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Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 179))

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Abstract

Recent advances in modeling, digitization, and visualization of three-dimensional shapes have led to a surge in the number of available three-dimensional models. Therefore, the technology of three-dimensional retrieval becomes very necessary. This paper introduces a content-based 3D models retrieval method. We propose a unified framework to deal with the complex mesh structure of three-dimensional models, which has one-dimensional potentials describing local similarity and higher-order potentials describing spatial consistency. A three-dimensional surface extension is proposed, which describes the three-dimensional graph as a set of local rotation and scale invariant points. Effective indexing and approximate optimization techniques are also used to speed up MRF reasoning.

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References

  1. Funkhouser, T., Min, P., Kazhdan, M., Chen, J., Halderman, A., Dobkin, D., Jacobs, D.: A search engine for 3D models. ACM Trans. Graph. 22(1), 83–105 (2003)

    Article  Google Scholar 

  2. Yoon, S.M., Scherer, M., Schreck, T., Kuijper, A.: Sketch-based 3D model retrieval using diffusion tensor fields of suggestive contours. In: Proceedings of ACM Multimedia, pp. 193–200 (2010)

    Google Scholar 

  3. Shao. T., Xu, W., Yin, K.K., Wang, J., Zhou, K., Guo, B.: Discriminative sketch-based 3D model retrieval via robust shape matching. In: Computer Graphics Forum (PG), 2011–2020 (2011)

    Google Scholar 

  4. Zaharescu, A., Boyer, E., Varanasi, K., Horaud, R.: Surface feature detection and description with applications to mesh matching. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 373–380 (2009)

    Google Scholar 

  5. Sun, J., Ovsjanikov, M., Guibas, L.: A concise and provably informative multi-scale signature based on heat diffusion. Comput. Graph. Forum 28(5), 1383–1392 (2009)

    Article  Google Scholar 

  6. Bronstein, M., Kokkinos, I.: Scale-invariant heat kernel signatures for non-rigid shape recognition. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 1704–1711 (2010)

    Google Scholar 

  7. Kokkinos, I., Bronstein, M.M., Litman, R., Bronstein, A.M.: Intrinsic shape context descriptors for deformable shapes. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 159–166 (2012)

    Google Scholar 

  8. Rusu, R.B., Blodow, N., Beetz, M.: Fast point feature histograms (FPFH) for 3D registration. In: Proceedings of the International Conference on Robotics and Automation (ICRA), pp. 3212–3217. IEEE (2009)

    Google Scholar 

  9. Dutagaci, H., Godil, A., et al.: SHREC 09 track: querying with partial models. In: Proceedings of Eurographics 3DOR, pp. 69–76 (2009)

    Google Scholar 

  10. Tung, T., Matsuyama, T.: Topology dictionary for 3D video understanding. IEEE Trans. Pattern Anal. Mach. Intell. 34, 1645–1657 (2012)

    Article  Google Scholar 

  11. Huang, P., Hilton, A., Starck, J.: Shape similarity for 3D video sequences of people. Int. J. Comput. Vision 89(2–3), 362–381 (2010)

    Article  Google Scholar 

  12. Bronstein, M., Bronstein, M.M., Guibas, L.J., Ovsjanikov, M.: Shape Google: geometric words and expressions for invariant shape retrieval. ACM Trans. Graph. 30(1) (2011)

    Google Scholar 

  13. Pickup, D., Sun, X., et al.: SHREC 14 track: shape retrieval of nonrigid 3D human models. In: EG 3DOR (2014)

    Google Scholar 

  14. Wang, J., Kumar, S., Chang, S.F.: Semi-supervised hashing for large-scale search. IEEE Trans. Pattern Anal. Mach. Intell. 34(12), 2393–2406 (2012)

    Article  Google Scholar 

  15. Knopp, J., Prasad, M., Willems, G., Timofte, R., Gool, L.J.V.: Hough transform and 3D SURF for robust three dimensional classification. In: Proceedings of the ECCV (2010)

    Google Scholar 

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Correspondence to Junxiao Xue .

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Li, Q., Xue, J. (2020). Shape Retrieval for 3D Models Based on MRF. In: Kountchev, R., Patnaik, S., Shi, J., Favorskaya, M. (eds) Advances in 3D Image and Graphics Representation, Analysis, Computing and Information Technology. Smart Innovation, Systems and Technologies, vol 179. Springer, Singapore. https://doi.org/10.1007/978-981-15-3863-6_2

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