The bisector of a point and a plane parametric curve
Computer Aided Geometric Design
Skeletonization via distance maps and level sets
Computer Vision and Image Understanding
The Voronoi Diagram of Curved Objects
Discrete & Computational Geometry
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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.