author = "Stuke, Ingo and Barth, Erhardt and Mota, Cicero",
          affiliation = "Institute for Signal Processing, University of Luebeck and 
                         Institute for Neuro- and Bioinformatics, University of L uebeck 
                         and Departamento de Matem{\'a}tica, Universidade Federal do 
                title = "Estimation of Multiple Orientations and Multiple Motions in 
                         Multi-Dimensional Signals",
            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 = "multiple orientations, multiple motions, transparency, 
             abstract = "Estimation of multiple orientations in multi-dimensional signals 
                         is a strong non-linear problem. A solution form this problem is 
                         presented in two steps. First, it is linearized by introducing the 
                         so-called {"}mixed orientations parameters{"} as an unique, albeit 
                         implicit, descriptor of the orientations. Next, the 
                         non-linearities are solved in order to find the individual 
                         orientations. For two-dimensional signals, e.g., images, this 
                         decomposition step is solved by seeking for the roots of 
                         polynomials. For multi-dimensional signals, the decomposition 
                         problem is reduced to a cascade of decompositions problems in two 
                         dimensional signals and solved. Therefore, a full solution for the 
                         estimation of any numbers of orientations in any dimension is 
  conference-location = "Manaus",
      conference-year = "8-11 Oct. 2006",
             language = "en",
           targetfile = "MotaC_EstimationOrientationMotion.pdf",
        urlaccessdate = "2020, Nov. 28"