Morphological analysis of mosaic shapes with directed relationships based on attribute and relational model representations

We introduce attribute and relational representations of mosaic image models with directed relationships between regions. Attribute asymmetric based on stacking, ranking integral descriptions are considered. propose some morphological shape similarity measures models. show that using the same oriented model, various operators can be constructed, in particular, Serra- or Pyt’ev type. Some constructive methods for design such an domains proposed. From this consideration we also extract a new morophlogical scheme two-stage mutual adaptive image-and-shape joint filtering: at first step, is simplified (projected) regard to projected, second shape.