ABSTRACT
We provide an approach to compute origin-specific morphological dilation distances between planar sets to further determine the directional spatial relationship between sets. The origin chosen for a structuring element (B) that yields shorter dilation distance than that of the other possible origins of B determines the directional spatial relationship between Xi (origin set) and Xj (destination set). We demonstrate this approach on a cluster of spatial sets (states) decomposed from a spatial map depicting the country of India. This approach has potential to extend to any number (type) of sets on Euclidean space.
