Area-based medial axis of planar curves

Journal Article

A new definition of affine invariant medial axis of planar closed curves is introduced. A point belongs to the affine medial axis if and only if it is equidistant from at least two points of the curve, with the distance being a minimum and given by the areas between the curve and its corresponding chords. The medial axis is robust, eliminating the need for curve denoising. In a dynamical interpretation of this affine medial axis, the medial axis points are the affine shock positions of the affine erosion of the curve. We propose a simple method to compute the medial axis and give examples. We also demonstrate how to use this method to detect affine skew symmetry in real images.

Full Text

Duke Authors

Cited Authors

  • Niethammer, M; Betelu, S; Sapiro, G; Tannenbaum, A; Giblin, PJ

Published Date

  • 2004

Published In

  • International Journal of Computer Vision

Volume / Issue

  • 60 / 3

Start / End Page

  • 203 - 224

PubMed ID

  • 23710110

Digital Object Identifier (DOI)

  • 10.1023/B:VISI.0000036835.28674.d0