author = "Alves, Andr{\'e} Hiroshi Hayashi and Mascarenhas, Nelson Delfino 
          affiliation = "{Divis{\~a}o de Processamento de Imagens (DPI) do Instituto 
                         Nacional de Pesquisas Espaciais (INPE)} and {Divis{\~a}o de 
                         Processamento de Imagens (DPI) do Instituto Nacional de Pesquisas 
                         Espaciais (INPE)}",
                title = "Probabilistic and dictionary-based relaxation techniques applied 
                         to a statistical method of edge detection",
            booktitle = "Anais...",
                 year = "1993",
               editor = "Figueiredo, Luiz Henrique de and Gomes, Jonas de Miranda",
                pages = "81--87",
         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 = "relaxation techniques probabilistic, statistical method of edge 
                         detection, Image Processing.",
             abstract = "Two relaxation schemes, a probabilistic and a dictionary-based 
                         one, applied to edge detection, are described. The problem of edge 
                         detection is defined using a statistical approach. The solution, 
                         in terms of statistical decision theory, leads to a test among 
                         hypotheses of configurations of sets of four pixels (quadruplets). 
                         The relaxation schemes are also developed using the quadriplets as 
                         labelling objects. The initial probabilities for the label set of 
                         each object are synthesized from the values obtained in the 
                         statistical tests. The interaction neighborhood adopted for the 
                         two methods is the 4-neighborhood. The iterative label probability 
                         updating is performed using a classical heuristic procedure in the 
                         two schemes. Tests using noisy synthetic and real images are 
                         presented. An experimental analysis of convergence to a consistent 
                         and non-ambiguous labelling and speed of convergence is performed 
                         for the two schemes and results are compared. A change in the 
                         dictionary according to a modification in the definition of 
                         consistency is proposed and the resulting scheme is tested and 
                         compared with the two other ones.",
  conference-location = "Recife",
      conference-year = "19 - 22 out. 1993",
                 isbn = "978-85-7669-271-3",
             language = "en",
                  ibi = "8JMKD3MGPBW34M/3D76B3B",
                  url = "",
           targetfile = "10 Probabilistic and dicionary.pdf",
                 type = "Processamento de Imagens I",
               volume = "1",
        urlaccessdate = "2021, Mar. 01"