Volume 16, Issue 2 (9-2019)                   JSDP 2019, 16(2): 3-18 | Back to browse issues page


XML Persian Abstract Print


Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Behbahani F, Mehrdad V, Ebrahimnezhad H. 3D Models Recognition in Fourier Domain Using Compression of the Spherical Mesh up to the Models Surface. JSDP 2019; 16 (2) :3-18
URL: http://jsdp.rcisp.ac.ir/article-1-633-en.html
Lorestan University
Abstract:   (4156 Views)

Representing 3D models in diverse fields have automatically paved the way of storing, indexing, classifying, and retrieving 3D objects. Classification and retrieval of 3D models demand that the 3D models represent in a way to capture the local and global shape specifications of the object. This requires establishing a 3D descriptor or signature that summarizes the pivotal shape properties of the object. Therefore, in this work, a new shape descriptor has been proposed to recognize 3D model utilizing global characteristics. To perform feature extraction in the proposed method, the bounding meshed sphere surrounding the 3D model and concentrated from the outside toward the center of the model. Then, the length of the path which the sphere's vertices travel from the beginning to the model’s surface will be measured. These values are exploited to compute the path function. The engendered function is robust against isometric variations and it is appropriate for recognizing non-rigid models. In the following, the Fourier transform of the path function is calculated as the features vector, and then the extracted features vector is utilized in SVM classifier. By exploiting the properties of the magnitude response of the Fourier transform of the real signals, the model can be analyzed in the lower space without losing the inherent characteristics, and no more pose normalization is needed. The simulation results based on the SVM classifier on the McGill data set show the proposed method has the highest accuracy (i.e. 79.7%) among the compared related methods. Moreover, the confusion matrix for performing 70% trained SVM classifier indicates the suitable distinguishing ability for similar models and does not have a high computational complexity of model processing in 3D space.


Full-Text [PDF 3686 kb]   (2612 Downloads)    
Type of Study: Research | Subject: Paper
Received: 2017/01/15 | Accepted: 2019/04/20 | Published: 2019/09/17 | ePublished: 2019/09/17

