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Discrimination theory of wavelet filters with learning ability

Research Project

Project/Area Number 11558039
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section展開研究
Research Field Intelligent informatics
Research InstitutionKyushu University

Principal Investigator

NIIJIMA Koichi  Graduate School of Information Science and Electrical Engineering, Professor, 大学院・システム情報科学研究院, 教授 (30047881)

Co-Investigator(Kenkyū-buntansha) TAKANO Shigeru  Graduate School of Information Science and Electrical Engineering, Assistant Professor, 大学院・システム情報科学研究院, 助手 (70336064)
KUZUME Koichi  Yuge National College of Technology, Professor, 教授 (80225151)
OKADA Yoshihiro  Graduate School of Information Science and Electrical Engineering, Associate Professor, 大学院・システム情報科学研究院, 助教授 (70250488)
皆本 晃弥  九州大学, 大学院システム情報科学研究科, 助手 (00294900)
高橋 規一  九州大学, 大学院システム情報科学研究科, 助教授 (60284551)
Project Period (FY) 1999 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥12,900,000 (Direct Cost: ¥12,900,000)
Fiscal Year 2002: ¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 2001: ¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 2000: ¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 1999: ¥5,600,000 (Direct Cost: ¥5,600,000)
Keywordslifting wavelet filter / free parameter / learning method / learning ability / extraction / noise reduction / multiresolution analysis / 3D surface generation / 学習方式 / 特定信号 / ダイアディックウェーブレット / フィルタ / 抽出 / メッシュ単純化アルゴリズム / メッシュ細分化アルゴリズム / 学習理論 / 地磁気水平成分 / 磁気嵐急始部 / 顔画像 / 異常信号検出装置 / 鮮鋭化 / リフティグウェーブレット変換 / 抽出理論 / 磁気嵐開始部 / ピーク性雑音 / 合成積型ウェーブレット / 信号圧縮 / 自由パラメータの学習 / 部分画像の検出 / 画像の特徴抽出 / 磁気嵐の自動検出
Research Abstract

Wavelet filters with learning ability indicate lifting wavelet filters proposed by Sweldens who is a researcher at Lucent Technology in USA. The lifting wavelet filters are consist of biorthogonal analysis and synthesis filters. A signal is decomposed into lowpass and highpass components using the analysis filter, and the original signal can be reconstructed from the lowpass and highpass components using the synthesis filter. This means that the original signal is equivalent to the decomposed lowpass and highpass components. The lifting wavelet filters are constructed by adding lifting filters to biorthogonal wavelet filters. The lifting filter contains free parameters which can be determined adaptive to signals and images.
In our research, we proposed several learning methods of the free parameters adaptive to specific parts of signals and images, and established a discrimination theory for extracting pieces similar to the specific parts. We also presented an impulse noise reduction method based on our learning method. Furthermore, we proposed a fast simplification algorithm for generating 3D surfaces by using an idea of multiresolution analysis of wavelets.

Report

(5 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (35 results)

All Other

All Publications (35 results)

