The medial axis of a geometric shape captures its connectivity. In spite of its inherent instability, it has found applications in a number of areas that deal with shapes. In this survey paper, we focus on results that shed light on this instability and use the new insights to generate simplified and stable modifications of the medial axis.
CITATION STYLE
Attali, D., Boissonnat, J. D., & Edelsbrunner, H. (2009). Stability and computation of medial axes: A state-of-the-art report. In Mathematics and Visualization (Vol. 0, pp. 109–125). Springer Heidelberg. https://doi.org/10.1007/b106657_6
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