Motion compression using principal geodesics analysis

Computer Graphics Forum

Volumn 28, Issue 2, 2009, Pages 355-364

  Tournier, M ^a   Wu, X ^a   Courty, N ^b   Arnaud, E ^a   Reveret L ^a  

^a UNIV GRENOBLE ALPES   (France)

^b UNIVERSITÉ DE BRETAGNE SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DIGITAL STORAGE; END EFFECTORS; INVERSE KINEMATICS; INVERSE PROBLEMS; COMPUTER GRAPHICS; ITERATIVE METHODS;

CONFIGURATION SPACE; ENTERTAINMENT INDUSTRY; HUMAN MOTION DATA; JOINT TRAJECTORIES; LOSSY COMPRESSION METHODS; MINIMIZATION ALGORITHMS; MOTION COMPRESSION; TEMPORAL AND SPATIAL;

ITERATIVE METHODS; DIGITAL STORAGE;

EID: 63049095459     PISSN: 01677055     EISSN: 14678659     Source Type: Journal    
DOI: 10.1111/j.1467-8659.2009.01375.x     Document Type: Article

References (23)

1. Arikan O. : Compression of motion capture databases. ACM Trans. Graph. 25, 3 (2006 890 897.
2. Buss S. R., Fillmore J. P. : Spherical averages and applications to spherical splines and interpolation. ACM Transactions on Graphics 20, 2 (2001 95.
3. Beaudoin P., Poulin P., Panne M. V. D. : Adapting wavelet compression to human motion capture clips. In GI ′1: Proceedings of Graphics Interface 2007 (New York, NY, USA, 2007 ACM, pp. 313 318.
4. Fletcher P. T., Lu C., Joshi S. C. : Statistics of shape via principal geodesic analysis on lie groups. In 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition 2003 Proceedings CVPR-03 (2003 pp. I-95.
5. Fletcher P. T., Lu C., Pizer S. M., Joshi S. C. : Principal geodesic analysis for the study of nonlinear statistics of shape. IEEE Transactions on Medical Imaging 23, 8 (2004 995.
6. Grochow K., Martin S. L., Hertzmann A., Popovic Z. : Style-based inverse kinematics. In ACM SIGGRAPH 2004 Papers on - SIGGRAPH 04 SIGGRAPH 04 (New York, NY, USA, 2004 ACM Press, p. 522.
7. Grassia F. S. : Practical parameterization of rotations using the exponential map. journal of graphics tools 3, 3 (1998 29 48.
8. J. J. Duistermaat J. A. C. K. : Lie Groups. Springer, 2000.
9. Karni Z., Gotsman C. : Compression of soft-body animation sequences, 2004.
10. Lengyel J. E. : Compression of time-dependent geometry. In I3D ′1: Proceedings of the 1999 symposium on Interactive 3D graphics (New York, NY, USA, 1999 ACM, pp. 89 95.
11. Liu G., McMillan L. : Segment-based human motion compression. In SCA ′1: Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation (Aire-la-Ville, Switzerland, Switzerland, 2006 Eurographics Association, pp. 127 135.
12. Lee J., Shin S. Y. : A coordinate-invariant approach to multiresolution motion analysis. Graphical Models 63, 2 (2001 87.
13. Moakher M. : Means and averaging in the group of rotations. SIAM J. Matrix Anal. Appl. 24, 1 (2002 1 16.
14. Murray R. M., Sastry S. S., Zexiang L. : A Mathematical Introduction to Robotic Manipulation. CRC Press, Inc., Boca Raton, FL, USA, 1994.
15. Pennec X. : Intrinsic statistics on riemannian manifolds: Basic tools for geometric measurements. Journal of Mathematical Imaging and Vision 25, 1 (2006 127.
16. Rahman I. U., Drori I., Stodden V. C., Donoho D. L., Schroder P. : Multiscale representations for manifold-valued data. Multiscale Modeling & Simulation 4, 4 (2005 1201 1232.
17. Reitsma P. S. A., Pollard N. S. : Perceptual metrics for character animation. In ACM SIGGRAPH 2003 Papers on - SIGGRAPH 03 SIGGRAPH 03 (New York, NY, USA, 2003 ACM Press, p. 537.
18. Ren L., Patrick A., Efros A. A., Hodgins J. K., Rehg J. M. : A data-driven approach to quantifying natural human motion. In ACM SIGGRAPH 2005 Papers on - SIGGRAPH 05 SIGGRAPH 05 (New York, NY, USA, 2005 ACM Press, p. 1090.
19. Said S., Courty N., LeBihan N., Sangwine S. : Exact principal geodesic analysis for data on so(3). In Proc. of the 15th European Signal Processing Conference (EUSIPCO 2007) (Poznan, Poland, September 2007).
20. Shoemake K. : Animating rotation with quaternion curves. In SIGGRAPH ′1: Proceedings of the 12th annual conference on Computer graphics and interactive techniques (New York, NY, USA, 1985 ACM, pp. 245 254.
21. Safonova A., Hodgins J. K., Pollard N. S. : Synthesizing physically realistic human motion in low-dimensional, behavior-specific spaces. In ACM SIGGRAPH 2004 Papers on - SIGGRAPH 04 SIGGRAPH 04 (New York, NY, USA, 2004 ACM Press, p. 514.
22. Sattler M., Sarlette R., Klein R. : Simple and efficient compression of animation sequences. In Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation - SCA 05 SCA 05 (New York, NY, USA, 2005 ACM Press, p. 209.
23. Sweldens W. : The lifting scheme: a construction of second generation wavelets. SIAM J. Math. Anal. 29, 2 (1998 511 546.