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2004 Fiscal Year Final Research Report Summary

High-Accuracy Image Interpolation Using Multi-dimensional Variable Fractional-Delay Digital Filters

Research Project

Project/Area Number 14550379
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 情報通信工学
Research InstitutionToho University

Principal Investigator

ITO Noboru  Toho University, Faculty of Science, Associate Professor, 理学部, 助教授 (00237041)

Project Period (FY) 2002 – 2004
Keywordsdigital filter / Variable digital filter / fractional-delay filter / image interpolation / resolution conversion / Lagrange interpolation / one-dimensional VFD filter / two-dimensional VFD filter
Research Abstract

During this 3-year research, we focused on developing optimal one-dimensional (1-D) and two-dimensional (2-D) variable fractional-delay(VFD) digital filters for high-resolution image interpolation. Since 2-D VFD filters can be constructed by cascading a pair of 1-D VFD filters with different delay elements, so developing new algorithms for designing and implementing 1-D VFD filters is particularly important, which is the basic step for obtaining good 2-D VFD filters. Therefore, we first developed several new methods for designing and implementing 1-D VFD filters, then generalized the 1-D VFD filters to the 2-D case for high-accuracy image interpolation. The new techniques developed during this research are as follows :
(1)weighted-least-squares method for designing VFD filters with also tunable magnitude ;
(2)SVD-based design and new structures for VFD filters ;
(3)VFD filter design using vector-array decomposition ;
(4)VFD filter design using coefficient-symmetry ;
(5)theoretical proof of Lagrange-type VFD filters ;
(6)2-D Lagrange-type VFD filters for high-resolution image interpolation.
We have used many image examples to show that the image interpolation using 2-D VFD filter is superior to other existing image interpolation techniques in terms of high-accuracy and reduced computational complexity.

  • Research Products

    (12 results)

All 2005 2004 2003 Other

All Journal Article (12 results)

  • [Journal Article] Design of arbitrary-phase variable digital filters using SVD-based vector-array decomposition2005

    • Author(s)
      Tian-Bo Deng
    • Journal Title

      IEEE Trans. Circuits Syst. I : Regular Papers 52

      Pages: 148-167

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Design of complex-coefficient variable digital filters using successive vector-array decomposition2005

    • Author(s)
      Tian-Bo Deng
    • Journal Title

      IEEE Trans. Circuits Syst. I : Regular Papers (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Design of arbitrary-phase variable digital filters using SVD-based vector-array decomposition2005

    • Author(s)
      T.-B.Deng
    • Journal Title

      IEEE Trans.Circuits Syst.I : Regular Papers vol.52

      Pages: 148-167

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Closed-form design and efficient implementation of variable digital filters with simultaneously tunable magnitude and fractional-delay2004

    • Author(s)
      Tian-Bo Deng
    • Journal Title

      IEEE Trans. Signal Processing 52

      Pages: 1668-1681

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] SVD-based design and new structures for variable fractional-delay digital filters2004

    • Author(s)
      Tian-Bo Deng, Yuko Nakagawa
    • Journal Title

      IEEE Trans. Signal Processing 52

      Pages: 2513-2527

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Design of variable fractional-delay digital filters using weighted-least-squares singular-value-decomposition2004

    • Author(s)
      Tian-Bo Deng
    • Journal Title

      Proc. EUSIPCO 2004 1

      Pages: 137-140

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Closed-form design and efficient implementation of variable digital filters with simultaneously tunable magnitude and fractional-delay2004

    • Author(s)
      T.-B.Deng
    • Journal Title

      IEEE Trans.Signal Processing vol.52

      Pages: 1668-1681

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] SVD-based design and new structures for variable fractional-delay digital filters2004

    • Author(s)
      T.-B.Deng, Y.Nakagawa
    • Journal Title

      IEEE Trans.Signal Processing vol.52

      Pages: 2513-2527

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Design of variable fractional-delay digital filters using weighted-least-squares singular-value-decomposition2004

    • Author(s)
      T.-B.Deng
    • Journal Title

      Proc.2004 European Signal Processing Conference (EUSIPCO 2004), Vienna, Austria, Sept.6-10

      Pages: 137-140

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] SVD-based important theorem for designing variable fractional-delay filters2003

    • Author(s)
      Tian-Bo Deng
    • Journal Title

      Proc. IEEE ICICS-PCM 2003 1

      Pages: 3C4・6-3C4・6

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] SVD-based important theorem for designing variable fractional-delay filters2003

    • Author(s)
      T.-B.Deng
    • Journal Title

      Proc.Fourth International Conference on Information, Communications & Signal Processing and Fourth IEEE Pacific-Rim Conference On Multimedia (ICICS-PCM 2003), Singapore, Dec.15-18 3C4.6

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Design of complex-coefficient variable digital filters using successive vector-array decomposition

    • Author(s)
      T.-B.Deng
    • Journal Title

      IEEE Trans.Circuits Syst.I : Regular Papers (印刷中)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2006-07-11  

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