Harmonic coordinates for character articulation

Proceedings of the ACM SIGGRAPH Conference on Computer Graphics

Volumn , Issue , 2007, Pages

  Joshi, Pushkar ^a   Meyer, Mark ^a   Derose, Tony ^a   Green, Brian ^a   Sanocki, Tom ^a  

^a Pixar Animation Studios ^*  (United States)

Author keywords

Barycentric coordinates; Free form deformations; Mean value coordinates; Rigging

Indexed keywords

BARYCENTRIC COORDINATES; CHARACTER ARTICULATION; FREE FORM DEFORMATIONS; MEAN VALUE COORDINATES; RIGGING; FEATURE FILMS; HARMONIC COORDINATES; VOLUME DEFORMATIONS;

ANIMATION; IMAGE RECONSTRUCTION; THREE DIMENSIONAL COMPUTER GRAPHICS; COMPUTATIONAL GEOMETRY; COMPUTATIONAL MECHANICS; COMPUTER APPLICATIONS; COMPUTER GRAPHICS; FLEXIBLE STRUCTURES; HARMONIC ANALYSIS; INTERACTIVE COMPUTER GRAPHICS; MOTION PICTURES; THREE DIMENSIONAL;

HARMONIC GENERATION; DEFORMATION;

EID: 37049018013     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1275808.1276466     Document Type: Conference Paper

References (28)

1. BASS, R. 1995. Probabilistic Techniques in Analysis. Springer-Verlag.
2. CAPELL, S.. GREEN, S., CURLESS, B.. DUCHAMP, T.. AND POPOVIC, Z. 2002. A multiresolution framework for dynamic deformations. In ACM SIGGRAPH Symposium on Computer Animation, ACM SIGGRAPH, 41-48.
3. CARR, J. C., BEATSON, R. K., CHERRIE, J. B., MITCHELL, T. J., FRIGHT, W. R., MCCALLUM, B. C., AND EVANS, T. R. 2001. Reconstruction and representation of 3D objects with radial basis functions. In SIGGRAPH 2001, Computer Graphics Proceedings, ACM Press / ACM SIGGRAPH, E. Fiume, Ed., 67-76.
4. CHOE, B., LEE, H., AND KO, H.-S. 2001. Performance-driven muscle-based facial animation. The Journal of Visualization and Computer Animation 12, 2, 67-79.
5. DEROSE, T., AND MEYER, M. 2006. Harmonic coordinates. Pixar Technical Memo 06-02, Pixar Animation Studios, January, http://graphics.pixar.com/HarmonicCoordinates/.
6. DUCHON. J. 1977. Splines minimizing rotation invariant seminorms in sobolev spaces. In Lecture Notes in Mathematics,Springer-Verlag, vol. 571.
7. FLOATER, M. S., KOS, G., AND REIMERS, M. 2005. Mean value coordinates in 3d. Computer Aided Geometric Design 22, 623-631.
8. FLOATER, M. S., HORMANN, K., AND KOS, G. 2006. A general construction of barycentric coordinates over convex polygons. Advances in Comp. Math. 24, 311-331.
9. FLOATER, M. 2003. Mean value coordinates. Computer Aided Geometric Design 20, 1, 19-27.
10. IGARASHL T., MOSCOVICH, T., AND HUGHES, J. F. 2005. Asrigid-as-possible shape manipulation. InSIGGRAPH '05: ACM SIGGRAPH 2005 Papers, ACM Press, New York, NY, USA, 1134-1141.
11. JOSHI, P., TIEN, W. C., DESBRUN, M., AND PIGHIN, F. 2006. Learning controls for blend shape based realistic facial animation. In SIGGRAPH '06: ACM SIGGRAPH 2006 Courses, ACM Press, New York, NY, USA, 17.
12. JOSHI, P., MEYER, M., DEROSE, T., GREEN, B., AND SANOCKI, T. 2007. Harmonic coordinates for character articulation. Pixar Technical Memo 06-02b, Pixar Animation Studios. http://graphics.pixar.com/HarmonicCoordinatesB/.
13. JU, T., SCHAEFER, S., AND WARREN, J. 2005. Mean value coordinates for closed triangular meshes. ACM Trans. Graph. 24, 3, 561-566.
14. LEWIS, J. P., CORDNER, M., AND FONG, N. 2000. Pose space deformation: a unified approach to shape interpolation and skeleton-driven deformation. In Proceedings of the 27th annual conference on Computer graphics and interactive techniques, 165-172.
15. LOOP, C. T., AND DEROSE, T. D. 1989. A multisided generalization of bézier surfaces. ACM Trans. Graph. 8, 3, 204-234.
16. MACCRACKEN, R., AND JOY, K. I. 1996. Free-form deformations with lattices of arbitrary topology. In Proceedings of SIGGRAPH '96, Annual Conference Series, 181-199.
17. MEYER, M., LEE, H., BARR, A., AND DESBRUN, M. 2002. Generalized barycentric coordinates for irregular polygons. Journal of Graphics Tools 7, 1, 13-22.
18. PINKHALL, U., AND POLTHIER, K. 1993. Computing discrete minimal surfaces and their conjugates. Experimental Mathematics 2, 15-36.
19. PORT, S. C., AND STONE, C. J. 1978. Brownian Motion and Classical Potential Theory. Academic Press.
20. R. SIBSON. 1981. A brief description of natural neighbor interpolation. In Interpreting Multivariate Data, V. Barnett, Ed. John Wiley, 21-36.
21. SEDERBERG, T. W., AND PARRY, S. R. 1986. Free-form deformation of solid geometric models. In SIGGRAPH '86: Proceedings of the 13th annual conference on Computer graphics and interactive techniques, ACM Press, New York, NY, USA, 151-160.
22. SHI, L., YU, Y., BELL, N., AND FENG, W.-W. 2006. A fast multigrid algorithm for mesh deformation. In SIGGRAPH '06: ACM SIGGRAPH 2006 Papers, ACM Press, New York, NY, USA, 1108-1117.
23. SORKINE, O. 2006. State of the art report: Differential representations for mesh processing. Computer Graphics Forum 25, 4.
24. SUMNER, R. W., ZWICKER, M., GOTSMAN, C., AND POPOVIC, J. 2005. Mesh-based inverse kinematics. ACM Trans. Graph. 24, 3, 488-495.
25. WACHPRESS, E. 1915. A Rational Finite Element Basis. Academic Press.
26. WAHBA, G. 1990. Spline models for observational data. In CBMS-NSF Regional Conference Series in Applied. Mathematics, SIAM, Philadelphia, PA, USA, vol. 59.
27. WARREN, J. 1996. Barycentric coordinates for convex polytopes. Advances in Computational Mathematics 6, 97-108.
28. ZAYER, R., RÖSSL, C., KARNI, Z., AND SEIDEL, H.-P. 2005. Harmonic guidance for surface deformation. In The European Association for Computer Graphics 26th Annual Conference: EUROGRAPHICS 2005, Blackwell, Dublin, Ireland, M. Alexa and J. Marks, Eds., vol. 24 of Computer Graphics Forum, Eurographics, 601-609.