Summary: Structurally adaptive mathematical morphology on nonlinear
Jes´us Angulo, Santiago Velasco-Forero
CMM - Centre de Morphologie Math´ematique,
Math´ematiques et Syst`emes, MINES ParisTech;
33`eme journ´ee ISS France - 4 f´evrier 2010
Standard formulation of morphological operators is translation invariant in the space and in
the intensity: the same processing is considered for each point of the image.
A current challenging topic in mathematical morphology is the construction of adaptive
operators. In previous works, the adaptive operators are based either on spatially variable
neighbourhoods according to the local regularity, or on size variable neighbourhoods according
to the local intensity.
This paper introduces a new framework: the structurally adaptive mathematical morphology.
More precisely, the rationale behind the present approach is to work on a nonlinear multi-scale
image decomposition, and then to adapt intrinsically the size of the operator to the local scale
of the structures.
The properties of the derived operators are investigated and their practical performances are