References
1. [1] I. Atmosukarto, K. Wilamowska, C. Heike, and L. G. Shapiro, "3D object classification using salient point patterns with application to craniofacial research," Pattern Recognition, vol. 43, no. 4, pp. 1502-1517, 2010.‏ [DOI:10.1016/j.patcog.2009.11.004]
2. [2] Paquet and M. Rioux, "Nefertiti: a query by content system for three-dimensional model and image databases management," Image and Vision Computing, vol. 17, no. 2, pp. 157-166, 1999. [DOI:10.1016/S0262-8856(98)00119-X]
3. [3] M. Elad, A. Tal, and S. Ar, "Content based retrieval of VRML objects-an iterative and interactive approach," in Multimedia 2001: Springer, 2002, pp. 107-11. [DOI:10.1007/978-3-7091-6103-6_12]
4. [4] Osada, R., Funkhouser, T., Chazelle, B., & Dobkin, D. (2002). Shape distributions. ACM Transactions on Graphics (TOG), 21(4), 807-832.‏ [DOI:10.1145/571647.571648]
5. [5] R. Ohbuchi, T. Minamitani, and T. Takei, "Shape-similarity search of 3D models by using enhanced shape functions," in Proceedings of Theory and Practice of Computer Graphics, 2003., 2003: IEEE, pp. 97-104.
6. [6] M. Mahmoudi and G. Sapiro, "Three-dimensional point cloud recognition via distributions of geometric distances," Graphical Models, vol. 71, no. 1, pp. 22-31, 2009. [DOI:10.1016/j.gmod.2008.10.002]
7. [7] G. Passalis, I. A. Kakadiaris, and T. Theoharis, "Intraclass retrieval of nonrigid 3D objects: Application to face recognition," IEEE Transactions on Pattern Analysis & Machine Intelligence, no. 2, pp. 218-229, 2007. [DOI:10.1109/TPAMI.2007.37] [PMID]
8. [8] A. M. Bronstein and M. M. Bronstein, "Spatially-sensitive affine-invariant image descriptors," in European Conference on Computer Vision, 2010: Springer, pp. 197-208.‌ [DOI:10.1007/978-3-642-15552-9_15]
9. [9] J. Sun, M. Ovsjanikov, and L. Guibas, "A concise and provably informative multi‐scale signature based on heat diffusion," in Computer graphics forum, 2009, vol. 28, no. 5: Wiley Online Library, pp. 1383-1392. [DOI:10.1111/j.1467-8659.2009.01515.x]
10. [10] K. Gȩbal, J. A. Bærentzen, H. Aanæs, and R. Larsen, "Shape analysis using the auto diffusion function," in Computer Graphics Forum, 2009, vol. 28, no. 5: Wiley Online Library, pp. 1405-1413. [DOI:10.1111/j.1467-8659.2009.01517.x]
11. [11] Lee, C. H., Varshney, A., & Jacobs, D. W. (2005, July). Mesh saliency. In ACM transactions on graphics (TOG) (Vol. 24, No. 3, pp. 659-666). ACM.‏ [DOI:10.1145/1073204.1073244]
12. [12] X. Li and I. Guskov, "Multiscale Features for Approximate Alignment of Point-based Sur-faces," in Symposium on geometry process-ing, 2005, vol. 255: Citeseer, p. 217.
13. [13] X. Li and I. Guskov, "3D object recognition from range images using pyramid matching," in 2007 IEEE 11th international conference on computer vision, 2007: IEEE, pp. 1-6. [DOI:10.1109/ICCV.2007.4408829]
14. [14] J. J. Koenderink and A. J. van Doorn, "The internal representation of solid shape with respect to vision," Biological cybernetics, vol. 32, no. 4, pp. 211-216, 1979. [DOI:10.1007/BF00337644] [PMID]
15. [15] Fred, A., Caelli, T., Duin, R. P., Campilho, A., & de Ridder, D. (Eds.). (2004). Structural, Syntactic, and Statistical Pattern Recognition: Joint IAPR International Workshops, SSPR 2004 and SPR 2004, Lisbon, Portugal, August 18-20, 2004 Proceedings (Vol. 3138). Springer Science & Business Media.‏ [DOI:10.1007/b98738]
16. [16] J. Assfalg, A. Del Bimbo, and P. Pala, "Retrieval of 3d objects using curvature maps and weighted walkthroughs," in 12th International Conference on Image Analysis and Processing, 2003. Proceedings., 2003: IEEE, pp. 348-353.
17. [17] B. K. P. Horn, "Extended gaussian images," Proceedings of the IEEE, vol. 72, no. 12, pp. 1671-1686, 1984. [DOI:10.1109/PROC.1984.13073]
18. [18] D. Saupe and D. V. Vranić, "3D model retrieval with spherical harmonics and moments," in Joint Pattern Recognition Symposium, 2001: Springer, pp. 392-397. [DOI:10.1007/3-540-45404-7_52]
19. [19] R. M. Rustamov, "Laplace-Beltrami eigen-functions for deformation invariant shape representation," in Proceedings of the fifth Euro-graphics symposium on Geometry processing, 2007: Eurographics Association, pp. 225-233.
20. [20] M. Ovsjanikov, A. M. Bronstein, M. M. Bronstein, and L. J. Guibas, "Shape google: a computer vision approach to isometry invariant shape retrieval," in 2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops, 2009: IEEE, pp. 320-327. [DOI:10.1109/ICCVW.2009.5457682]
21. [21] A. M. Bronstein, M. M. Bronstein, L. J. Guibas, and M. Ovsjanikov, "Shape google: Geometric words and expressions for invariant shape retrieval," ACM Transactions on Graphics (TOG), vol. 30, no. 1, p. 1, 2011. [DOI:10.1145/1899404.1899405]
22. [22] Z. Wu et al., "3d shapenets: A deep representation for volumetric shapes," in Pro-ceedings of the IEEE conference on computer vision and pattern recognition, 2015, pp. 1912-1920.
23. [23] Y. Liu, H. Zha, and H. Qin, "Shape topics: A compact representation and new algorithms for 3d partial shape retrieval," in 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'06), 2006, vol. 2: IEEE, pp. 2025-2032.
24. [24] S. Jin, R. R. Lewis, and D. West, "A comparison of algorithms for vertex normal computa-tion," The visual computer, vol. 21, no. 1-2, pp. 71-82, 2005. [DOI:10.1007/s00371-004-0271-1]
25. [25] H. Tabia, H. Laga, D. Picard, and P.-H. Gosselin, "Covariance descriptors for 3D shape matching and retrieval," in Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2014, pp. 4185-4192. [DOI:10.1109/CVPR.2014.533]
26. [26] T. Zaharia and F. Preteux, "Indexation de maillages 3D par descripteurs de forme," in 13ème Congrès Francophone AFRIF-AFIA Reconnaissance des Formes et Intelligence Artificielle (RFIA'2002), 2002, pp. 48-57.
27. [27] K. Siddiqi, J. Zhang, D. Macrini, A. Shokoufandeh, S. Bouix, and S. Dickinson, "Retrieving articulated 3-D models using medial surfaces," Machine vision and applications, vol. 19, no. 4, pp. 261-275, 2008. [DOI:10.1007/s00138-007-0097-8]
28. [28] B. E. Boser, I. M. Guyon, and V. N. Vapnik, "A training algorithm for optimal margin classifiers," in Proceedings of the 5th Annual ACM Workshop on Computational Learning Theory, 2003, pp. 144-152.
29. [29] D. Y. Chen, X. P. Tian, Y. T. Shen, and M. Ouhyoung, "On visual similarity based 3D model retrieval," in Computer graphics forum, 2003, vol. 22, no. 3: Wiley Online Library, pp. 223-232. [DOI:10.1111/1467-8659.00669]
30. [30] M. Kazhdan, T. Funkhouser, and S. Rusinkiewicz, "Rotation invariant spherical harmonic representation of 3 d shape descriptors," in Symposium on geometry processing, 2003, vol. 6, pp. 156-164.
31. [31] J. Knopp, M. Prasad, G. Willems, R. Timofte, and L. Van Gool, "Hough transform and 3D SURF for robust three dimensional classifica-tion," in European Conference on Computer Vision, 2010: Springer, pp. 589-602.‏ [DOI:10.1007/978-3-642-15567-3_43]
32. [32] K. Lu, Q. Wang, J. Xue, and W. Pan, "3D model retrieval and classification by semi-supervised learning with content-based similar-ity," Infor-mation Sciences, vol. 281, pp. 703-713, 2014. [DOI:10.1016/j.ins.2014.03.079]

Add your comments about this article : Your username or Email:
CAPTCHA

Send email to the article author


Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

© 2015 All Rights Reserved | Signal and Data Processing