@InProceedings{PintoReze:1997:ReCoOr,
               author = "Pinto, Guilherme Albuquerque and Rezende, Pedro J. de",
                title = "Representation of conics in the oriented projective plane",
            booktitle = "Proceedings...",
                 year = "1997",
               editor = "Figueiredo, Luiz Henrique de and Netto, Marcio Lobo",
                pages = "71--78",
         organization = "Brazilian Symposium on Computer Graphics and Image Processing, 10. 
                         (SIBGRAPI)",
            publisher = "IEEE Computer Society",
              address = "Los Alamitos",
                 note = "The conference was held in Campos de Jord{\~a}o, SP, Brazil, from 
                         October 13 to 16.",
             abstract = "We present a geometric definition of conic sections in the 
                         oriented projective plane and describe some of their nice 
                         properties. This definition leads to a very simple and unambiguous 
                         representation for affine conics and conic arcs. A conic (of any 
                         type) is represented by the homogeneous coordinates of its foci 
                         and one point on it, hence, the metric plays a major role in this 
                         case as opposed to the traditional algebraic characterization of 
                         conics as second degree polynomial curves. This representation is 
                         particularly suitable for the implementation of geometric 
                         solutions of problems that involve the concept of distance. 
                         Furthermore, we discuss point location with respect to conic 
                         curves which constitutes an important elementary operation for the 
                         solution of many such problems.",
  conference-location = "Campos de Jord{\~a}o, SP, Brazil",
      conference-year = "Oct. 1997",
             language = "en",
         organisation = "SBC - Sociedade Brasileira de Computa{\c{c}}{\~a}o; USP - 
                         Universidade de S{\~a}o Paulo",
                  ibi = "83LX3pFwXQZW44Lb/d8pVf",
                  url = "http://urlib.net/ibi/83LX3pFwXQZW44Lb/d8pVf",
           targetfile = "art16.pdf",
        urlaccessdate = "2024, May 03"
}