Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke





.......................

.......................


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 (2004), pp. 203-224 [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.

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320