Characterization and Statistics of Distance-Based Elementary Morphological Operators
Alves Do Nascimento, Arlyson ; Marcos Eduardo, Valle
HAL, hal-02144468 / Harvested from HAL
Text on HAL
Mathematical morphology (MM) is a powerful theory widely used for image processing and analysis. Distance-based morphological operators are parametrized by a reference value so that a dilation enlarges regions of an image similar to the reference while an erosion shrinks them. In this paper, we first characterize distance-based erosions, dilations, and gradients as a function of the reference. Then, assuming the reference is a sample from a random variable, we use a descriptive statistic to obtain relevant information on a certain distance-based morphological operator. We validate our approach by presenting a successful application of some statistics of distance-based morphological operators for edge detection in color images.
Publié le : 2019-07-08
Classification:  Mathematical morphology,  multivalued images,  distance-based order,  descriptive statistics,  edge detection,  [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST],  [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing,  [INFO.INFO-CV]Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV] 
@article{hal-02144468,
     author = {Alves Do Nascimento, Arlyson and Marcos Eduardo, Valle},
     title = {Characterization and Statistics of Distance-Based Elementary Morphological Operators},
     journal = {HAL},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-02144468}
}

Alves Do Nascimento, Arlyson; Marcos Eduardo, Valle. Characterization and Statistics of Distance-Based Elementary Morphological Operators. HAL, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/hal-02144468/