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Exemple of Subdivision Surface: Doo-Sabin

Given a face \(\displaystyle (p_i)_i=[0,N-1]\)

  • - Compute middle vertex \(\displaystyle m_i=(p_i+p_{i+1})/2\)

  • - Compute barycenter of the face \(\displaystyle b=1/N \sum_{i=0}^{N-1}p_i\)

  • - New vertices are \(\displaystyle n_i=(p_i+m_i+m_{i-1}+b)/4\)

doo sabin scheme

doo sabin result