Continuity Order of Local Displacement in Volumetric Image Sequence

  • Koji Kashu
  • Yusuke Kameda
  • Masaki Narita
  • Atsushi Imiya
  • Tomoya Sakai
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6204)


We introduce a method for volumetric cardiac motion analysis using variational optical flow computation involving the prior with the fractional order differentiations. The order of the differentiation of the prior controls the continuity class of the solution. Fractional differentiations is a typical tool for edge detection of images. As a sequel of image analysis by fractional differentiation, we apply the theory of fractional differentiation to a temporal image sequence analysis. Using the fractional order differentiations, we can estimate the orders of local continuities of optical flow vectors. Therefore, we can obtain the optical flow vector with the optimal continuity at each point.


Fractional Order Fractional Derivative Motion Boundary Local Displacement Fractional Order Derivative 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Koji Kashu
    • 1
  • Yusuke Kameda
    • 2
  • Masaki Narita
    • 1
  • Atsushi Imiya
    • 3
  • Tomoya Sakai
    • 3
  1. 1.School of Advanced Integration ScienceChiba University 
  2. 2.JSPS/School of Advanced Integration ScienceChiba University 
  3. 3.Institute of Media and Information TechnologyChiba UniversityChibaJapan

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