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A Metric Learning Method for Image-based 3D Shape Retrieval

Published: 25 May 2017 Publication History

Abstract

With the advent of new technology in 3D reconstruction and capturing, the number of 3D shapes is growing rapidly. We already have enormous images, thus it is very meaningful to retrieve 3D shapes using images as the queries. This problem can be solved by the following metric learning framework. First, we render each 3D shape to a view-images set by a predefined camera setup, and construct the view-images set as a covariance matrix. It is a point lying on a Riemannian manifold. Second, we construct each query image as a Euclidean point, and design a framework to map the (symmetric positive definite matrices) SPDs and Euclidean points to the same high-dimensional Hilbert space, in which distance computation is fast and convenient. At last, we transform this problem to an optimization problem and solve it by an iterative algorithm. The final experiments proves the effectiveness of our method.

References

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Bai, S., Bai, X., Zhou, Z., Zhang, Z., and Jan Latecki, L., 2016. Gift: A real-time and scalable 3d shape search engine. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 5023--5032.
[2]
Su, H., Maji, S., Kalogerakis, E., and Learned-Miller, E., 2015. Multi-view convolutional neural networks for 3d shape recognition. In Proceedings of the IEEE International Conference on Computer Vision, 945--953.
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Bai, X., Bai, S., Zhu, Z., and Latecki, L.J., 2015. 3d shape matching via two layer coding. IEEE Transactions on Pattern Analysis and Machine Intelligence 37, 12, 2361--2373.
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Tabia, H., Laga, H., Picard, D., and Gosselin, P.-H., 2014. Covariance descriptors for 3D shape matching and retrieval. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 4185--4192.
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Huang, Z., Wang, R., Shan, S., and Chen, X., 2014. Learning euclidean-to-riemannian metric for point-to-set classification. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 1677--1684.
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Wu, Z., Song, S., Khosla, A., Yu, F., Zhang, L., Tang, X., and Xiao, J., 2015. 3d shapenets: A deep representation for volumetric shapes. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 1912--1920.
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Chatfield, K., Simonyan, K., Vedaldi, A., and Zisserman, A., 2014. Return of the devil in the details: Delving deep into convolutional nets. arXiv preprint arXiv:1405.3531.
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Kazhdan, M., Funkhouser, T., and Rusinkiewicz, S., 2003. Rotation invariant spherical harmonic representation of 3 d shape descriptors. In Symposium on geometry processing, 156--164.
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Bai, S., Bai, X., Zhou, Z., Zhang, Z., and Latecki, L.J., 2016. Gift: A real-time and scalable 3d shape search engine. arXiv preprint arXiv:1604.01879.

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  1. A Metric Learning Method for Image-based 3D Shape Retrieval

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    DMCIT '17: Proceedings of the 2017 International Conference on Data Mining, Communications and Information Technology
    May 2017
    196 pages
    ISBN:9781450352185
    DOI:10.1145/3089871
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    • The Hong Kong Polytechnic: The Hong Kong Polytechnic University
    • HKBU: Hong Kong Baptist University

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 25 May 2017

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    Author Tags

    1. Euclidean space
    2. Hilbert space
    3. Riemannian manifold
    4. metric learning
    5. shape retrieval

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