuji Iiguni
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E95.A Issue: 5 Pages: 853-866

    • DOI

      10.1587/transfun.E95.A.853

    • NAID

      130002133672

    • ISSN
      0916-8508, 1745-1337
    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Supervised single-channel speech separation via sprse decomposition using periodic signal models2012

    • Author(s)
      Makoto Nakashizuka, Hiroyuki Okumura, Yuji Iiguni
    • Journal Title

      IEICE Transactions on Fundamentals

      Volume: E95-A Pages: 853-866

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] スパース信号表現とその画像処理応用2011

    • Author(s)
      中静 真
    • Journal Title

      映像情報メディア学会誌

      Volume: 10 Pages: 1381-1386

    • NAID

      110009669055

    • Related Report
      2011 Research-status Report
  • [Journal Article] Morphological regularization for adaptation of image opening2011

    • Author(s)
      Makoto Nakashizuka, Yu Ashihara, Youji Iiguni
    • Journal Title

      Proceedings of the 17th European Signal Processing Conference

      Volume: 1 Pages: 1688-1692

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Audio signal recovery from random sampling with sparsity prior on frequency spectrum2011

    • Author(s)
      Takayuki Sasaki, Makoto Nakashizuka, Youji Iiguni
    • Journal Title

      Proceedings of the 26th International Technical Conference on Circuits/Systems, Computers and Communications

      Volume: 1 Pages: 447-450

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] An adaptation method for morphological image opening for texture denoising2011

    • Author(s)
      Yu Ashihara, Makoto Nakashizuka, Youji Iiguni
    • Journal Title

      Proceedings of the 26th International Technical Conference on Circuits/Systems, Computers and Communications

      Volume: 1 Pages: 914-917

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] Image regularization with soft morphological image prior2013

    • Author(s)
      Makoto Nakashizuka
    • Organizer
      SISA2013
    • Place of Presentation
      Aichi Industry & Labor Center, Nagoya
    • Year and Date
      2013-09-30
    • Related Report
      2013 Final Research Report
  • [Presentation] Soft morphological image prior2013

    • Author(s)
      Makoto Nakashizuka
    • Organizer
      EUSIPCO2013
    • Place of Presentation
      Palaris de Congress, Marrakech
    • Year and Date
      2013-09-12
    • Related Report
      2013 Final Research Report
  • [Presentation] Soft morphological image prior2013

    • Author(s)
      Makoto NAKASHIZUKA
    • Organizer
      2013 European Signal Processing Conference
    • Place of Presentation
      Palais de Congres, Marrakech, Morocco
    • Related Report
      2013 Annual Research Report
  • [Presentation] Image reguralization with soft morphological priors2013

    • Author(s)
      Makoto NAKASHIZUKA
    • Organizer
      2013 International Workshop on Smart Info-Media Systems in Asia
    • Place of Presentation
      Aichi Industry & Labor Center, Nagoya, Japan
    • Related Report
      2013 Annual Research Report
  • [Presentation] モフォロジフィルタのルート画像近似と画像復元への応用2012

    • Author(s)
      中静 真, 蘆原 優
    • Organizer
      電子情報通信学会スマートインフォメディア研究会
    • Place of Presentation
      日本大学生産工学部, 習志野市
    • Year and Date
      2012-12-13
    • Related Report
      2013 Final Research Report
  • [Presentation] モフォロジフィルタを正則化項に用いた画像復元2012

    • Author(s)
      蘆原 優, 中静 真, 飯國洋二
    • Organizer
      第27回信号処理シンポジウム
    • Place of Presentation
      全日空ホテル, 石垣島
    • Year and Date
      2012-11-29
    • Related Report
      2013 Final Research Report
  • [Presentation] スパースペナルティを課した信号識別モデルによるスパース周期信号分解2012

    • Author(s)
      佐々木崇元, 中静 真, 飯國洋二
    • Organizer
      第27回信号処理シンポジウム
    • Place of Presentation
      全日空ホテル, 石垣島
    • Year and Date
      2012-11-29
    • Related Report
      2013 Final Research Report
  • [Presentation] 外れ値の除去を伴う事例ベース画像インペインティング法2012

    • Author(s)
      三崎寛晃, 中静 真, 飯國洋二
    • Organizer
      電子情報通信学会信号処理研究会技術報告
    • Place of Presentation
      大阪大学中之島センター(大阪府)
    • Related Report
      2012 Research-status Report
  • [Presentation] スパースペナルティを課した信号識別モデルによるスパース周期信号分解2012

    • Author(s)
      佐々木 崇元,中静 真,飯國 洋二
    • Organizer
      電子情報通信学会 第27回信号処理シンポジウム
    • Place of Presentation
      石垣島全日空ホテル(沖縄県)
    • Related Report
      2012 Research-status Report
  • [Presentation] モルフォロジフィルタを正則化項に用いた画像復元2012

    • Author(s)
      蘆原 優, 中静 真, 飯國洋二
    • Organizer
      電子情報通信学会 第27回信号処理シンポジウム
    • Place of Presentation
      石垣島全日空ホテル(沖縄県)
    • Related Report
      2012 Research-status Report
  • [Presentation] モルフォロジフィルタのルート画像近似と画像復元への応用2012

    • Author(s)
      中静 真, 蘆原 優
    • Organizer
      電子情報通信学会スマートインフォメディア研究会技術報告
    • Place of Presentation
      日本大学生産工学部(千葉県)
    • Related Report
      2012 Research-status Report
  • [Presentation] 識別モデルに基づくスパース信号分解とその周期信号分離への応用2011

    • Author(s)
      中静 真, 石井祐太, 飯國洋二
    • Organizer
      第26回信号処理シンポジウム
    • Place of Presentation
      札幌コベションセンター, 札幌
    • Year and Date
      2011-11-16
    • Related Report
      2013 Final Research Report
  • [Presentation] Morphological regularization for adaptation of image opening2011

    • Author(s)
      Makoto Nakashizuka, Yu Ashihara, Youji Iiguni
    • Organizer
      EUSIPCO2011
    • Place of Presentation
      Palau de Congressos de Catalunya, Barcelona
    • Year and Date
      2011-09-01
    • Related Report
      2013 Final Research Report
  • [Presentation] An adaptation method for morphological image opening for texture denoising2011

    • Author(s)
      Yu Ashihara, Makoto Nakashizuka and Youji Iiguni
    • Organizer
      ITC-CSCC2011
    • Place of Presentation
      Hyundai Hotel, Gyeongju
    • Year and Date
      2011-06-20
    • Related Report
      2013 Final Research Report
  • [Presentation] Audio signal recovery form random sampling with sparsity prior on frequency spectrum2011

    • Author(s)
      Takayuki Sasaki, Makoto Nakashizuka, Youji Iiguni
    • Organizer
      ITC-CSCC2011
    • Place of Presentation
      Hyundai Hotel, Gyeongju
    • Year and Date
      2011-06-20
    • Related Report
      2013 Final Research Report
  • [Presentation] 識別モデルに基づくスパース信号分解とその周期信号分離への応用2011

    • Author(s)
      中静 真, 石井裕太, 飯國洋二
    • Organizer
      第26回信号処理シンポジウム
    • Place of Presentation
      札幌コンベンションセンター(北海道)
    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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