Dynamic Medial Axes of Planar Shapes

  • Kai Tang
  • Yongjin Liu
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4035)


In this paper a computational model called dynamic medial axis (\(\mathcal{DMA}\)) is proposed to describe the internal evolution of planar shapes. To define the \(\mathcal{DMA}\), a symbolic representation called matching list is proposed to depict the topological structure of the medial axis. As shown in this paper with provable properties, the \(\mathcal{DMA}\) exhibits an interesting dynamic skeleton structure for planar shapes. Finally an important application of the proposed \(\mathcal{DMA}\) — computing the medial axis of multiply-connected planar shapes with curved boundaries — is presented.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Kai Tang
    • 1
  • Yongjin Liu
    • 2
  1. 1.The Hong Kong University of Science and Technology 
  2. 2.Tsinghua UniversityBeijingP.R. China

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