Romain Perrin

New algorithms for multivalued component trees

By Nicolas Passat, Romain Perrin, Jimmy Francky Randrianasoa, Camille Kurtz, Benoît Naegel

2024-09-30

In Proceedings of the 27th international conference on pattern recognition

Abstract

Tree-based structures can model images—and more generally valued graphs—for processing and analysis purpose. In this framework, the component tree was natively designed for grey-level images—and more generally totally or- dered valued graphs. Ten years ago, the notion of a multivalued component tree was introduced to relax this grey-level / total order constraint. In this algorith- mic paper, we provide new tools to handle multivalued component trees. Our contributions are twofold: (1) we propose a new algorithm for the construction of the multivalued component tree; (2) we propose two strategies for building hierarchical orders on value sets, required to further build the multivalued com- ponent trees of images / graphs relying on such value sets. Codes available at: https://github.com/bnaegel/multivalued_component_tree.

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New algorithms for multivalued component trees

Abstract

The component tree (CT)can model grey-level images for various image processing / analysis purposes (filtering, segmentation, registration, retrieval…). Its generalized version, the multivalued component tree (MCT) can model images with hierarchically organized values. We provide new tools to handle MCTs:a new algorithm for the construction of MCTs;two strategies for building hierarchical orders on values, required to further build MCTs.

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