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Sampling theory for sparse signals and its applications to image super-resolution

Research Project

Project/Area Number 20700164
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Perception information processing/Intelligent robotics
Research InstitutionYamaguchi University

Principal Investigator

HIRABAYASHI Akira  Yamaguchi University, 大学院・医学系研究科, 准教授 (50272688)

Co-Investigator(Renkei-kenkyūsha) PIER-LUIGI Dragotti  ロンドンインペリアル大学
Project Period (FY) 2008 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2009: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2008: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Keywordsスパース性 / 標本化 / マルチチャンネル標本化 / MAP推定 / l1ノルム最小化 / 単位長自由度有限信号 / 画像特徴量抽出 / サンプリング / 信号再構成 / 超解像 / 特徴量 / Spline / ハフ変換 / 標本化(サンプリング) / インターレース標本化 / 事後確率最大(MAP)推定 / 11ノルム最小化原理 / 非線形性
Research Abstract

We studied multi-channel sampling for sparse signals and image feature extraction using the sampling scheme. The former was mainly tackled in the first year, and we proposed two algorithms ; one is the so-called MAP estimation algorithm with a prior distribution of signals, and the other is the l1-norm minimization algorithm. In the second year, we devised an exact line-edge extraction algorithm that can be applied for super-resolution. We showed by computer simulations that the proposed method is approximately 10 dB better against noise than the conventional methods.

Report

(3 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • Research Products

    (24 results)

All 2010 2009 2008

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (19 results) Patent(Industrial Property Rights) (1 results)

  • [Journal Article] Fast surface profiling by white-light interferometry using symmetric spectral optical filter2010

    • Author(s)
      Akira Hirabayashi
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences vol.E93-A,no.2

      Pages: 542-548

    • NAID

      10026863373

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Fast surface profiling by white-light interferometry using symmetric spectral optical filter2010

    • Author(s)
      Akira Hirabayashi
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications, and Computer Sciences 93-A(2)

      Pages: 542-549

    • NAID

      10026863373

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Consistent sampling and efficient signal recovery2009

    • Author(s)
      Akira Hirabayashi
    • Journal Title

      IEEE Signal Processing Letters vol.16,no.12

      Pages: 1023-1026

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Consistent sampling and efficient signal reconstruction2009

    • Author(s)
      Akira Hirabayashi
    • Journal Title

      IEEE Signal Processing Letters 16(12)

      Pages: 1023-1026

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] E-Spline標本化による画像直線エッジの正確な抽出2010

    • Author(s)
      川口悠仁, 平林晃, Pier-Luigi Dragotti
    • Organizer
      電子情報通信学会2010年総合大会講演論文集
    • Place of Presentation
      仙台
    • Year and Date
      2010-03-17
    • Related Report
      2009 Final Research Report
  • [Presentation] E-Spline標本化による画像直線エッジの正確な抽出2010

    • Author(s)
      川口悠仁
    • Organizer
      電子情報通信学会2010年総合大会
    • Place of Presentation
      仙台市
    • Year and Date
      2010-03-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] 単位長自由度有限信号に対する標本化理論と画像特徴量抽出への応用2010

    • Author(s)
      平林晃, Pier-Luigi Dragotti
    • Organizer
      電子情報通信学会技術研究報告, 信号処理研究会
    • Place of Presentation
      宮古島
    • Year and Date
      2010-03-02
    • Related Report
      2009 Final Research Report
  • [Presentation] 単位長自由度有限信号に対する標本化理論と画像特徴量抽出への応用2010

    • Author(s)
      平林晃
    • Organizer
      電子情報通信学会信号処理研究会
    • Place of Presentation
      宮古島市
    • Year and Date
      2010-03-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] Efficient signal reconstruction from shift-invariant consistent sampling2009

    • Author(s)
      Akira Hirabayashi
    • Organizer
      INSPIRE 2009
    • Place of Presentation
      London (United Kingdom)
    • Year and Date
      2009-09-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] Joint estimation of offset parameters and high-resolution images via l1-norm minimization principle2009

    • Author(s)
      A. Hirabayashi
    • Organizer
      in Proceedings of the Third ACM/IEEE International Conference on Distributed Smart Cameras (ICDSC 2009)
    • Place of Presentation
      Como, Italy
    • Year and Date
      2009-09-02
    • Related Report
      2009 Final Research Report
  • [Presentation] Joint estimation of offset parameters and high-resolution images via l1-norm minimization principle2009

