- Presenting the elementary bricks: erosion and dilations, as minima and maxima of translated sets.
- Introducing the adjunction between operators, which couple all erosions and dilations.
- Present the openings and closings derived from the adjunction.
- Extend to algebraic openings and closings.
- Present the floodings and razings as connected openings and closings preserving the contours.
- Set up the basics of the theory of morphology filtering, as combinations of openings and closings.
- Present the levelings, commutative product of floodings and razings.
- Introduce the important watershed transform, for segmenting images.
- Combine the watershed with increasing floodings in order to produce size driven hierarchical segmentations.
Short Biography: Fernand Meyer got an engineer degree from the Mines-ParisTech in 1975. He works since 1975 at the Centre de Morphologie Mathematique (CMM) of Mines-ParisTech (member of PSL Research University). His first research area was ''Early and Automatic Detection of Cervical Cancer on Cytological Smears'', subject of his PhD thesis, obtained in 1979. He participated actively to the development of mathematical morphology: reconstruction openings, top-hat transform, the morphological segmentation paradigm based on the watershed transform and markers, the theory of digital skeleton, the introduction of hierarchical queues for high speed watershed computations, morphological interpolations, the theory of levelings, hierarchical segmentation. His current subject of interest is the extension of mathematical morphology to node and/or edge weighted graphs.