Posture invariant correspondence of incomplete triangular manifolds

International Journal of Shape Modeling

Volumn 13, Issue 2, 2007, Pages 139-157

  Wuhrer, Stefanie ^a,b   Shu, Chang ^b   Bose, Prosenjit ^a   Azouz, Zouhour Ben ^b  

^a CARLETON UNIVERSITY   (Canada)

^b NATIONAL RESEARCH COUNCIL CANADA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATIC WAY; CORRESPONDENCE PROBLEMS; EUCLIDEAN SPACES; INITIAL ALIGNMENT; MULTI-DIMENSIONAL SCALING; POINT CORRESPONDENCES; PRIOR KNOWLEDGE; RIGID OBJECTS; TRIANGULAR MESHES;

MAPS;

EID: 52949126745     PISSN: 02186543     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218654307000981     Document Type: Article

References (29)

1. Brett Allen, Brian Curless, and Zoran Popović. The space of human body shapes: reconstruction and parameterization from range scans. ACM Transactions on Graphics, 22(3):587-594, 2003.
2. Dragomir Anguelov, Praveen Srinivasan, Daphne Koller, Sebastian Thrun, HoiCheung Pang, and James Davis. The correlated correspondence algorithm for unsupervised registration of nonrigid surfaces. In Neural Information Processing Systems, 2004.
3. Dragomir Anguelov, Praveen Srinivasan, Daphne Koller, Sebastian Thrun, Jim Rodgers, and James Davis. Scape: shape completion and animation of people. ACM Transactions on Graphics, 24(3):408-416, 2005.
4. Ilya Baran and Jovan Popovic. Automatic rigging and animation of 3d characters. ACM Transactions on Graphics, 26(3), 2007.
5. Ingwer Borg and Patrick Groenen. Modern Multidimensional Scaling Theory and Applications. Springer, 1997.
6. Alexander M. Bronstein, Michael M. Bronstein, and Ron Kimmel. Generalized multidimensional scaling: a framework for isometry-invariant partial surface matching. National Academy of Sciences, 103(5):1168-1172, 2006.
7. Alexander M. Bronstein, Michael M. Bronstein, and Ron Kimmel. Calculus of nonrigid surfaces for geometry and texture manipulation. IEEE Transactions of Visualization and Computer Graphics, 13(5):902-913, 2007.
8. Alexander M. Bronstein, Michael M. Bronstein, Ron Kimmel, and Irad Yavneh. Multigrid multidimensional scaling. Numerical Linear Algebra with Applications, Special issue on multigrid methods, 13(2-3):149-171, 2006.
9. Kenneth L. Clarkson. A randomized algorithm for closest-point queries. SIAM Journal on Computing, 17(4):830-847, 1988.
10. Trevor Cox and Michael Cox. Multidimensional Scaling, Second Edition. Chapman & Hall CRC, 2001.
11. Ian Dryden and Kanti Mardia. Statistical Shape Analysis. Wiley, 2002.
12. Asi Elad and Ron Kimmel. On bending invariant signatures for surfaces. IEEE Transactions on Pattern Analysis and Machine Intelligence, 25(10):1285-1295, 2003.
13. Yuval Eldar, Michael Lindenbaum, Moshe Porat, and Yehoshua, Zeevi. The farthest point strategy for progressive image sampling. IEEE Transactions on Image Processing, 6(9):1305-1315, 1997.
14. John C. Gower. Some distance properties of latent root and vector methods used in multivariate analysis. Biometrika, 53:325-338, 1966.
15. Piotr Indyk. Dimensionality reduction techniques for proximity problems. In Symposium on Discrete Algorithms, pages 371-378, 2000.
16. Piotr Indyk. Nearest Neighbors in High-Dimensional Spaces. In: Jacob E. Goodman and Joseph O'Rourke (Editors). Handbook of Discrete and Computational Geometry (2nd edition). Chapter 39. CRC Press, 2004.
17. Varun Jain and Hao Zhang. A spectral approach to shape-based retrieval of articulated 3d models. Computer-Aided Design, 39(5):398-407, 2007.
18. Varun Jain, Hao Zhang, and Oliver van Kaick. Non-rigid spectral correspondence of triangle meshes. International Journal on Shape Modeling, Special Issue of SMI 2006, to appear.
19. Ron Kimmel and James Sethian. Computing geodesic paths on manifolds. National Academy of Sciences, 95:8431-8435, 1998.
20. Vladislav Kraevoy, Alla Sheffer, and Craig Gotsman. Matchmaker: Constructing constrained texture maps. ACM Transactions on Graphics, 22(3):326-333, 2003.
21. Xinju Li and Igor Guskov. Multi-scale features for approximate alignment of pointbased surfaces. In Proceedings of 3rd ACM Siggraph/Eurographics Symposium on Geometry Processing, 2005.
22. Dong C. Liu and Jorge Nocedal. On the limited memory method for large scale optimization. Mathematical Programming, 45:503-528, 1989.
23. Stefan Meiser. Point location in arrangements of hyperplanes. Information and Computation, 106(2):286-303, 1993.
24. James Munkres. Algorithms for the assignment and transportation problems. Journal of the Society of Industrial and Applied Mathematics, 5(1):32-38, 1957.
25. Willian Press, Brian Flannery, Saul Teukolsky, and William Vetterling. Numerical Recipes in C: the Art of Scientific Computing. Cambridge University Press, 1993.
26. Kathleen Robinette, Hans Daanen, and Eric Paquet. The caesar project: A 3-d surface anthropometry survey. In 3-D Digital Imaging and Modeling, pages 180-186, 1999.
27. John Schreiner, Arul Asirvatham, Emil Praun, and Hugues Hoppe. Inter-surface mapping. In ACM Transactions on Graphics, volume 23, pages 870-877, 2004.
28. Sébastien Valette and Jean-Marc Chassery. Approximated centroidal voronoi diagrams for uniform polygonal mesh coarsening. Computer Graphics Forum (Eurographics 2004 proceedings), 23(3):381-390, 2004.
29. Zouhour Ben Azouz, Prosenjit Bose, Chang Shu, and Stefanie Wuhrer. Approximations of geodesic distances for incomplete triangular manifolds. In Proceedings of the 19th Canadian Conference on Computational Geometry, pages 177-180, 2007.