Abstract
The medial axis (or skeleton) of a shape is the set of centers of discs of maximal radii inscribed in the shape. It provides a skeleton-like structure, which, when the associated maximal radii are also stored (providing the medial axis transform) uniquely encodes the shape geometry. This chapter described some fundamental properties of this transforms introduces some extensions.
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Notes
- 1.
A function m is analytic at t if it is infinitely differentiable at this point, and equal to the limit of its infinite Taylor series.
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© 2019 Springer-Verlag GmbH Germany, part of Springer Nature
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Younes, L. (2019). The Medial Axis. In: Shapes and Diffeomorphisms. Applied Mathematical Sciences, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-58496-5_2
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DOI: https://doi.org/10.1007/978-3-662-58496-5_2
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-58495-8
Online ISBN: 978-3-662-58496-5
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