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Feature-Preserved 3D Canonical Form

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Abstract

Measuring the dissimilarity between non-rigid objects is a challenging problem in 3D shape retrieval. One potential solution is to construct the models’ 3D canonical forms (i.e., isometry-invariant representations in 3D Euclidean space) on which any rigid shape matching algorithm can be applied. However, existing methods, which are typically based on embedding procedures, result in greatly distorted canonical forms, and thus could not provide satisfactory performance to distinguish non-rigid models.

In this paper, we present a feature-preserved canonical form for non-rigid 3D watertight meshes. The basic idea is to naturally deform original models against corresponding initial canonical forms calculated by Multidimensional Scaling (MDS). Specifically, objects are first segmented into near-rigid subparts, and then, through properly-designed rotations and translations, original subparts are transformed into poses that correspond well with their positions and directions on MDS canonical forms. Final results are obtained by solving nonlinear minimization problems for optimal alignments and smoothing boundaries between subparts. Experiments on two non-rigid 3D shape benchmarks not only clearly verify the advantages of our algorithm against existing approaches, but also demonstrate that, with the help of the proposed canonical form, we can obtain significantly better retrieval accuracy compared to the state of the art.

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Acknowledgements

This work has been supported by China Postdoctoral Science Foundation (Grant No.: 2012M510274), the SIMA program and the Shape Metrology IMS. We would like to thank the anonymous reviewers for their constructive comments, and Xu-Lei Wang for providing his results that have been compared in this paper.

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Authors and Affiliations

  1. Institute of Computer Science and Technology, Peking University, Beijing, P.R. China

    Zhouhui Lian & Jianguo Xiao

  2. National Institute of Standards and Technology, Gaithersburg, USA

    Afzal Godil

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  1. Zhouhui Lian
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  2. Afzal Godil
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  3. Jianguo Xiao
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Correspondence to Zhouhui Lian.

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Lian, Z., Godil, A. & Xiao, J. Feature-Preserved 3D Canonical Form. Int J Comput Vis 102, 221–238 (2013). https://doi.org/10.1007/s11263-012-0548-1

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