author = "Couprie, Michel and Saude, Andr{\'e} Vital and Bertrand, Gilles",
          affiliation = "Institut Gaspard-Monge, Laboratoire A2SI, Groupe ESIEE and State 
                         University of Campinas, DCA-FEEC-UNICAMP and Institut 
                         Gaspard-Monge, Laboratoire A2SI, Groupe ESIEE",
                title = "Euclidean homotopic skeleton based on critical kernels",
            booktitle = "Proceedings...",
                 year = "2006",
               editor = "Oliveira Neto, Manuel Menezes de and Carceroni, Rodrigo Lima",
         organization = "Brazilian Symposium on Computer Graphics and Image Processing, 19. 
            publisher = "IEEE Computer Society",
              address = "Los Alamitos",
             keywords = "parallel thinning, Euclidean distance, medial axis, homotopy, 
                         critical kernels.",
             abstract = "Critical kernels constitute a general framework settled in the 
                         category of abstract complexes for the study of parallel thinning 
                         in any dimension. It allows to easily design parallel thinning 
                         algorithms which produce new types of skeletons, with specific 
                         geometrical properties, while guaranteeing their topological 
                         soundness. In this paper, we demonstrate that it is possible to 
                         define a skeleton based on the Euclidean distance, rather than on 
                         the common discrete distances, in the context of critical kernels. 
                         We provide the necessary definitions as well as an efficient 
                         algorithm to compute this skeleton.",
  conference-location = "Manaus",
      conference-year = "8-11 Oct. 2006",
             language = "en",
           targetfile = "euclideankernels_versionfinale.pdf",
        urlaccessdate = "2021, June 13"