@InProceedings{BordignonVaViFeCrLe:2009:ScUn3D,
               author = "Bordignon, Alex and Vath, Betina and Vieira, Thales and Ferreira, 
                         Cynthia O. L. and Craizer, Marcos and Lewiner, Thomas",
          affiliation = "Matm{\'{\i}}dia Laboratory – Department of Mathematics, PUC–Rio 
                         – Rio de Janeiro, Brazil and Matm{\'{\i}}dia Laboratory – 
                         Department of Mathematics, PUC–Rio – Rio de Janeiro, Brazil and 
                         Matm{\'{\i}}dia Laboratory – Department of Mathematics, PUC–Rio 
                         – Rio de Janeiro, Brazil and Institut de Math{\'e}matiques - INSA 
                         - Toulouse, France and Matm{\'{\i}}dia Laboratory – Department 
                         of Mathematics, PUC–Rio – Rio de Janeiro, Brazil and 
                         Matm{\'{\i}}dia Laboratory – Department of Mathematics, PUC–Rio 
                         – Rio de Janeiro, Brazil",
                title = "Scale-Space for Union of 3D Balls",
            booktitle = "Proceedings...",
                 year = "2009",
               editor = "Nonato, Luis Gustavo and Scharcanski, Jacob",
         organization = "Brazilian Symposium on Computer Graphics and Image Processing, 22. 
                         (SIBGRAPI)",
            publisher = "IEEE Computer Society",
              address = "Los Alamitos",
             keywords = "Union of Balls, Scale Spaces, Curvature Motion.",
             abstract = "Shape discretization through union of weighted points or balls 
                         appears as a common representation in different \fields of 
                         computer graphics and geometric modeling. Among others, it has 
                         been very successful for implicit surface reconstruction with 
                         radial basis functions, molecular atomic models, \fluid 
                         simulation from particle systems and deformation tracking with 
                         particle \filters. These representations are commonly 
                         generated from real measurements or numerical computations, which 
                         may require \filtering and smoothing operations.This work 
                         proposes a smoothing mechanism for union of balls that tries to 
                         inherit from the scale-space properties of bi-dimensional 
                         curvature motion: it avoids disconnecting the shape, prevents 
                         self-intersection, regularly decreases the area and 
                         convexi\fies the shape. The smoothing is computed 
                         iteratively by moving each ball of the union according to a 
                         combination of projected planar curvature motions. Experiments 
                         exhibits nice properties of this scale-space.",
  conference-location = "Rio de Janeiro, RJ, Brazil",
      conference-year = "11-14 Oct. 2009",
                  doi = "10.1109/SIBGRAPI.2009.9",
                  url = "http://dx.doi.org/10.1109/SIBGRAPI.2009.9",
             language = "en",
                  ibi = "8JMKD3MGPBW4/35S5DBH",
                  url = "http://urlib.net/ibi/8JMKD3MGPBW4/35S5DBH",
           targetfile = "57785_2.pdf",
        urlaccessdate = "2024, Apr. 28"
}