Generalized metric energies for continuous shape deformation

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 8177 LNCS, Issue , 2014, Pages 135-157

  Martinez Esturo, Janick ^a,b   Rössl, Christian ^a   Theisel, Holger ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

^b SAARLAND UNIVERSITY   (Germany)

Author keywords

Isometry; Shape deformation; Vector field

Indexed keywords

COMPUTER GRAPHICS; LINEAR PROGRAMMING;

ANISOTROPIC BEHAVIORS; CHARACTER ANIMATION; CONTINUOUS DEFORMATIONS; ISOMETRY; LINEAR OPTIMIZATION; NONRIGID REGISTRATION; SHAPE DEFORMATION; VECTOR FIELDS;

DEFORMATION;

EID: 84901826786     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-54382-1_8     Document Type: Conference Paper

References (34)

1. Alexa, M., Cohen-Or, D., Levin, D.: As-rigid-as-possible shape interpolation. In: Proc. SIGGRAPH, pp. 157-164 (2000)
2. Ben-Chen, M., Butscher, A., Solomon, J., Guibas, L.: On discrete killing vector fields and patterns on surfaces. In: Proc. SGP, pp. 1701-1711 (2010)
3. Ben-Chen, M., Weber, O., Gotsman, C.: Variational harmonic maps for space deformation. ACM Trans. Graph. 28(3), 34:1-34:11 (2009)
4. Botsch, M., Pauly, M., Gross, M., Kobbelt, L.: Primo: coupled prisms for intuitive surface modeling. In: Proc. SGP, pp. 11-20 (2006)
5. Botsch, M., Sorkine, O.: On linear variational surface deformation methods. IEEE TVCG 14(1), 213-230 (2008)
6. do Carmo, M.P.: Differential Geometry of Curves and Surfaces. Prentice-Hall (1976)
7. Cashman, T.J., Hormann, K.: A continuous, editable representation for deforming mesh sequences with separate signals for time, pose and shape. Comput. Graph. Forum 31(2), 735-744 (2012)
8. Chao, I., Pinkall, U., Sanan, P., Schröder, P.: A simple geometric model for elastic deformations. ACM Trans. Graph. 29(4), 1-38 (2010)
9. Chen, Y., Davis, T.A., Hager, W.W., Rajamanickam, S.: Algorithm 887: Cholmod, supernodal sparse cholesky factorization and update/downdate. ACM Trans. Math. Softw. 35(3), 1-22 (2008)
10. Floater, M.S., Hormann, K.: Surface parameterization: a tutorial and survey. In: Advances in Multiresolution for Geometric Modelling, pp. 157-186. Springer (2005)
11. von Funck, W., Theisel, H., Seidel, H.P.: Vector field based shape deformations. ACM Trans. Graph. 25(3), 1118-1125 (2006)
12. von Funck, W., Theisel, H., Seidel, H.P.: Explicit control of vector field based shape deformations. In: Proc. Pacific Graphics, pp. 291-300 (2007)
13. Heeren, B., Rumpf, M., Wardetzky, M., Wirth, B.: Time-discrete geodesics in the space of shells. Comp. Graph. Forum 31(5), 1755-1764 (2012)
14. Hormann, K., Greiner, G.: MIPS: An efficient global parametrization method. In: Curve and Surface Design 1999, pp. 153-162. Vanderbilt Press (2000)
15. Hormann, K., Polthier, K., Sheffer, A.: Mesh parameterization: Theory and practice. In: Proc. SIGGRAPH Asia (2008)
16. Hormann, K., Floater, M.S.: Mean value coordinates for arbitrary planar polygons. ACM Trans. Graph. 25(4), 1424-1441 (2006)
17. Igarashi, T., Moscovich, T., Hughes, J.F.: As-rigid-as-possible shape manipulation. ACM Trans. Graph. 24(3), 1134-1141 (2005)
18. Jacobson, A., Baran, I., Popović, J., Sorkine, O.: Bounded biharmonic weights for real-time deformation. ACM Trans. Graph. 30(4), 1-78 (2011)
19. Joshi, P., Meyer, M., DeRose, T., Green, B., Sanocki, T.: Harmonic coordinates for character articulation. ACM Trans. Graph. 26(3) (2007)
20. Kami, Z., Freedman, D., Gotsman, C.: Energy-based image deformation. In: Proc. SGP, pp. 1257-1268 (2009)
21. Kilian, M., Mitra, N.J., Pottmann, H.: Geometric modeling in shape space. ACM Trans. Graph. 26(3), 1-64 (2007)
22. Lipman, Y.: Bounded distortion mapping spaces for triangular meshes. ACM Trans. Graph. 31(4), 108:1-108:13 (2012)
23. Lipman, Y., Levin, D., Cohen-Or, D.: Green coordinates. ACM Trans. Graph. 27(3), 78:1-78:10 (2008)
24. Liu, L., Zhang, L., Xu, Y., Gotsman, C., Gortler, S.J.: A local/global approach to mesh parameterization. In: Proc. SGP, pp. 1495-1504 (2008)
25. Martinez Esturo, J., Rössl, C., Theisel, H.: Continuous deformations by isometry preserving shape integration. In: Boissonnat, J.-D., Chenin, P., Cohen, A., Gout, C., Lyche, T., Mazure, M.-L., Schumaker, L. (eds.) Curves and Surfaces 2011. LNCS, vol. 6920, pp. 456-472. Springer, Heidelberg (2012)
26. McAdams, A., Zhu, Y., Selle, A., Empey, M., Tamstorf, R., Teran, J., Sifakis, E.: Efficient elasticity for character skinning with contact and collisions. ACM Trans. Graph. 30(4), 1-37 (2011)
27. Minka, T.P.: Old and new matrix algebra useful for statistics. Tech. rep., MIT (2001)
28. Müller, M., Dorsey, J., McMillan, L., Jagnow, R., Cutler, B.: Stable real-time deformations. In: Proc. SCA, pp. 49-54 (2002)
29. Solomon, J., Ben-Chen, M., Butscher, A., Guibas, L.: As-killing-as- possible vector fields for planar deformation. Comput. Graph. Forum 30(5), 1543-1552 (2011)
30. Solomon, J., Ben-Chen, M., Butscher, A., Guibas, L.: Discovery of intrinsic primitives on triangle meshes. Comput. Graph. Forum 30(2), 365-374 (2011)
31. Sorkine, O., Alexa, M.: As-rigid-as-possible surface modeling. In: Proc. SGP, pp. 109-116 (2007)
32. Sýkora, D., Dingliana, J., Collins, S.: As-rigid-as-possible image registration for hand-drawn cartoon animations. In: Proc. NPAR, pp. 25-33 (2009)
33. Weber, O., Ben-Chen, M., Gotsman, C., Hormann, K.: A complex view of barycentric mappings. Comput. Graph. Forum 30(5), 1533-1542 (2011)
34. Weber, O., Myles, A., Zorin, D.: Computing extremal quasiconformal maps. Comput. Graph. Forum 31(5), 1679-1689 (2012)