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Efficient Retrieval of 3D Models Based on Integer Medial Axis Skeleton

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Advances in Artificial Reality and Tele-Existence (ICAT 2006)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4282))

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Abstract

In this paper, we describe a novel algorithm for searching and comparing 3D models, called the Integer Medial Axis Skeleton (IMAS), in which the geometric and topological information is encoded in the form of an IMAS and uses skeletal binary tree matching techniques to match the skeletons and to compare them. The skeletal binary tree is constructed based on the IMAS that was constructed using a modification of an IMA transforms algorithm. The similarity calculation between 3D models is processed using a coarse-to-fine strategy. A feature of skeletal binary tree matching is the ability to perform part-matching and provide a fast estimation of similarity between models. The performance of the proposed algorithm is compared to some previous approaches by means of precision/recall tests. Generally, results show that the new algorithm introduces improvements in the 3D-model retrieval process.

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References

  1. Tangelder, J.W.H., Veltkamp, R.C.: A survey of content based 3D shape retrieval methods. In: International Conference on Shape Modeling and Applications 2004, Genova, Italy, vol. 12(7), pp. 145–156 (2004)

    Google Scholar 

  2. Hessellink, W.H., Visser, M., Roerdink, J.B.T.M.: Euclidean skeletons of 3D data sets in linear time by the integer medial axis transform. In: ISMM 2005, Paris, France, pp. 259–268 (2005)

    Google Scholar 

  3. Novotni, M., Klein, R.: A Geometric Approach to 3D Object Comparison. In: Int. Conf. on Shape Modeling and Application (SMI 2001), pp. 167–175 (2001)

    Google Scholar 

  4. Osada, R., Funkhouser, T., Chazelle, B., Dobkin, D.: Matching 3D Models with Shape Distributions. In: Shape Modeling International, Genova, Italy, May 2001, pp. 154–166 (2001)

    Google Scholar 

  5. Besl, P.J.: Triangles as a Primary Representation Object Recognition in computer Vision. In: Hebert, M., Boult, T., Gross, A., Ponce, J. (eds.) NSF-WS 1994 and ARPA-WS 1994. LNCS, vol. 994, pp. 191–206. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  6. Hilaga, M., Shinagawa, Y., Kohmura, T., Kunii, T.: Topology Matching for Fully Automatic Similarity Estimation of 3D Shapes. In: ACMSIGGRAPH 2001 Proceedings, August 2001, pp. 203–212 (2001)

    Google Scholar 

  7. Tung, T., Schmitt, F.: Augmented Reeb Graphs for Content-Based Retrieval of 3D Mesh Models. In: International Conference on Shape Modeling and Applications 2004, Genova, Italy, pp. 157–166 (2004)

    Google Scholar 

  8. Bespalov, D., Shokoufangeh, A., Regli, W.C., Sun, W.: Scale-space representation of 3D models and topological matching. In: Solid Modeling 2003, pp. 208–215 (2003)

    Google Scholar 

  9. Chuang, J.-H., Tsai, C.-H., Ko, M.–C.: Skeletonization of Three-Dimensional Object Using Generalized Potential Field. IEEE Trans. PAMI 22, 1241–1251 (2000)

    Article  Google Scholar 

  10. Culver, T., Keyser, J., Manocha, D.: Accurate Computation of the Medial Axis of a Polyhedron. In: Proc. Symp. Solid Modeling, pp. 179–190 (1999)

    Google Scholar 

  11. Zhou, Y., Kaufman, A., Toga, A.W.: Three-dimensional skeleton and centerline generation based on an approximate minimum distance field. The Visual Computer 14(7), 303–314 (1998)

    Article  Google Scholar 

  12. Sherbrooke, E.C., Patrikalakis, N.M., Brisson, E.: An Algorithm for the Medial Axis Transform of 3D Polyhedral Solids. IEEE Trans. Visualization and Computer Graphics 2(1), 44–61 (1996)

    Article  Google Scholar 

  13. Siddiqi, K., Shokoufandeh, A., Dickinson, S.J., et al.: Shock graphs and shape matching. Int’l. J. Computer Vision, 222–229 (1998)

    Google Scholar 

  14. Blum, H.: A Transformation for Extracting New Descriptors of Shape. In: Proc. Symp. Models for the Perception of Speech and Visual Form, pp. 362–380. MIT Press, Cambridge (1967)

    Google Scholar 

  15. Vranic, D.V., Saupe, D., Richter, J.: Tools for 3D-object retrieval: Kahrune-Loeve Transform and spherical harmonics. In: IEEE Workshop Multimedia Signal Processing, Cannes, France, October 2001, pp. 293–298 (2001)

    Google Scholar 

  16. Ma, W.-C., Wu, F.-C., Ouhyoung, M.: Skeleton Extraction of 3D Objects with Radial Basis Functions. In: Proceedings of the Shape Modeling International (SMI 2003), pp. 295–302 (2003)

    Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Tang, Y., Zhang, X. (2006). Efficient Retrieval of 3D Models Based on Integer Medial Axis Skeleton. In: Pan, Z., Cheok, A., Haller, M., Lau, R.W.H., Saito, H., Liang, R. (eds) Advances in Artificial Reality and Tele-Existence. ICAT 2006. Lecture Notes in Computer Science, vol 4282. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11941354_86

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  • DOI: https://doi.org/10.1007/11941354_86

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-49776-9

  • Online ISBN: 978-3-540-49779-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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