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R-D optimized compression of 3-D mesh sequences based on principal component analysis

Published:10 March 2006Publication History

ABSTRACT

We propose an effective compression algorithm for three-dimensional (3-D) mesh sequences, based on principal components analysis (PCA). PCA achieves a coding gain by representing a mesh sequence with a small number of singular vectors. We develop a rate model and a distortion model for the singular vectors and propose an adaptive bit allocation scheme to maximize the coding performance. Specifically, we determine the quantizer step size for each singular vector to minimize the distortion, subject to the constraint on the overall bit rate. Simulation results demonstrate that the proposed algorithm provides much better rate-distortion (RD) performance than the conventional PCA coders.

References

  1. J. Lengyel, "Compression of time-dependent geometry," in Proc. ACM Symp. Interactive 3D Graphics, July 1999, pp. 89--96. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. J.-H. Yang, C.-S. Kim, and S.-U. Lee, "Compression of 3D triangle mesh sequences based on vertex-wise motion vector prediction," IEEE Trans. Circuits Syst. Video Technol., vol. 12, no. 12, pp. 1178--1184, Dec. 2002. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. L. Ibarria and J. Rossignac, "Dynapack: Space-time compression of the 3D animations of triangle meshes with fixed connectivity," in Proc. Eurographics/SIGGRAPH Symp. Computer Animation, July 2003, pp. 126--135. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. E. S. Jang, D. K. Kim, S. Y. Jung, M. J. Han, S. O. Woo, and S. J. Lee, "Interpolator data compression for MPEG4 animation," IEEE Trans. Circuits Syst. Video Technol., vol. 14, no. 7, pp. 989--1008, July 2004. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. M. Alexa and W. Müller, "Representing animations by principal components," EUROGRAPHICS 2000, vol. 19, no. 3, pp. 291--301, June 2000.Google ScholarGoogle Scholar
  6. Z. Karni and C. Gotsman, "Compression of soft-body animation sequences," Computers & Graphics, vol. 2004, no. 28, pp. 25--34, June 2004.Google ScholarGoogle ScholarCross RefCross Ref
  7. M. Sattler, R. Sarlette, and R. Klein, "Simple and efficient compression of animation sequences," in Proc. Eurographics/SIGGRAPH Symp. Computer Animation, July 2005, pp. 209--217. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. D. Kalman, "A singularly valuable decomposition: The SVD of a matrix," The College Mathematics Journal, vol. 27, no. 1, Jan. 1996.Google ScholarGoogle ScholarCross RefCross Ref
  9. G. H. Sullivan and T. Wiegand, "Rate-distortion optimization for video compression," IEEE Signal Proc. Magazine, vol. 1, no. 98, pp. 74--90, Nov. 1998.Google ScholarGoogle ScholarCross RefCross Ref
  10. T. M. Cover and J. A. Thomas, Elements of Information Theory. Wiley, 1991. Google ScholarGoogle ScholarDigital LibraryDigital Library

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  1. R-D optimized compression of 3-D mesh sequences based on principal component analysis

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            cover image ACM Other conferences
            ACM-SE 44: Proceedings of the 44th annual Southeast regional conference
            March 2006
            823 pages
            ISBN:1595933158
            DOI:10.1145/1185448

            Copyright © 2006 ACM

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            Association for Computing Machinery

            New York, NY, United States

            Publication History

            • Published: 10 March 2006

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