@InProceedings{CraizerLewiMorv:2006:PaPoDi,
               author = "Craizer, Marcos and Lewiner, Thomas and Morvan, Jean-Marie",
          affiliation = "{Departamento de Matematica. PUC - Rio de Janeiro} and 
                         {Departamento de Matematica. PUC - Rio de Janeiro} and {Universite 
                         Claude Bernard. Lyon}",
                title = "Parabolic Polygons and Discrete Affine Geometry",
            booktitle = "Proceedings...",
                 year = "2006",
               editor = "Oliveira Neto, Manuel Menezes de and Carceroni, Rodrigo Lima",
         organization = "Brazilian Symposium on Computer Graphics and Image Processing, 19. 
                         (SIBGRAPI)",
            publisher = "IEEE Computer Society",
              address = "Los Alamitos",
             keywords = "Affine Differential Geometry, Affine Curvature.",
             abstract = "Geometry processing applications estimate the local geometry of 
                         objects using information localized at points. They usually 
                         consider information about the normal as a side product of the 
                         points coordinates. This work proposes parabolic polygons as a 
                         model for discrete curves, which intrinsically combines points and 
                         normals. This model is naturally affine invariant, which makes it 
                         particularly adapted to computer vision applications. This work 
                         introduces estimators for affine length and curvature on this 
                         discrete model and presents, as a proof-of-concept, an affine in- 
                         variant curve reconstruction.",
  conference-location = "Manaus, AM, Brazil",
      conference-year = "8-11 Oct. 2006",
                  doi = "10.1109/SIBGRAPI.2006.32",
                  url = "http://dx.doi.org/10.1109/SIBGRAPI.2006.32",
             language = "en",
                  ibi = "6qtX3pFwXQZG2LgkFdY/LJoiq",
                  url = "http://urlib.net/ibi/6qtX3pFwXQZG2LgkFdY/LJoiq",
           targetfile = "AffineEstimators_Sibgrapi.pdf",
        urlaccessdate = "2024, May 03"
}