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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 249847, 8 pages
http://dx.doi.org/10.1155/2013/249847
Research Article

Differential and Statistical Approach to Partial Model Matching

School of Information Science and Engineering, Central South University, Changsha 410083, China

Received 2 December 2012; Accepted 23 December 2012

Academic Editor: Sheng-Yong Chen

Copyright © 2013 Kehua Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. L. Ritter, S. D. Reiz, D. Rothamel et al., “Registration accuracy of three-dimensional surface and cone beam computed tomography data for virtual implant planning,” Clinical Oral Implants Research, vol. 23, no. 4, pp. 447–452, 2012. View at Publisher · View at Google Scholar · View at Scopus
  2. S. Y. Chen, H. Tong, and C. Cattani, “Markov models for image labeling,” Mathematical Problems in Engineering, vol. 2012, Article ID 814356, 18 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  3. S. Chen, Z. Wang, H. Tong, et al., “Optimal feature matching for 3D reconstruction by combination of global and local information,” Intelligent Automation and Soft Computing, vol. 17, no. 7, pp. 957–968, 2011.
  4. K. Bunte, M. Biehl, M. F. Jonkman, and N. Petkov, “Learning effective color features for content based image retrieval in dermatology,” Pattern Recognition, vol. 44, no. 9, pp. 1892–1902, 2011. View at Publisher · View at Google Scholar · View at Scopus
  5. S. M. Tarte, H. Talib, M. A. G. Ballester, and F. Langlotz, “Evaluating partial surface matching for fracture reduction assessment,” in Proceedings of the IEEE 3rd International Symposium on Biomedical Imaging: Nano to Macro, vol. 4, pp. 514–517, Arlington, Va, USA, April 2006. View at Scopus
  6. Y. Shibberu and A. Holder, “A spectral approach to protein structure alignment,” ACM Transactions on Computational Biology and Bioinformatics, vol. 8, no. 4, pp. 867–875, 2011. View at Publisher · View at Google Scholar · View at Scopus
  7. G. Barequet and M. Sharir, “Partial surface and volume matching in three dimensions,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 19, no. 9, pp. 929–948, 1997. View at Publisher · View at Google Scholar · View at Scopus
  8. G. Barequet and M. Sharir, “Partial surface matching by using directed footprints,” Computational Geometry, vol. 12, no. 1-2, pp. 45–62, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  9. H. Alt, P. Bras, M. Godau, C. Knauer, and C. Wenk, “Computing the Hausdorff distance of geometric patterns and shapes,” Discrete and Computational Geometry, Special Issue—The Goodman-Pollack-Festschrift, vol. 25, pp. 65–76, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  10. N. J. Mitra, L. J. Guibas, and M. Pauly, “Partial and approximate symmetry detection for 3D geometry,” ACM Transactions on Graphics, vol. 25, no. 3, pp. 560–568, 2006. View at Publisher · View at Google Scholar
  11. R. Gal and D. Cohen-Or, “Salient geometric features for partial shape matching and similarity,” ACM Transactions on Graphics, vol. 25, no. 1, pp. 130–150, 2006. View at Publisher · View at Google Scholar
  12. S. Wang, Y. Wang, M. Jin, X. D. Gu, and D. Samaras, “Conformal geometry and its applications on 3D shape matching, recognition, and stitching,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 29, no. 7, pp. 1209–1220, 2007. View at Publisher · View at Google Scholar · View at Scopus
  13. J. Tierny, J. P. Vandeborre, and M. Daoudi, “Partial 3D shape retrieval by Reeb pattern unfolding,” Computer Graphics Forum, vol. 28, no. 1, pp. 41–55, 2009. View at Publisher · View at Google Scholar · View at Scopus
  14. U. Castellani, M. Cristani, S. Fantoni, and V. Murino, “Sparse points matching by combining 3D mesh saliency with statistical descriptors,” Computer Graphics Forum, vol. 27, no. 2, pp. 643–652, 2008. View at Publisher · View at Google Scholar · View at Scopus
  15. A. Itskovich and A. Tal, “Surface partial matching and application to archaeology,” Computers and Graphics, vol. 35, no. 2, pp. 334–341, 2011. View at Publisher · View at Google Scholar · View at Scopus
  16. H. Tabia, M. Daoudi, J. P. Vandeborre, and O. Colot, “A new 3D-matching method of nonrigid and partially similar models using curve analysis,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 33, no. 4, pp. 852–858, 2011. View at Publisher · View at Google Scholar · View at Scopus
  17. S. Y. Chen, H. Tong, Z. Wang, S. Liu, M. Li, and B. Zhang, “Improved generalized belief propagation for vision processing,” Mathematical Problems in Engineering, vol. 2011, Article ID 416963, 12 pages, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  18. S. Chen, Y. Wang, and C. Cattani, “Key issues in modeling of complex 3D structures from video sequences,” Mathematical Problems in Engineering, vol. 2012, Article ID 856523, 17 pages, 2012. View at Publisher · View at Google Scholar
  19. K. Guo, “A novel matching algorithm to 3D incomplete object,” Journal of Computational Information Systems, vol. 7, no. 1, pp. 73–79, 2011. View at Scopus
  20. K. H. Guo and G. H. Duan, “3D partial surface matching using differential geometry and statistical approaches,” Lecture Notes in Computer Science, vol. 7751, 2012.
  21. A. S. Mian, M. Bennamoun, and R. Owens, “Three-dimensional model-based object recognition and segmentation in cluttered scenes,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 28, no. 10, pp. 1584–1601, 2006. View at Publisher · View at Google Scholar · View at Scopus