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@InProceedings{AudigierLotu:2007:SeSeRo,
               author = "Audigier, Romaric and Lotufo, Roberto de Alencar",
          affiliation = "Faculdade de Engenharia El{\'e}trica e de Computa{\c{c}}{\~a}o, 
                         UNICAMP and Faculdade de Engenharia El{\'e}trica e de 
                         Computa{\c{c}}{\~a}o, UNICAMP",
                title = "Seed-relative segmentation robustness of watershed and fuzzy 
                         connectedness approaches",
            booktitle = "Proceedings...",
                 year = "2007",
               editor = "Falc{\~a}o, Alexandre Xavier and Lopes, H{\'e}lio C{\^o}rtes 
                         Vieira",
         organization = "Brazilian Symposium on Computer Graphics and Image Processing, 20. 
                         (SIBGRAPI)",
            publisher = "IEEE Computer Society",
              address = "Los Alamitos",
             keywords = "image segmentation, segmentation robustness, fuzzy connectedness, 
                         watershed transform, image foresting transform, minimum spanning 
                         forest, shortest-path forest.",
             abstract = "This paper analyzes the robustness issue in three segmentation 
                         approaches: the iterative relative fuzzy object extraction, the 
                         watershed transforms (WT) by image foresting transform and by 
                         minimum spanning forest. These methods need input seeds, which can 
                         be source of variability in the segmentation result. So, the 
                         robustness of these segmentation methods in relation to the input 
                         seeds is focused. The core of each seed is defined as the region 
                         where the seed can be moved without altering the segmentation 
                         result. We demonstrate that the core is identical for the three 
                         methods providing that the tie-zone transform has previously been 
                         applied on these methods. Indeed, as the two WT approaches do not 
                         return unique solution, the set of possible solutions has to be 
                         considered in a unified solution. So does the tie-zone transform. 
                         As opposed to what we could think, we show that the core is 
                         included in but different from the catchment basin. We also 
                         demonstrate that the tie-zone transforms of these WTs are always 
                         identical. Furthermore, the framework of minimal sets of seeds, an 
                         inverse problem of segmentation, is extended to the pixel level 
                         and related to the cores. A new algorithm for the computation of 
                         minimal seed sets is finally proposed.",
  conference-location = "Belo Horizonte",
      conference-year = "Oct. 7-10, 2007",
             language = "en",
           targetfile = "audigier_robust.pdf",
        urlaccessdate = "2020, Oct. 26"
}


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