Extended Morphological Closing Using Geodesic Filtering

This paper introduces an extended morphological closing operator so that global structure of objects is considered. Our method computes the original closing for local regions of the object, and composes the closing results. Main idea is to define the local region by geodesic distance from the target points. This enables us to preserve global structure of the input objects while filling local holes. In addition, various level of structure can be extracted by threshold control. Moreover, opening operator can also be defined by the proposed method.