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A Similarity Computing Algorithm for Volumetric Data Sets

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3614))

Abstract

Recently, there are remarkable progress in similarity computing for 3D geometric models. Few focus is put on the research of the similarity between volumetric models. This paper proposes a novel approach for performing similarity computation between two volumetric data sets. For each data set, it is performed by four stages. First, the volume data set is resampled into a unified resolution. Second, the data set is band-pass filtered and quantized to reveal its physical attributes. The resulting voxels are then normalized into a canonical coordinate system concerning the center of mass and scale. Subsequently, a series of uniformly spaced concentric shells around the center of mass are constructed, based on which spherical harmonics analysis (SHA) is applied. The coefficients of SHA constitute a rotation invariant spectrum descriptor which are used to measure the similarity between two data sets. The algorithm has been performed on a set of clinical CT and MRI data sets and the preliminary results are fairly inspiring.

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References

  1. Liu, Y., Dellaert, F.: Classification driven medical image retrieval. In: Proceedings of the Image Understanding Workshop (1998)

    Google Scholar 

  2. Elvins, T., Jain, R.: Web based volumetric data retrieval. In: Symposium on Virtual Reality Modeling Language, San Diego, CA, USA, pp. 7–12 (1995)

    Google Scholar 

  3. Hubbell, J., Seltzer, S.: Tables of x-ray mass attenuation coefficients and mass energyabsorption coefficients (version 1.03) (1995), http://physics.nist.gov/xaamdi

  4. Suzuki, M.T., Kato, T., Otsu, N.: A similarity retrieval of 3d polygonal models using rotation invariant shape descriptors. In: Proceedings of IEEE International Conference On System, Man, and Cybernetics, Nashville, USA, pp. 2946–2952.

    Google Scholar 

  5. Ankerst, M., Kastenmueller, G., Kriegel, H.P., Seidl, T.: 3d shape histograms for similarity search and classification in spatial databases. In: Proceedings of 6th International Symposium on Large Spatial Databases, Hongkong, China, pp. 207–228 (1999)

    Google Scholar 

  6. Elad, M., Tal, A., Ar, S.: Content based retrieval of vrml objects - an iterative and interactive approach. In: Proceedings of the Sixth Eurographics Workshop in Multimedia, Madison, Wisconsin, USA, pp. 97–108.

    Google Scholar 

  7. Osada, R., Funkhouser, T., Dobkin, D.: Shape distributions. ACM Transactions on Graphics 21, 93–101 (2002)

    Article  Google Scholar 

  8. Liu, X., Sun, R., Kang, S.B., Shum, H.Y.: Directional histogram model for three dimensional shape similarity. In: Proceedings of IEEE Computer Vision and Pattern Recogintion 2003, Madison, Wisconsin, USA, pp. 813–820 (2003)

    Google Scholar 

  9. Ohbuchi, R., Otagiri, T., Ibato, M., Takei, T.: Shape similarity search of three-dimensional models using parameterized statistics. In: Proceedings of Pacific Graphics 2002, Beijing, China, pp. 265–274 (2002)

    Google Scholar 

  10. Vranic, D.V., Saupe, D.: 3d model retrieval. In: Proceedings of the Spring Conference on Computer Graphics and its Applications, Budmerice, Slovakia, pp. 89–93.

    Google Scholar 

  11. Yu, M., Atmosukarto, I., Leow, W.K., Huang, Z., Xu, R.: 3d model retrieval with morphing based geometric and topological feature maps. In: Proceedings of IEEE Computer Vision and Pattern Recognition (CVPR), Madison, Wisconsin, USA, pp. 656–661

    Google Scholar 

  12. Zaharia, T., Preteux, F.: Three-dimensional shape based retrieval within the mpeg-7 framework. In: Proceedings of SPIE Conference 4304 on Nonlinear Image Processing and Pattern Analysis XII, San Jose, CA, USA, pp. 133–145.

    Google Scholar 

  13. Hilaga, M., Shinagawa, Y., Kohmura, T., Kunii, T.: Topology matching for fully automatic similarity estimation of 3d shapes. In: Proceedings of ACM SIGGRAPH 2001, Los Angeles, CA, USA, pp. 203–212 (2001)

    Google Scholar 

  14. Shum, H., Hebert, M., Ikeuchi, K.: On 3d shape similarity. In: Proceedings of IEEE Computer Vision and Pattern Recognition (CVPR), San Francisco, CA, USA, pp. 526–531.

    Google Scholar 

  15. Vranic, D.V., Saupe, D.: 3d shape descriptor based on 3d fourier transform. In: Proceedings of the EURASIP Conference on Digital Signal Processing for Multimedia Communications and Services, Budapest, Hungary, pp. 271–274.

    Google Scholar 

  16. Gain, J., Scott, J.: Fast polygon mesh query by example. In: Proceedings of SIGGRAPH Technical Sketches, p. 241 (1999)

    Google Scholar 

  17. Paquet, E., Rioux, M.: A content-based search engine for vrml databases. In: Proceedings of IEEE Computer Vision and Pattern Recognition (CVPR), S. Barbara, CA, USA, pp. 541–546.

    Google Scholar 

  18. Funkhouser, T., Min, P., Kazhdan, M., Chen, J., Halderman, A., Dobkin, D., Jacobs, D.: A search engine for 3d models. ACM Transactions on Graphics 22, 83–105 (2003)

    Article  Google Scholar 

  19. Zaharia, T., Preteux, F.: Hough transform-based 3d mesh retrieval. In: Proceedings of SPIE Conference 4476 on Vision Geometry X, San Diego, CA, USA, pp. 175–185.

    Google Scholar 

  20. Novotni, M., Klein, R.: 3d zernike descriptors for content based shape retrieval. In: Proceedings of the 8th ACM Symposium on Solid Modeling and Applications, Seattle, WA, USA, pp. 216–225.

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Zhang, T., Chen, W., Hu, M., Peng, Q. (2005). A Similarity Computing Algorithm for Volumetric Data Sets. In: Wang, L., Jin, Y. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2005. Lecture Notes in Computer Science(), vol 3614. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11540007_92

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  • DOI: https://doi.org/10.1007/11540007_92

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28331-7

  • Online ISBN: 978-3-540-31828-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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