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Construction of Regularized Parametric Projection Filters

Research Project

Project/Area Number 13680381
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 計算機科学
Research InstitutionHOKKAIDO UNIVERSITY

Principal Investigator

MIYAKOSHI Masaaki  Hokkaido Univ., Grad. School of Eng., Prof., 大学院・工学研究科, 教授 (20125355)

Co-Investigator(Kenkyū-buntansha) IMAI Hideyuki  Hokkaido Univ., Grad. School of Eng., Ass.-Prof., 大学院・工学研究科, 助教授 (10213216)
TANAKA Akira  Hokkaido Univ., Grad. School of Eng., Inst., 大学院・工学研究科, 助手 (20332471)
KAWAGUCHI Mayuka  Hokkaido Univ., Grad. School of Eng., Ass.-Prof., 大学院・工学研究科, 助教授 (30214620)
Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2002: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2001: ¥2,200,000 (Direct Cost: ¥2,200,000)
KeywordsImage restoration / Regularizations / Projection filters / Choice of parameters / Parametric projection filter-families
Research Abstract

Functional Analysis-Theoretical developments of Image Restoration Problems carried on, and many filter-families such as Projection Filter- and Parametric Projection Filter-families were proposed. In practice, since the fidelity of restored images to original images depends on the stability of used restoration filters, it is very important to strengthen their robustness.
The study is to introduce a new filter-family that is robust against the perturbation of degraded processes for the parametric projection filter-family with less calculations and high fidelity. In the two-years term of project, we proposed the following three restoration filter-families and confirmed their effectiveness by numerical simulations :
Regularized Parametric Projection Filter-Family, M-N-Norm Parametric Projection Filter-Family, and Signal Adaptive Parametric Projection Filter-Family.
Moreover, we introduced a criterion to choose perturbation, parametric and regularized parameters. The criterion makes us possible to choose the optimal, parameter of Parametric Projection Filter-family in a sense, and it results in the higher fidelity of restored images.

Report

(3 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • Research Products

    (19 results)

All Other

All Publications (19 results)

  • [Publications] A.Tanaka: "Choosing the Parameter of Regularized MP-Inverses by Modified SIC in Image Restoration Problems"International of Computing Anticipatory Systems. Vol.12(in press). 166-170 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Tanaka: "Image Restoration by the Family of M-N-Norm Parametric Projection Filters"Electronics and Communications in Japan, Part 3. Vol.85 No.11. 9-17 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.Imai: "Parameter Estimation and Image Restoration Using the Families of Projection Filters and Parametric Projection Filters"IEICE. Trans, Fundamentals. Vol. E85A No.8. 1966-1969 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Tanaka: "On Duality of Constrained Least-Squares Restoration and Parametric Wiener Restoration"第17回DSPシンポジウム予稿集. A2-1. 1-5 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Tanaka: "Image Restoration by the Family of Signal Adaptive Parametric Projection Filters"Electronics and Communication in Japan, Part 3. Vol.86 No.3. 77-86 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Tanaka, H. Imai, M. Miyakoshi: "Choosing the Parameter of Regularized MP-Inverses by Modified SIC in Image Restoration Problems"International of Computing Anticipatory Systems. Vol. 12, (in press). 166-170 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Tanaka, H. Imai, M. Miyakoshi: "Image Restoration by the family of M-N-Norm Parametric Projection Filters"Electronics and Communications in Japan, Part 3. Vol.85, No.11. 9-17 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H. Imai, Y. Yuan, Y. Sato: "Parameter Estimation and Image Restoration Using the Families of Projection Filters and Parametric Projection Filters"IEICE Trans. Fundamentals. Vol. E85-A, No. 8. 1966-1969 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Tanaka, H. Imai, M. Miyakoshi: "On Duality of Constrained Least-Square Restoration and Parametric Wiener Restoration"IEICE The 17^<th> DSP Symposium. Preprints, A2-1. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Tanaka, H. Imai, M. Miyakoshi: "Image Restoration by the family of Signal Adaptive Parametric Projection Filters"Electronics and Communications in Japan, Part 3. Vol.86, No.3. 77-86 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Tanaka: "Choosing the Parameter of Regularized MP-Inverses by Modified SIC in Image Restoration Problems"International Journal of Computing Anticipatory Systems. Vol.12. 166-170 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] A.Tanaka: "Image Restoration by the Family of M-N-Norm Parametric Projection Filters"Electronics and Communications in Japan Part3. Vol.85 No.11. 9-17 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] A.Tanaka: "Image Restoration by the Family of Signal Adaptive Parametric Projection Filters"Electronics and Communications in Japan Part3. Vol.86 No.3. 77-86 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Imai: "Parameter Estimation and Image Restoration Using the Families of Projection Filters and Parametric Progetion Filters"IEICE Trans., Fundamentals. Vol.E85-A No.8. 1966-1969 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] A.Tanaka: "On Duality of Constrained Least-Square Restoration and Parametric Wiener Restoration"第17回DSPシンポジウム予稿集. A2-1. 1-5 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] A. Tanaka: "Choosing the parameter of regularized MP-Inverses by Modified SIC in image restoration problems"Abstract book of fifth international conference on computer Anticipatory systems (CASYS'01). (Symposium). 4-4 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 田中 章: "線形最適画像復元フィルタに関する一考察"電子情報通信学会 第16回ディジタル信号処理シンポジウム 講演論文集. 53-58 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] A. Tanaka: "Choosing the parameter of image restoration filters by Modified Subspace Information dritreion"IEICE Transactions on Fundamentals. E85-A No.6(印刷中).

    • Related Report
      2001 Annual Research Report
  • [Publications] 田中 章: "分離核作用素に対する分離核型正則化一般逆行列"電子情報通信学会 論文誌. J85-A No.6(印刷中). (2002)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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