“Representing 3D mesh with attributed root trees” by Yang and Lin

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    Representing 3D mesh with attributed root trees

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Abstract:


    In content-based 3D mesh retrieval, graph-based structure is one of the most important shape descriptors. The early work on this issue can be found in [Hilaga et al. 2001], in which a 3D mesh representation, Multiresolutional Reeb Graphs (MRGs), was proposed. Since then, many Reeb-Graph based descriptors have been designed to simplify and represent 3D meshes. However, most of those descriptors are only suitable for graph-based topology matching, which is time-consuming and unreliable. To address this issue, we propose a novel approach to representing 3D mesh by using a tree-like structure, Attributed Root Trees (ARTs). The advantages of our method are three-fold: (1) Tree matching is easier and efficient than graph matching; (2) The representation well reserves topological information of a 3D mesh, thus topology matching can be easily completed; (3) It is possible to perform multi-resolution matching on ARTs.

References:


    1. Hilaga, M., Shinagawa, Y., Kohmura, T., and Kunii, T. L. 2001. Topology matching for fully automatic similarity estimation of 3d shapes. In Proceedings of ACM SIGGRAPH 2001.


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