title: Area-Based Medial Axis of Planar Curves.
abstract: 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 theareasbetween 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.
authors.affiliation: Department of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0250, USA.
authors.forename: Marc
authors.initials: M
authors.lastname: Niethammer
authors.forename: Santiago
authors.initials: S
authors.lastname: Betelu
authors.forename: Guillermo
authors.initials: G
authors.lastname: Sapiro
authors.forename: Allen
authors.initials: A
authors.lastname: Tannenbaum
authors.forename: Peter J
authors.initials: PJ
authors.lastname: Giblin
keywords: affine invariant; area; medial axis; pattern recognition; shape; symmetry