Publications [#264983] of Guillermo Sapiro

Papers Published

1. Niethammer, M; Betelu, S; Sapiro, G; Tannenbaum, A; Giblin, PJ, Area-Based Medial Axis of Planar Curves., International journal of computer vision, vol. 60 no. 3 (December, 2004), pp. 203-224
   (last updated on 2024/04/17)

   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.