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Direct Methods of 3 Dimensional Image Reconstruction from Cone-Beam Projections.

Research Project

Project/Area Number 61550257
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 計算機工学
Research InstitutionTOKYO INSTITUTE OF TECHNOLOGY

Principal Investigator

OGAWA Hidemitsu  Tokyo Institute of Technology, Department of Computer Science,, 工学部, 教授 (50016630)

Co-Investigator(Kenkyū-buntansha) IMIYA Atsushi  Kanazawa University, Department of Electrical and Computer Engineering, 工学部, 講師 (10176505)
KUMAZAWA Itsuo  Tokyo Institute of Technology, Department of Computer Science, 工学部, 助手 (70186469)
Project Period (FY) 1986 – 1987
Project Status Completed (Fiscal Year 1987)
Budget Amount *help
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1987: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1986: ¥1,600,000 (Direct Cost: ¥1,600,000)
KeywordsComputerized Tomography / Image reconstruction / Image restoration / Analog coding / Series expansion method / Cone beam projection / Three dimensional image reconstruction / 不完全投影 / 画像複元
Research Abstract

Computerized Tomography has had a profound impact on medical diagnosis techniques. In the future, increasing computational power will make it possible to reconstruct 3 dimensional images directly from efficiently collected projections. In this research project we developped a theoretical basis for this ultimate goal from the following viewpoints.
(1) What is the most efficient scanning (sampling) schema to collect projections? And what way of arrangement of the sampling points gives us enough imformation to estimate the image uniquely? How can we reconstruct the image from these sampled data?
(2) Even in such an efficient sampling schema, there will be some redundancy among the data. How can we use the redundancy to make the reconstruction method robust and stable against the noise.
In this project we have snswered above questions as follows.
(1) As the efficient acsnning schema, we used the cone beam scanning schema and derived the conditions for the samplings in this schema to be enough to determine the image uniquely. In addition we developped the reconstruction formula for samplings using a series expansion method in which the optimal arrangement of the sample points was analytically discussed.
(2) We developped projection filter which uesd the redundancy in data to cancel the noise without degrading the resolution of the image. Finally, as another way of making use of the redunfancy, we decelopped an impulsive noise canceling technique based on the idea of analog coding.

Report

(2 results)
  • 1987 Final Research Report Summary
  • 1986 Annual Research Report
  • Research Products

    (34 results)

All Other

All Publications (34 results)

