Now showing items 1-4 of 4

    • Affine skeletons and monge-ampere equations 

      Silva, Moacyr Alvim Horta Barbosa da; Teixeira, Ralph Costa; Velho, Luiz
      2009
      An important question about a. ne skeletons is the existence of differential equations that are related to the 'affine distance' and the 'area distance' (hence to a. ne skeletons) in the same way the Eikonal equation is ...
    • Area distances of convex plane curves and improper affine spheres 

      Craizer, Marcos; Alvim, Moacyr; Teixeira, Ralph Costa
      2008
      The area distance to a convex plane curve is an important concept in computer vision. In this paper we describe a strong link between area distances and improper affine spheres. Based on this link, we propose an extremely ...
    • A fast marching method for the area based affine distance 

      Silva, Moacyr Alvim Horta Barbosa da; Teixeira, Ralph Costa; Pesco, Sinesio; Craizer, Marcos
      2008-01
      In a previous paper, it was proved that the area based affine distance of a convex region in the plane satisfies a non-homogeneous Monge-Ampere differential equation. Based on this equation, in this paper we propose a fast ...
    • A geometric representation of improper indefinite affine spheres with singularities 

      Craizer, Marcos; Teixeira, Ralph Costa; Silva, Moacyr Alvim Horta Barbosa da
      2011
      Given a pair of planar curves, one can define its generalized area distance, a concept that generalizes the area distance of a single curve. In this paper, we show that the generalized area distance of a pair of planar ...