• DocumentCode
    1208828
  • Title

    A note on cubic convolution interpolation

  • Author

    Meijering, Erik ; Unser, Michael

  • Author_Institution
    Biomed. Imaging Group, Swiss Fed. Inst. of Technol., Lausanne, Switzerland
  • Volume
    12
  • Issue
    4
  • fYear
    2003
  • fDate
    4/1/2003 12:00:00 AM
  • Firstpage
    477
  • Lastpage
    479
  • Abstract
    We establish a link between classical osculatory interpolation and modern convolution-based interpolation and use it to show that two well-known cubic convolution schemes are formally equivalent to two osculatory interpolation schemes proposed in the actuarial literature about a century ago. We also discuss computational differences and give examples of other cubic interpolation schemes not previously studied in signal and image processing.
  • Keywords
    convolution; image processing; interpolation; polynomials; computational differences; cubic convolution interpolation; image processing; osculatory interpolation; polynomial interpolation methods; signal processing; Biomedical computing; Biomedical imaging; Convolution; Image processing; Interpolation; Kernel; Lagrangian functions; Mathematics; Polynomials; Signal processing;
  • fLanguage
    English
  • Journal_Title
    Image Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7149
  • Type

    jour

  • DOI
    10.1109/TIP.2003.811493
  • Filename
    1201129