Morphological reduction of skeleton redundancy
Signal Processing - Special issue on mathematical morphology and its applications to signal processing
Morphological segmentation on learned boundaries
Image and Vision Computing
Ultimate Attribute Opening Segmentation with Shape Information
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Fast Implementation of the Ultimate Opening
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Text segmentation in natural scenes using toggle-mapping
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Morphological segmentation of building façade images
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Ultimate opening and gradual transitions
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Cytology imaging segmentation using the locally constrained watershed transform
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Efficient Geodesic Attribute Thinnings Based on the Barycentric Diameter
Journal of Mathematical Imaging and Vision
Adaptive morphology using tensor-based elliptical structuring elements
Pattern Recognition Letters
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Binary morphological transformations based on the residues (ultimate erosion, skeleton by openings, etc.) and their associated functions which are based on the analysis of the residue evolution in every point of the image are extended to functions. In this approach, the associated function indicates the value of the residue index for which the evolution is the most important. The approach also has the advantage of supplying effective tools for shape analysis and of allowing the definition of new residual transforms together with their associated functions. Two of these numerical residues will be introduced, called, respectively, ultimate opening and quasi-distance and, through some applications, the interest and efficiency of these operators will be illustrated. Finally, this residual approach will be extended to more complex operators.