Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
An overview of morphological filtering
Circuits, Systems, and Signal Processing - Special issue: median and morphological filters
Connectivity in Digital Pictures
Journal of the ACM (JACM)
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Pattern recognition using morphological class distribution functions and classification trees
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
On directionality in morphological feature extraction
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
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The paper presents a novel approach to the classification of binary image pixels based on mathematical morphology. The proposed method makes use of new class extractor operators to extract pixels belonging to pre-defined classes from the original image. The classes consist of pixels characterized by particular morphological properties. In the paper, a general scheme of a morphological classifier is introduced. Depending on the class to be detected, various extractors can be defined based on the mathematical morphology. The extracted classes can be organized in a class hierarchy tree structure. Apart from the general framework of a morphological classifier, various class extractors are described as well. Another notion introduced in the paper are class distribution functions, which can be used as shape descriptors for pattern recognition. Finally, two practical examples of classification of binary image pixels are presented, representing an application to shape description and to analysis of the shape of water bodies.