Scale Space Operators on Hierarchies of Segmentations

Bangalore Ravi Kiran (1) , Jean Serra (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

A hierarchy of segmentations(partitions) is a multiscale set representation of the image. This paper introduces a new set of scale space operators or transformations on the space of hierarchies of partitions. An ordering of hierarchies is proposed which is endowed by an !-ordering based on a global energy over the classes of the hierarchy. A class of Matheron semigroups are shown to exists in this ordering of hierarchies. A second contribution is the saliency transformation which fuses a saliency function corresponding to a hierarchy, with an external function, rendering a new or transformed saliency function. The results are demonstrated on the Berkeley dataset.

Mots clés: Saliency; Scale space; Energy ordering; Hierarchical segmentation

Domaines: Vision par ordinateur et reconnaissance de formes [cs.CV]

Bangalore Ravi Kiran, Jean Serra. Scale Space Operators on Hierarchies of Segmentations. 4th International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2013), Jun 2013, Leibnitz, Austria. pp.331-342, ⟨10.1007/978-3-642-38267-3_28⟩. ⟨hal-00802447⟩