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Reeb graph path dissimilarity for 3D object matching and retrieval

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Abstract

We introduce a skeletal graph for topological 3D shape representation using Morse theory. The proposed skeletonization algorithm encodes a 3D shape into a topological Reeb graph using a normalized mixture distance function. We also propose a novel graph matching algorithm by comparing the relative shortest paths between the skeleton endpoints. Experimental results demonstrate the feasibility of the proposed topological Reeb graph as a shape signature for 3D object matching and retrieval.

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Authors and Affiliations

  1. Concordia Institute for Information Systems Engineering, Concordia University, Montréal, QC, Canada

    Waleed Mohamed & A. Ben Hamza

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  1. Waleed Mohamed
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  2. A. Ben Hamza
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Correspondence to A. Ben Hamza.

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Mohamed, W., Ben Hamza, A. Reeb graph path dissimilarity for 3D object matching and retrieval. Vis Comput 28, 305–318 (2012). https://doi.org/10.1007/s00371-011-0640-5

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