@InProceedings{CombaStol:1993:AfArAp,
               author = "Comba, Jo{\~a}o Luiz Dihl and Stolfi, Jorge",
          affiliation = "{Laborat{\'o}rio de Computa{\c{c}}{\~a}o Gr{\'a}fica 
                         (LCG-COPPE) da Universidade Federal do Rio de Janeiro} and 
                         {Departamento da Ci{\^e}ncia da Computa{\c{c}}{\~a}o (DCC) da 
                         Universidade Estadual de Campinas (UNICAMP)}",
                title = "Affine arithmetic and its applications to computer graphics",
            booktitle = "Anais...",
                 year = "1993",
               editor = "Figueiredo, Luiz Henrique de and Gomes, Jonas de Miranda",
                pages = "9--18",
         organization = "Simp{\'o}sio Brasileiro de Computa{\c{c}}{\~a}o Gr{\'a}fica e 
                         Processamento de Imagens, 6. (SIBGRAPI)",
            publisher = "Sociedade Brasileira de Computa{\c{c}}{\~a}o",
              address = "Porto Alegre",
             keywords = "computer graphics, construction of octrees, implicit surfaces, 
                         arithmetic.",
             abstract = "We describe a new method for numeric computations, which we call 
                         affine arithmetic (AA). This model is similar to standard interval 
                         arithmetic, to the extent that it automatically keeps track or 
                         rounding and truncation errors for each computed value. However, 
                         by taking into account correlations between operands and 
                         sub-formulas, AA is able to provide much tighter bounds for the 
                         computed quantities, with errors that are approximately quadratic 
                         in the uncertainty of the input variables. We also describe two 
                         applications of AA to computer graphics problems, where this 
                         feature is particularly valuable: namely, ray tracing and the 
                         construction of octrees for implicit surfaces.",
  conference-location = "Recife, PE, Brazil",
      conference-year = "19-22 Oct. 1993",
                 isbn = "978-85-7669-271-3",
             language = "en",
                  ibi = "8JMKD3MGPBW34M/3D6UQ68",
                  url = "http://urlib.net/ibi/8JMKD3MGPBW34M/3D6UQ68",
           targetfile = "2 Affine arithmetic and its applications to computer 
                         graphics.pdf",
                 type = "Rendering",
               volume = "1",
        urlaccessdate = "2024, May 03"
}