Generalized projective morphology

The description of proposed generalized projective morphology is given. Algebraic basis of projective morphology is considered. Formal and criteria-based schemes for morphology design are described. Some sufficient conditions of projectiveness for criteria-based morphological operators are proved. Projectors are proposed and explored based on: minimal distance (maximal similarity) criterion, maximal norm of projection, predicate-type criterions, feature vectors, parametric models and dynamic programming procedures. The class of criteria-based morphologies based on structural interpolation operators is proposed.