Theoretical Frameworks and Extensions

Lattice Theory in Morphology

Supremum and Infimum Operations

Morphological Operators as Lattice Mappings

Adjunction Properties

Morphological Operators

Composition and Decomposition

Operator Properties

Morphological Filters

Graph Representation of Images

Morphological Operations on Graphs

Connectivity Considerations

Applications to Irregular Structures

Fuzzy Set Theory Foundation

Fuzzy Membership Functions

Fuzzy Dilation and Erosion

T-Norms and T-Conorms

Applications in Uncertain Data