Lattice-Algebraic Morphology
Abstract
The relations between two abstract lattice-algebraical approaches to mathematical morphology are investigated. One approach, developed by Heijmans and Ronse, entails the use of an abelian automorphism group, G, acting transitively on a sup-generating subset of the lattice, in order to abstract the translation invariance present in concrete morphology theories. The other, developed by Banon and Barrera, analyzes general mappings between complete lattices and develops morphological decomposition formulas for such mappings. By determining the G-invariant forms of the concepts and theorems of the Banon-Barrera theory, the present investigation combines the two theories into a coherent whole and develops them further.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1998
- Accession Number
- ADA353568
Entities
People
- Dennis W. Mcguire
Organizations
- United States Army Research Laboratory