@InProceedings{HirataBarrDoug:1999:DeStOp,
               author = "Hirata, N. S. T. and Barrera, J. and Dougherty, E. R.",
                title = "Design of statistically optimal stack filters",
            booktitle = "Proceedings...",
                 year = "1999",
               editor = "Stolfi, Jorge and Tozzi, Cl{\'e}sio Luis",
                pages = "265--274",
         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 = "stack filters, design, gray-scale, filters.",
             abstract = "Any gray-scale image can be represented as a stack of a decreasing 
                         sequence of binary images, obtained by thresholding the gray-scale 
                         image at each level. Stack filters are a special class of 
                         gray-scale image operators whose filtered images can be 
                         represented as the stack of binary images resulting of applying an 
                         increasing binary operator for each image of the stack. A 
                         classical example of stack filter is the median filter: the median 
                         of a gray-scale image is the same as the sum of the binary median 
                         computed for each of the binary images in the stack. Thus, the 
                         design of stack filters can be reduced to the design of the binary 
                         operators that characterize them. This paper reviews stack filters 
                         in the context of mathematical morphology on discrete images, and 
                         shows that the problem of designing optimal mean-absolute error 
                         (MAE) stack filters is an optimization problem equivalent to the 
                         design of optimal MAE binary increasing operators. A new 
                         combinatorial algorithm for designing binary increasing operators 
                         is applied on the design of stack filters for impulse and speckle 
                         noise reduction.",
  conference-location = "Campinas, SP, Brazil",
      conference-year = "17-20 Oct. 1999",
                  doi = "10.1109/SIBGRA.1999.805734",
                  url = "http://dx.doi.org/10.1109/SIBGRA.1999.805734",
         organisation = "SBC - Brazilian Computer Society and UNICAMP - University of 
                         Campinas",
                  ibi = "83LX3pFwXQZ4BFjAq/jiHMG",
                  url = "http://urlib.net/ibi/83LX3pFwXQZ4BFjAq/jiHMG",
           targetfile = "059-28361096.pdf",
        urlaccessdate = "2024, May 02"
}