We present an application of Mathematical Morphology (MM) for the classification of astronomical objects, both for star/galaxy differentiation and galaxy morphology classification. We demonstrate that, for CCD images, 99.3 ± 3.8% of galaxies can be separated from stars using MM, with 19.4 ± 7.9% of the stars being misclassified. We demonstrate that, for photographic plate images, the number of ...

This paper presents a proposal for the normalization of word-forms in historical texts. To perform this task, we extend our previous research on induction of phonology and adapt it to the task of normalization. In particular, we combine our earlier models with models for learning morphology (without additional supervision). The results are mixed: induction of the segmentation of morphemes fails...

The spatial relationship “between” is a notion which is intrinsically both fuzzy and contextual, and depends in particular on the shape of the objects. The few existing definitions do not take into account these aspects. We propose here definitions which are based on morphological operators and a fuzzy notion of visibility, which correspond to the main intuitive acceptions of the relation. We d...

This paper discusses the use of recursive neighbourhoods in mathematical morphology. Its two notable applications are the recursive erosion/dilation, as well as the detection of foreground–background changes to be used in skeletonization. The benefit of the latter over the use of sub-cycles or an extension of the neighbourhood is emphasized. Two applications are presented that use the recursive...

Rough sets have been applied in spatial information theory to construct theories of granularity – presenting information at different levels of detail. Mathematical morphology can also be seen as a framework for granularity, and the question of how rough sets relate to mathematical morphology has been raised by Bloch. This paper shows how by developing mathematical morphology in terms of relati...

-Fuzzy set theory has found a promising field of application in the domain of digital image processing, since fuzziness is an intrinsic property of images. For dealing with spatial information in this framework from the signal level to the highest decision level, several attempts have been made to define mathematical morphology on fuzzy sets. The purpose of this paper is to present and discuss ...