@InProceedings{AndradeStol:1997:ExReOp,
               author = "Andrade, Marcus Vin{\'{\i}}cius Alvim and Stolfi, Jorge",
                title = "Exact representation and operations on spherical maps",
            booktitle = "Proceedings...",
                 year = "1997",
               editor = "Figueiredo, Luiz Henrique de and Netto, Marcio Lobo",
                pages = "79--86",
         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 develop exact algorithms for geometric operations on general 
                         circles and circular arcs on the sphere, using integer homogeneous 
                         coordinates. The algorithms include testing a point against a 
                         circle, computing the intersection of two circles, and ordering 
                         three arcs out of the same point. These operations allow robust 
                         manipulation of maps on the sphere, providing a reliable framework 
                         for GIS, robotics, and other geometric applications.",
  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/doTb7",
                  url = "http://urlib.net/ibi/83LX3pFwXQZW44Lb/doTb7",
           targetfile = "art72.pdf",
        urlaccessdate = "2024, May 03"
}