Math @ Duke

Publications [#264983] of Guillermo Sapiro
Papers Published
 Niethammer, M; Betelu, S; Sapiro, G; Tannenbaum, A; Giblin, PJ, Areabased medial axis of planar curves,
International Journal of Computer Vision, vol. 60 no. 3
(2004),
pp. 203224 [doi]
(last updated on 2017/12/11)
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 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.


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