Title : 
Linear filtering and mathematical morphology on an image: A bridge
         
        
            Author : 
Strauss, Olivier ; Loquin, Kevin
         
        
            Author_Institution : 
LIRMM, Univ. Montpellier II, Montpellier, France
         
        
        
        
        
        
            Abstract : 
In this paper, we propose to show that a particular fuzzy extension of mathematical morphology coincides with a non-additive extension of linear filtering based on convolution kernels thus bridging the two approaches.
         
        
            Keywords : 
convolution; filtering theory; fuzzy set theory; image processing; mathematical morphology; convolution kernels; fuzzy extension; linear filtering; mathematical morphology; non-additive extension; Bridges; Convolution; Filtering theory; Kernel; Lighting; Maximum likelihood detection; Morphology; Nonlinear filters; Pixel; Possibility theory; linear filtering; morphology; possibility theory;
         
        
        
        
            Conference_Titel : 
Image Processing (ICIP), 2009 16th IEEE International Conference on
         
        
            Conference_Location : 
Cairo
         
        
        
            Print_ISBN : 
978-1-4244-5653-6
         
        
            Electronic_ISBN : 
1522-4880
         
        
        
            DOI : 
10.1109/ICIP.2009.5413800