    • Author(s)
      Akira Hirabayashi
    • Organizer
      The Third ACM/IEEE International Conference on Distributed Smart Cameras (ICDSC 2009)
    • Place of Presentation
      Como (Italy)
    • Year and Date
      2009-09-01
    • Related Report
      2009 Annual Research Report
  • [Presentation] Compressed sensing -基本原理と最新研究動向-2009

    • Author(s)
      平林晃
    • Organizer
      電子情報通信学会技術研究報告, 信号処理研究会
    • Place of Presentation
      釧路
    • Year and Date
      2009-07-01
    • Related Report
      2009 Final Research Report
  • [Presentation] [チュートリアル講演] Compressed sensing -基本原理と最新研究動向-2009

    • Author(s)
      平林晃
    • Organizer
      電子情報通信学会信号処理研究会
    • Place of Presentation
      釧路市
    • Year and Date
      2009-07-01
    • Related Report
      2009 Annual Research Report
  • [Presentation] A study on sparse signal reconstruction from interlaced samples by l1-norm minimization2009

    • Author(s)
      A. Hirabayashi
    • Organizer
      in Proceedings of the 2009 International Conference on Sampling Theory and Applications (SampTA2009)
    • Place of Presentation
      Marseille, France
    • Year and Date
      2009-05-21
    • Related Report
      2009 Final Research Report
  • [Presentation] Optimal characteristics of optical filter for white-light interferometry based on sampling theory2009

    • Author(s)
      H. Ogawa, A. Hirabayashi
    • Organizer
      in Proceedings of the 2009 International Conference on Sampling Theory and Applications (SampTA2009)
    • Place of Presentation
      Marseille, France
    • Year and Date
      2009-05-19
    • Related Report
      2009 Final Research Report
  • [Presentation] インターレース標本値からのスパース信号の完全再構成2009

    • Author(s)
      平林晃
    • Organizer
      電子情報通信学会2009年総合大会講演論文集
    • Place of Presentation
      松山
    • Year and Date
      2009-03-18
    • Related Report
      2009 Final Research Report
  • [Presentation] インターレース標本値からのスパース信号の完全再構成2009

    • Author(s)
      平林晃
    • Organizer
      電子情報通信学会2009年総合大会
    • Place of Presentation
      松山市
    • Year and Date
      2009-03-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] L1ノルム最小化によるインターレース標本値からのスパース信号再構成2009

    • Author(s)
      平林晃, 粟谷公祐
    • Organizer
      電子情報通信学会技術研究報告, 信号処理研究会
    • Place of Presentation
      岐阜
    • Year and Date
      2009-03-03
    • Related Report
      2009 Final Research Report
  • [Presentation] L1ノルム最小化によるインターレース標本値からのスパース信号再構成2009

    • Author(s)
      平林晃
    • Organizer
      電子情報通信学会技術研究報告信号処理研究会
    • Place of Presentation
      岐阜市
    • Year and Date
      2009-03-03
    • Related Report
      2008 Annual Research Report
  • [Presentation] スパース信号のインターレースサンプリングからの完全再構成に関する一考察2008

    • Author(s)
      平林晃
    • Organizer
      電子情報通信学会信号処理シンポジウム
    • Place of Presentation
      金沢
    • Year and Date
      2008-11-13
    • Related Report
      2009 Final Research Report
  • [Presentation] スパース信号のインターレースサンプリングからの完全再構成に関する-考察2008

    • Author(s)
      平林晃
    • Organizer
      電子情報通信学会信号処理シンポジウム
    • Place of Presentation
      金沢市
    • Year and Date
      2008-11-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] A study on an interlaced sampling with unknown offsets2008

    • Author(s)
      A. Hirabayashi, L. Condat
    • Organizer
      in Proceedings of the 16th European Signal Processing Conference 2008 (EUSIPCO2008)
    • Place of Presentation
      Lausanne, Switzerland
    • Year and Date
      2008-08-28
    • Related Report
      2009 Final Research Report
  • [Presentation] A study on an interlaced sampling with unknown offsets2008

    • Author(s)
      Akira HIRABAYASHI
    • Organizer
      16th European Signal Processing Conference 2008
    • Place of Presentation
      ローザンヌ市(スイス)
    • Year and Date
      2008-08-28
    • Related Report
      2008 Annual Research Report
  • [Patent(Industrial Property Rights)] 表面形状測定方法及びその装置2009

    • Inventor(s)
      小川英光, 平林晃, 北川克一
    • Industrial Property Rights Holder
      東レエンジニアリング株式会社, 国立大学法人東京工業大学
    • Filing Date
      2009-01-16
    • Acquisition Date
      2009-01-16
    • Related Report
      2009 Final Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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