Simple Computation of the Eigencomponents of a Subdivision Matrix in the Fourier Domain

  • Loïc Barthe
  • Cédric Gérot
  • Malcolm Sabin
  • Leif Kobbelt
Conference paper
Part of the Mathematics and Visualization book series (MATHVISUAL)


After demonstrating the necessity and the advantage of decomposing the subdivision matrix in the frequency domain when analysing a subdivision scheme, we present a general framework based on a method, introduced by Ball and Storry, which computes the Discrete Fourier Transform of a subdivision matrix. The efficacy of the technique is illustrated by performing the analysis of Kobbelt's \(\sqrt 3 \) scheme in a very simple manner.


Discrete Fourier Transform Rotational Frequency Tangent Plane Subdivision Scheme Fourier Domain 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Loïc Barthe
    • 1
  • Cédric Gérot
    • 2
  • Malcolm Sabin
    • 3
  • Leif Kobbelt
    • 4
  1. 1.Computer Graphics Group, IRIT/UPSToulouseFrance
  2. 2.Laboratoire des Images et des SignauxDomaine UniversitaireGrenobleFrance
  3. 3.Numerical Geometry Ltd.CambridgeUK
  4. 4.Computer Graphics GroupRWTH AachenGermany

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