author = "Estrada Sarlabous, Jorge and Hern{\'a}ndez Mederos, Victoria and 
                         Mart{\'{\i}}nez, Dimas and Velho, Luiz and L{\'o}pez Gil, 
          affiliation = "ICIMAF and ICIMAF and UFAL and IMPA and ICIMAF",
                title = "Geodesic conic subdivision curves on surfaces",
            booktitle = "Proceedings...",
                 year = "2011",
               editor = "Lewiner, Thomas and Torres, Ricardo",
         organization = "Conference on Graphics, Patterns and Images, 24. (SIBGRAPI)",
            publisher = "IEEE Computer Society",
              address = "Los Alamitos",
             keywords = "geodesic, conic, subdivision curve.",
             abstract = "In this paper we present a nonlinear curve subdivision scheme, 
                         suitable for designing curves on surfaces. Starting with a 
                         geodesic control polygon with vertices on a surface, the scheme 
                         generates a sequence of geodesic polygons that converges to a 
                         continuous curve on the surface. In the planar case, the limit 
                         curve is a conic Bezier spline curve. Each section of the 
                         subdivision curve, corresponding to three consecutive points of 
                         the control polygon, depends on a free parameter which can be used 
                         to obtain a local control of the shape of the curve. Furthermore, 
                         it has the convex hull property. Results are extended to 
                         triangulated surfaces showing that the scheme is suitable for 
                         designing curves on these surfaces.",
  conference-location = "Macei{\'o}",
      conference-year = "Aug. 28 - 31, 2011",
             language = "en",
           targetfile = "subdivisionconicaSIBGRAPIfinal.pdf",
        urlaccessdate = "2020, Feb. 25"