author = "Audigier, Romaric and Lotufo, Roberto",
          affiliation = "{FEEC - Unicamp} and {FEEC - Unicamp}",
                title = "Duality between the watershed by image foresting transform and the 
                         fuzzy connectedness segmentation approaches",
            booktitle = "Proceedings...",
                 year = "2006",
               editor = "Oliveira Neto, Manuel Menezes de and Carceroni, Rodrigo Lima",
         organization = "Brazilian Symposium on Computer Graphics and Image Processing, 19. 
            publisher = "IEEE Computer Society",
              address = "Los Alamitos",
             keywords = "image segmentation, watershed, mathematical morphology, image 
                         foresting transform, graph theory, fuzzy connectedness.",
             abstract = "This paper makes a rereading of two successful image segmentation 
                         approaches, the fuzzy connectedness (FC) and the watershed (WS) 
                         approaches, by analyzing both by means of the Image Foresting 
                         Transform (IFT). This graph-based transform provides a sound 
                         framework for analyzing and implementing these methods. This 
                         paradigm allows to show the duality existing between the WS by IFT 
                         and the FC segmentation approaches. Both can be modeled by an 
                         optimal forest computation in a dual form (maximization of the 
                         similarities or minimization of the dissimilarities), the main 
                         difference being the input parameters: the weights associated to 
                         each arc of the graph representing the image. In the WS approach, 
                         such weights are based on the (possibly filtered) image gradient 
                         values whereas they are based on much more complex affinity values 
                         in the FC theory. An efficient algorithm for both FC and IFT-WS 
                         computation is proposed. Segmentation robustness issue is also 
  conference-location = "Manaus",
      conference-year = "8-11 Oct. 2006",
             language = "en",
           targetfile = "audigier-dualityIFT.pdf",
        urlaccessdate = "2022, Jan. 22"