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@InProceedings{AudigierLotu:2005:TiWaBo,
               author = "Audigier, Romaric and Lotufo, Roberto de Alencar",
          affiliation = "Universidade Estadual de Campinas (UNICAMP), Brazil.",
                title = "Tie-zone watershed, bottlenecks and segmentation robustness 
                         analysis",
            booktitle = "Proceedings...",
                 year = "2005",
               editor = "Rodrigues, Maria Andr{\'e}ia Formico and Frery, Alejandro 
                         C{\'e}sar",
         organization = "Brazilian Symposium on Computer Graphics and Image Processing, 18. 
                         (SIBGRAPI)",
            publisher = "IEEE Computer Society",
              address = "Los Alamitos",
             keywords = "mathematical morphology, image segmentation, watershed, IFT, 
                         segmentation robustness.",
             abstract = "In a recent paper, a new type of watershed (WS) transform was 
                         introduced: the tie-zone watershed (TZWS). This region-based 
                         watershed transform does not depend on arbitrary implementation 
                         and provides a unique (and thereby unbiased) optimal solution. 
                         Indeed, many optimal solutions are sometimes possible when 
                         segmenting an image by WS. The TZWS assigns each pixel to a 
                         catchment basin (CB) if in all solutions it belongs to this CB. 
                         Otherwise, the pixel is said to belong to a tie-zone (TZ). An 
                         efficient algorithm computing the TZWS and based on the Image 
                         Foresting Transform (IFT) was also proposed. In this article, we 
                         define the new concept of {"}bottlenecks{"} in the watermerging 
                         paradigm. Intuitively, the bottlenecks are the first contact 
                         points between at least two different wave fronts. They are pixels 
                         in the image where different colored waters meet and tie and from 
                         which may begin, therefore, the tie-zones. They represent the 
                         origin points or the access of the tie-zones (regions that cannot 
                         be labeled without making arbitrary choices). If they are 
                         preferentially assigned to one or another colored water according 
                         to an arbitrary processing order, as occurs in most of watershed 
                         algorithm, an entire region (its influence zone -- the 
                         {"}bottle{"}!) is conquered together. The bottlenecks play 
                         therefore an important role in the bias that could be introduced 
                         by a WS implementation. It is why we show in this paper that both 
                         tie-zones and bottlenecks analysis can be associated with the 
                         robustness of a segmentation.",
  conference-location = "Natal",
      conference-year = "9-12 Oct. 2005",
             language = "en",
           targetfile = "audigierr_tiezone.pdf",
        urlaccessdate = "2020, Dec. 03"
}


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