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Design of Multi-dimensional variable Digital Filters and Their Application to Image and Video Processing

Research Project

Project/Area Number 15560314
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Communication/Network engineering
Research InstitutionTohoku University

Principal Investigator

KAWAMATA Masayuki  Tohoku University, Graduate School of Engineering, Professor, 大学院・工学研究科 (70153004)

Project Period (FY) 2003 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2004: ¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 2003: ¥1,700,000 (Direct Cost: ¥1,700,000)
KeywordsDigital Filter / Variable Filter / Multi-dimensional Signal Processing / Adaptive Signal Processing / 多次元ディジタル信号処理 / 映像修復 / 遺伝的アルゴリズム
Research Abstract

This project studies design of multi-dimensional digital filters which have high tuning accuracy of amplitude response and their application to image and video processing.
1.This project proposes 2-D variable IIR digital filter structures with a small amount of calculations for coefficient update. The proposed realization method uses the 2-D parallel allpass structure derived from the separable denominator 2-D filter as the prototype structure for 2-D variable digital filters. In order to reduce the amount of calculations, all the redundant first-order complex allpass sections are combined by modularization of the variable structure.
2.This project proposes frequency transformation for two-dimensional (2-D) digital filters in terms of the state-space equations. In order to derive the 2-D state-space formulation of the frequency transformation, we extend Mullis and Roberts' state-space formulation of one-dimensional frequency transformation to 2-D case. The proposed frequency transformation is very suitable for state-space analysis of the transformed filters since the resultant formulation consists of simple algebraic operations such as matrix addition, multiplication, inverse and so on.
3 This project evaluates the theoretical and practical performance of variable frequency properties of multi-dimensional variable digital filters obtained by the above method.
4.This project proposes an estimation method of frame displacement for old films using phase-only correlation. For the estimation of the subpixel displacement, the quadratic curve fitting method is proposed. This method is based on approximating the phase-only correlation of two images by a sinc function. Moreover, the method is applied to the frame displacement estimation for old films. It is shown that frame displacement of old films can be estimated accurately and then corrected. Visual inspection confirms that the proposed method can reduce the frame displacement significantly.

Report

(3 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • Research Products

    (19 results)

All 2004 2003 Other

All Journal Article (13 results) Publications (6 results)

  • [Journal Article] Realization of 2-D Variable IIR Digital Filter Structures with a Small Amount of Calculations for Coefficient Update2004

    • Author(s)
      Hyuk-Jae Jang
    • Journal Title

      Multidimensional Systems and Signal Processing 15

      Pages: 363-374

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] Realization of 2-D Variable IIR Digital Filter Structures with a Small Amount of Calculations for Coefficient Update2004

    • Author(s)
      Hyuk-Jae Jang
    • Journal Title

      Multidimensional Systems and Signal Proceeding 15

      Pages: 363-374

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Estimation Method of Frame Displacement for Old Films Using Phase-Only Correlation2004

    • Author(s)
      Mizuki Hagiwara
    • Journal Title

      Journal of Signal Processing 8

      Pages: 421-429

    • Related Report
      2004 Annual Research Report
  • [Journal Article] State-Space Formulation of Frequency Transformation for 2-D Digital Filters2004

    • Author(s)
      Shunsuke Koshita
    • Journal Title

      IEEE Signal Processing Letters 11

      Pages: 784-787

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 移動物体検出と時間領域メジアンフィルタを用いた古いフィルム映像のブロッチ除去2004

    • Author(s)
      阿部 正英
    • Journal Title

      電子情報通信学会論文誌 J88-A

      Pages: 11-22

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Feedforward Active Noise Control Systems with Improved Online Secondary-Path Modeling2003

    • Author(s)
      Muhammad Tahir Akhtar
    • Journal Title

      Proceedings of IEEE International Symposium on Intelligent Signal Processing and Communication Systems 1

      Pages: 696-701

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A New Structure for Feedforward Active Noise Control Systems with Online Secondary-Path Modeling2003

    • Author(s)
      Muhammad Tahir Akhtar
    • Journal Title

      Proceedings of International Workshop on Acoustic Echo and Noise Control 1

      Pages: 155-158

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Feedforward Active Noise Control Systems with Online Secondary Path Modeling2003

    • Author(s)
      Muhammad Tahir Akhtar
    • Journal Title

      Proceedings of International Congress and Exposition on Noise Control Engineering 1

      Pages: 1004-1001

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] On Use of Averaging in FxLMS Algorithm for Single-Channel Feedforwaed ANC Systems2003

    • Author(s)
      Akhtar M. Tahir
    • Journal Title

      Proceedings of IEEE International Symposium on Circuits and Systems 4

      Pages: 389-392

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] On the Invariance of Second-Order Modes of Continuous-Time Systems under General Frequency Transformation2003

    • Author(s)
      Masayuki Kawamata
    • Journal Title

      Proceedings of IEEE International Symposium on Circuits and Systems 1

      Pages: 505-508

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Feedforward Active Noise Control Systems with Online Secondary Path Modeling2003

    • Author(s)
      Muhammad tahir Akhtar
    • Journal Title

      Proceedings of International Congress and Exposition on Noise Control Engineering 1

      Pages: 1004-1001

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] On Use of Averaging in FxLMS Algorithm for Single-Channel Feedforward ANC Systems2003

    • Author(s)
      Akhtar M.Tahir
    • Journal Title

      Symposium on Circuits and Systems 4

      Pages: 389-392

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] On the Invariance of Second-Order Modes of Continuous-Time Systems under General Frequency Transformation2003

    • Author(s)
      Masayuki Kawamata
    • Journal Title

      Symposium on Circuits and Systems 1

      Pages: 505-508

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Publications] Kazuyoshi Uesaka: "Evolutionary Synthesis of Digital Filter Structures Using Genetic Programming"IEEE Transactions on Circuits and System-II : Analog and Digital Signal Processing. 50,12. 977-983 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Muhammad Tahir Akhtar: "Feedforward Active Noise Control Systems with Improved Online Secondary-Path Modeling"Proceedings of IEEE International Symposium on Intelligent Signal Processing and Communication Systems. 696-701 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Muhammad Tahir Akhtar: "A New Structure for Feedforward Active Noise Control System with Online Secondary-Path Modeling"Proceedings of International Workshop on Acoustic Echo and Noise Control. 155-158 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Muhammad Tahir Akhtar: "Proceedings of International Congress and Exposition on Noise Control Engineering"Proceedings of International Congress and Exposition on Noise Control Engineering. 1004-1001 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Akhtar M.Tahir: "On Use of Averaging in FxLMS Algorithm for Single-Channel Feedforward ANC System"Proceedings of IEEE International Symposium on Circuits and Systems. 4. 389-392 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Masayuki Kawamata: "On the Invariance of Second-Order Modes of Continuous-Time Systems under General Frequency Transformation"Proceedings of IEEE International Symposium on Circuits and Systems. 1. 505-508 (2003)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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