@InProceedings{HashimotoBarr:1999:SiAlDe,
               author = "Hashimoto, Ronaldo Fumio and Barrera, Junior",
                title = "A simple algorithm for decomposing convex structuring elements",
            booktitle = "Proceedings...",
                 year = "1999",
               editor = "Stolfi, Jorge and Tozzi, Cl{\'e}sio Luis",
                pages = "275--282",
         organization = "Brazilian Symposium on Computer Graphics and Image Processing, 12. 
                         (SIBGRAPI)",
            publisher = "IEEE Computer Society",
              address = "Los Alamitos",
                 note = "The conference was held in Campinas, SP, Brazil, from October 17 
                         to 20.",
             keywords = "convex structuring element, decomposition, minkowski addition.",
             abstract = "A finite subset of Z2 is called a structuring element. This paper 
                         presents a new and simple algorithm for decomposing a convex 
                         structuring element as sequence of Minkowski addition of a minimum 
                         number of subsets of the elementary square (i.e., the 3 x 3 square 
                         centered at the origin). Besides its simplicity, the advantage of 
                         this algorithm over some known algorithms is that it generates a 
                         sequence of non necessarily convex subsets, what means subsets 
                         with smaller cardinality and, consequently, faster implementation 
                         of the corresponding dilations and erosions. The algorithm is 
                         based on algebraic and geometrical properties of Minkowski 
                         additions. Theoretical analysis of correctness and computacional 
                         time complexity are also presented.",
  conference-location = "Campinas, SP, Brazil",
      conference-year = "17-20 Oct. 1999",
                  doi = "10.1109/SIBGRA.1999.805735",
                  url = "http://dx.doi.org/10.1109/SIBGRA.1999.805735",
         organisation = "SBC - Brazilian Computer Society and UNICAMP - University of 
                         Campinas",
                  ibi = "83LX3pFwXQZ4BFjAq/jhcvB",
                  url = "http://urlib.net/ibi/83LX3pFwXQZ4BFjAq/jhcvB",
           targetfile = "020-23414266.pdf",
        urlaccessdate = "2024, May 02"
}