This paper presents a new approach to achieve elementary neihgborhood
operations on both 2D and 3D images by using the Extreme Vertices
model (EVM), a recent orthogonal polyhedra representation applied to
digital images. The operations developed here are erosion and dilation.
In contrast with previous techniques, these methods do not use a
voxel-based approach but deal with the inner sections of the object.
It allows to build an image size-independet algorithm. The proposed
method also admits the use of structuring elements of arbitrary size
and allows to treat 2D and 3D images in identical way using the same
algorithm.
