An overview of morphological filtering
Circuits, Systems, and Signal Processing - Special issue: median and morphological filters
Attribute openings, thinnings, and granulometries
Computer Vision and Image Understanding
Shape Preserving Filament Enhancement Filtering
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Efficient complete and incomplete path openings and closings
Image and Vision Computing
Antiextensive connected operators for image and sequence processing
IEEE Transactions on Image Processing
Efficient Geodesic Attribute Thinnings Based on the Barycentric Diameter
Journal of Mathematical Imaging and Vision
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An attribute opening is an idempotent, anti-extensive and increasing operator that removes, in the case of binary images, all the connected components (CC) which do not fulfil a given criterion. When the increasingness property is dropped, more general algebraic thinnings are obtained. We propose in this paper, to use criteria based on the geodesic diameter to build algebraic thinnings for greyscale images. An application to the extraction of cracks is then given to illustrate the performance of the proposed filters. Finally, we will discuss the advantages of these new operators compared to other methods.