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Morphology-Based 3D Volume Metamorphosis

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Computational Science and Its Applications — ICCSA 2003 (ICCSA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2669))

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Abstract

In this paper, we present a morphology-based scheme to perform 3D volume morphing. Our proposed scheme is a non-feature-based metamorphosis technique. This method avoids tedious feature specifications to control shape transitions. However, the proposed scheme yields a satisfactory morphing sequence for several examples evaluated in this paper. The proposed method consists of three steps: (1) create a morphological difference object volume (MDOV), (2) and perform both dilation-based distance transform, and (3) erosion-based interpolation on MDOV to accomplish volume morphing. Furthermore, with combination of a well-known principal axes registration (PAR) technique, the proposed method can smoothly morph two objects with di.erent orientations. Finally, we present some interesting preliminary experimental results to evaluate the proposed method.

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References

  1. Lazarus, F., and Verroust, A. “Three-dimensional Morphing: a survey”, The Visual Computer, Vol. 14, 1998, pp. 373–389.

    Article  Google Scholar 

  2. Levin, David, “Multidimensional Reconstruction by Set-valued Approximation”, IMA J. Numerical Analysis, Vol. 6, 1986, pp. 173–184.

    Article  MATH  Google Scholar 

  3. Rossignac, Jarek and Anil Kaul, “AGERLs and BiPs: Morphing as a Bezier Curve in the Space of Polyhedra”, in Proceedings of Eurographics’94, Sept. 12–16, 1994, pp. 179–184.

    Google Scholar 

  4. Sai Prasad Raya, Jayaram K. Udupa, “Shape-based Interpolation of Multidimensional Objects”, IEEE Trans. on Medical Imaging, Vol.9,No. 1, 1990, pp.32–42.

    Article  Google Scholar 

  5. Gabor T. Herman, Jingsheng Zheng, Carolyn A. Bucholtz, “Shaped-based Interpolation”, IEEE Computer Graphics & Applications, May 1992, pp. 69–79.

    Google Scholar 

  6. Tong-Yee Lee, Wen-Hsiu Wang, “Morphology-based Three-dimensional Interpolation”, IEEE Transactions on Medical Imaging, July 2000, Vol.19, pp. 711–721.

    Article  Google Scholar 

  7. Payne, Bradley A. and Arthur W. Toga, “Distance Field Manipulation of Surface Models”, IEEE Computer Graphics & Applications, Vol. 12,No. 1, 1992, pp. 65–71.

    Article  MATH  Google Scholar 

  8. Cohen-Or, Daniel, David Levin and Amira Solomovici, “Three-dimensional Distance Field Morphing”, ACM Transactions on Graphics, Vol. 17,No. 2, 1997.

    Google Scholar 

  9. A. Lerios, C. Garfinkle and M. Levoy, “Feature-based Volume Metamorphosis”, in Proceedings of ACM SIGGRAPH’95, 1995, pp. 449–456.

    Google Scholar 

  10. Tong-Yee Lee, Y-C. Lin, Leeween Lin, Y.N. Sun, “Fast Feature-Based Metamorphosis and Operator Design”, Eurographics’98, International Journal of the Eurographics Association, Computer Graphics Forum, Vol.17,No. 3, 1998, pp. C-15-30.

    Google Scholar 

  11. Rafael C. Gonzalez and Richard E. Woods, Digital Image Processing, Addison-Wesley Publishing Company, Inc., 1992.

    Google Scholar 

  12. Louis K. Arata, Atam P. Dhawan, Joseph P. Broderick, Mary F. Gaskil-Shipley, Alejandro V. Levy, and Nora D. Volkow, “Three-dimensional Anatomical Model-based Segmentation of MR Brain Images Through Principal Axes Registration”, IEEE Transactions on Biomedical Engineering, Vol.42,No. 11, 1995, pp. 1069–1078.

    Article  Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Lee, TY., Lin, CH., Wang, WH. (2003). Morphology-Based 3D Volume Metamorphosis. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2669. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44842-X_53

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  • DOI: https://doi.org/10.1007/3-540-44842-X_53

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40156-8

  • Online ISBN: 978-3-540-44842-6

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