  • [Publications] Hidemitsu Ogawa: J.Mathematical Analysis and Applications. 114. 37-51 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Hidemitsu Ogawa: 電子通信学会論文誌. E69. 1020-1029 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Atsushi Imiya: Int.Workshop on Physics and Engineering in Computerized Multidimensional Imaging and Processing. 42-49 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Atsushi Imiya: Proc.ICASSP′86;1986 IEEE-IECEJ-ASJ Int.Cont,on Acoustics,Speech,and Signal Processing. 1. 285-288 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Hidemitsu Ogawa: Proc,ICASSP′86 IEEE-IECEJ-ASJ Int.Conf.on Acoustics,Speech,and Signal Processing. 3. 1657-1660 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Hidemitsu Ogawa: Proc.of the 8th Int.Conf.on Pattern Recognition. 70-72 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Erkki Oja: IEEE Tran,on Acoustics,Speech,and Signal Processing. ASSP-34. 1643-1653 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Makoto Sato: Proc.of the IEEE International Workshop on Industrial Applications of Machine Vision and Machine Intelligence. 8-12 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Hidemitsu Ogawa: Proc.SPLE,Inverse Problems in Optics. 189-196 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Makoto Sato: Proc.of the 4th International Conference on Image Analysis and Processing. (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] 小川英光: 電子情報通信学会論文誌(A). J71-A. 519-526 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] 小川英光: 電子情報通信学会論文誌(A). J71-A. 527-534 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] 小川英光: 電子情報通信学会論文誌(A). J71-A. 163-170 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Atsushi Imiya: Proc.SPIE,Int.Workshop on Advances in Image Processing. 804. 45-52 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Hidemitsu Ogawa: ""Projection filter, Wiener filter, and Karhunen-Loeve subspaces in digital image restoration"" J. Mathematical Analysis and Applications. 114. 37-51 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Hidemitsu Ogawa: ""Can we solve the continuous Karhunen-Loeve eigenproblem from discrete data?"" Tran.IEICE,Part E. E69. 1020-1029 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Atsushi Imiya: ""Direct reconstruction of thre dimensional image from its line integrals"" Proc. SPIE Int.Workshop on Physics and Engineering in Computerized Multidimensional Imaging and Processing,. 42-49 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Atsushi Imiya: ""Generalized Lanczos method for signal smoothing"" Proc. ICASSP'86;1986 IEEE-IECEJ-ASJ Int. Conf. on Acoustics, Speech, and Signal Processing. 1. 285-288 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Hidemitsu Ogawa: ""A unified approach to generalized sampling theorems"" Proc. ICASSP'86,IEEE-IECEJ-ASJ Int. Conf. on Acoustics, Speech, and Signal Processing. 3. 1657-1660 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Hidemitsu Ogawa: ""Can we slove the continuous Karhunen- Loeve eigen problem from discrete data?"" Proc. of the 8th Int. Cont. on Pattern Recognition. 70-72 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Erkki Oja: ""Parametric Projection Filter for Image and Signal Restoration"" IEEE Tran. on Acoustics, Speech, and Signal Processing. ASSP-34. 1643-1653 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Makoto Sato: ""On an optimality of the generalized Hough transform"" Proc. of the IEEE International Workshop on Indus- trial Applications Machine Vision and Machine Intelligence. 8-12 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Hidemitsu Ogawa: ""Projection filter regularization of ill-conditioned problem"" Proc. SPIE, Inverse Problems in Optics. 808. 189-196 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Makoto Sato: ""optimization of the generalized Hough transform"" Proc. of the 4th International Conference on Image Analysis Processing. (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Hara Shoji: ""Image Restoration by Partial Projection Filter"" Trans.IEICE,Part A,. J71-A. 519-526 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Hara Shoji: ""Properties of Partial Projection Filter"" Trans.IEICE,Part A. J71-A. 527-534 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Hidemitsu Ogawa: ""A Generalized Sampling Theorem"" Trans.IEICE. J71-A. 163-170 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Atsushi Imiya: ""Image polynomial and its application to image restoration"" Proc. SPIE Workshop on Advances in Image Processing. 804. 45-52 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] H.Ogawa;E.Oja: 電子通信学会論文誌(E). E69. 1020-1029 (1986)

    • Related Report
      1986 Annual Research Report
  • [Publications] E.Oja;H.Ogawa: IEEE Trans.on Acoustic,Speech,and Signal Processing. ASSP-34. 1643-1653 (1986)

    • Related Report
      1986 Annual Research Report
  • [Publications] A.Imiya;H.Ogawa: Int.Workshop on Physics and Engineering in Computerized Multidimensional Imaging and Processing. 42-49 (1986)

    • Related Report
      1986 Annual Research Report
  • [Publications] A.Imiya;T.Sasaki;H.Ogawa: Proc.ICASSP'86;1986 IEEE-IECEJ-ASJ Int.Conf.on Acoustics,Speech,and Signal Processing. 1. 285-288 (1986)

    • Related Report
      1986 Annual Research Report
  • [Publications] M.Sato;H.Ogawa: Proc.of IEEE Int.Workshop on Industrial Applications of Machine Vision and Machine Intelligence. 8-12 (1987)

    • Related Report
      1986 Annual Research Report
  • [Publications] 井宮淳,小川英光: 第一回産業における画像センシング技術シンポジウム. 79-84 (1986)

    • Related Report
      1986 Annual Research Report

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Published: 1987-03-31   Modified: 2016-04-21  

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