  • [Publications] K.Niijima, K.Kuzume: "Wavelets with convolution-type orthogonality conditions"IEEE Transactions on Signal Processing. 47. 408-421 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Takano, K.Niijima: "Robust lifting wavelet transform for subimage extraction"Proceedings of SPIE Wavelet Applications in Signal and Image Processing VIII. 4119. 902-910 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Takano, K.Niijima: "Extraction of subimage by lifting wavelet filters"IEICE Transaction, Fundamentals. E83-A. 1559-1565 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Takano, K.Niijima: "Subimage extraction by integer-type lifting wavelet transforms"Proceedings of IEEE International Conference on Image Processing. 403-406 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kuzume, S.Takano, K.Niijima: "Integer-type Haar lifting wavelet processor for signal detection"Proceedings of the IASTED International Conference on Intelligent Systems and Control. 480-485 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kuzume, K.Niijima, S.Takano: "Signal detection based on lifting wavelet and its application to ECG signal processing"Proceedings of the 22nd IASTED International Conference on Modeling, Identification, and Control (MIC2003). 299-303 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 新島 耕一: "ウェーブレット画像解析"科学技術出版. 312 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Niijima and K.Kuzume: "Wavelets with convolution-type orthogonality conditions"IEEE Transactions on Signal Processing, 47-2. 47-2. 408-421 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Takano and K.Niijima: "Robust lifting wavelet transform for subimage extraction"Proceedings of SPIE : Wavelet Applications in Signal and Image Processing VIII, 4119. 902-910 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Takano and K.Niijima: "Extraction of subimage by lifting wavelet filters"IEICE Transaction, Fundamentals, E83-E. E83-E. 1559-1565 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Takano and K.Niijima: "Subimage extraction by integer-type lifting wavelet transforms"Proceedings of IEEE International Conference on Image Processing. 403-406 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kuzume, S.Takano, K.Niijima: "Integer-type Haar lifting wavelet processor for signal detection"Proceedings of the IASTED International Conference on Intelligent Systems and Control. 480-485 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kuzume, K.Niijima, S.Takano: "Signal detection based on lifting wavelet and its application to ECG signal processing"Proceedings of the 22nd IASTED International Conference on Modeling, Identification, and Control (MIC2003). 299-303 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Niijima: "Image processing by Wavelets"1-312 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Niijima, T.Abdukirim, S.Takano: "Enhancement and edge detection of images by spline dyadic wavelets"Proc. of the International Workshop on Information and Electrical Engineering(IWIE2002). 33-38 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] S.Takano, K.Niijima: "Content-based image retrieval by lifting wavelet"Proc. of the International Workshop on Information and Electrical Engineering(IWIE2002). 17-22 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Hussain, Y.Okada, K.Niijima: "Feature preserving simplification of polygonal models"Proc. of the 2002 International Conference on Imaging Science, Systems, and Technology(CISST'02). 791-797 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Hussain, Y.Okada, K.Niijima: "Displaced √<3> subdivision surfaces"Proc. of the First Ibero-American Symposium in Computer Graphics(SIACG'02). 17-20 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] S.Takano, K.Niijima: "Image retrieval using lifting wavelet filters"Proc. of the Sixth WSEAS International Conference on Computers. 407-412 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Kuzume, K.Niijima, S.Takano: "Signal detection based on lifting wavelet and its application to ECG signal processing"Proc. of the 22nd IASTED International Conference on Modeling, Identification, and Control(MIC2003). 299-303 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] S.Takano: "Signal and image extraction by lifting wavelets"Doctoral Thesis, Kyushu University. 1-97 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Kuzume, S.Takano, K.Niijima: "Integer-type Haar lifting wavelet processor for signal detection"Proceedings of the IASTED International Conference on Intelligent Systems and Control, ACTA Press. 480-485 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Abdukirim, S.Takano, K.Niijima: "Construction of spline dyadic wavelet filters"Research Reports on Information Science and Electrical Engineering of Kyushu University. 7・1(in press). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Niijima, S.Takano: "Finding of signal and image by integer-type Haar lifting wavelet transform"Progresses in Discovery Science, Springer. (in press). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Shigeru Takano,Koichi Kuzume and Koichi Niijima: "Impulse noise reduction from corrupted images using lifting wavelet filters"Proc.SPIE Visual Communications and Image Processing. 4067. 1262-1270 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Shigeru Takano and Koichi Niijima: "Robust lifting wavelet transform for subimage extraction"Proc.SPIE Wavelet Application in Signal and Image Processing VIII. 4119. 902-910 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Shigeru Takano and Koichi Niijima: "Extraction of subimage by lifting wavelet filters"IEICE Trans.on Fundamentals of Electronics, Communications and Computer Sciences. E83-A・8. 1559-1565 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Koichi Kuzume,Shigeru Takano and Koichi Niijima: "Impulse noise reduction based on lifting wavelet transform"Proc.10th European Signal Processing Conference. (CD-ROM). (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Shigeru Takano and Koichi Niijima: "Subimage extraction by integer-type lifting wavelet transforms"Proc.IEEE Int.Conf.on Image Processing. 403-406 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Koichi Niijima and Koichi Kuzume: "Wavelets with convolution -type orthogonality conditions"IEEE Trans. on Signal Processing. 47. 408-421 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Koichi Kuzume and Koichi Niijima: "Design of time-varying lifting wavelet filters"IEICE Trans. on Fundamentals of Electronics,Communications and Computer Sciences. E82-A・8. 1412-1419 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Shigeru Takano and Koichi Niijima: "Sub-image extraction by learnt lifting wavelet filters"Proc. 5th Int. Sympo. in Signal Processing and Its Applications. 309-312 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Shigeru Takano and Teruya Minamoto and Hiroki Arimura and Koichi Niijima and Toshihiko Iyemori and Tohru Araki: "Automatic detection of geomagnetic sudden commencement using lifting wavelet filters"Proc. 2nd Int. Conf. on Discovery Science,Lecture Notes in Artificial Intelligence. 1721. 242-251 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Koichi Kuzume and Koichi Niijima: "Noise reduction using time-varying lifting wavelet filters"Proc. IEEE Int. Sypmo. Intelligent Signal Processing and Communication Systems. 733-736 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 新島耕一: "ウェーブレット画像解析"科学技術出版. 313 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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