Total ordering based on space filling curves for multivalued morphology
Jocelyn Chanussot, Patrick Lambert · 1998
This paper addresses the problem of the extension of morphological operators to the case of multicomponent images. It basically comes to the definition of a well suited vectorial ordering relation. We briefly discuss the possible extensions found in the literature and propose an ordering scheme based on the bit mixing paradigm. This choice is justified using the space filling curve equivalent representation of some classical total ordering relations. Results concerning the extension of alternating sequential filters by reconstruction to the case of colour images are presented.