ABSTRACT
In quantitative spatial reasoning, spatial relationships such as adjacency, betweenness, directional, distances, shape-size, and centrality are important aspects. Many studies available have dealt with such spatial relationships through qualitative reasoning. However, mathematical morphological transformations offer several insights to provide quantitative approaches in handling the spatial reasoning tasks. Chapters 10 through 13 provide details on how mathematical morphology could be employed in addressing the following aspects of relevance to spatial reasoning studies: (1) directional spatial relationship, (2) between space, (3) adjacency and touch relationship, (4) distance-based relationships, (5) relationships based on shape-size complexity measures, and (6) centrality relationship.
