Connected filters on generalized shape-Spaces

• Published in: Pattern recognition letters Vol. 128; pp. 348 - 354
• Main Authors: Huỳnh, Le Duy, Boutry, Nicolas, Géraud, Thierry
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01-12-2019; Elsevier Science Ltd
• Subjects: Alpha-tree; Connected operators; Filters; Hyper-connectivity; Image filters; Mathematical morphology; Operators (mathematics); Tree of shapes; Tree-based representations; Tree-based representations; Hyper-connectivity; Alpha-tree; Connected operators; Mathematical morphology; Tree of shapes
• ISSN: 0167-8655; 1872-7344
• DOI: 10.1016/j.patrec.2019.09.018

•We introduce an extension of the tree-based shape-space for segmentation purpose.•We introduce hierarchies to perceive a set of components as one object.•To extract objects, we consider many kinds of relationships between components.
Classical hierarchical image representations and connected filters work on sets of connected components (CC). These approaches can be defective to describe the relations between disjoint objects or partitions of images. In practice, objects can be made of several connected components in images (due to occlusions for example), therefore it can be interesting to be able to take into account the relationship between these components to be able to detect the whole object. In Mathematical Morphology, second-generation connectivity (SGC) and tree-based shape-spaces study this relation between the connected components of an image. However, they have limitations. For this reason, we propose in this paper an extension of the usual shape-space paradigm into what we call a Generalized Shape-Space (GSS). This new paradigm allows us to analyze any graph of connected components hierarchically and to filter them thanks to connected operators.